"Coincidence"

Compiled by

Eddie Yeghiayan

"Weak and Strong Averages in Probability and the Theory of Numbers." Ph.D. Dissertation, Department of Statistics, Harvard University, 1974.

"A History of Probability." Review of L. E. Maistrov's

*Probability Theory: A Historical Sketch*.*Science*(March 28, 1975), 187(4182):1190-1191.

UCI Sci Lib Q 1 S35 Drum

URL:http://links.jstor.org/sici?sici=0036-8075%2819750328% 293%3A187%3C1190%3AAHOP%3E2.0.CO%3B2-7

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"Buffon's Problem with a Long Needle."

*Journal of Applied Probability*(September 1976), 13(3):614-618.

UCI Sci Lib QA 276 J65 Drum

"The Distribution of Leading Digits and Uniform Distribution Mod 1."

*Annals of Probability*(February 1977), 5(1):72-81.

UCI Sci Lib HA 1 A82 Drum

**Abstract**: "The lead digit behavior of a large class of arithmetic sequences is determined by using results from the theory of uniform distribution $\operatorname{mod} 1$. Theory for triangular arrays is developed and applied to binomial coefficients. A conjecture of Benford's that the distribution of digits in all places tends to be nearly uniform is verified."

URL:http://links.jstor.org/sici?sici=0091- 1798%28197702%295%3C72%3ATDOLDA%3E2.0.CO%3B2-2

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UCI Main Lib HA 1 A82

UCI Sci Lib HA 1 A82 Drum"Examples for the Theory of Infinite Iteration of Summability Methods."

*Candian Journal of Mathematics*(June 1977), 29(3):489-497.

UCI Sci Lib QA 1 C36 Drum(with William G. Cochran, Allan P. Donner, David C. Hoaglin, Nicholas E. O'Connor, Osler L. Peterson, and Victoria M. Rosenoer.) "Experiments in Surgical Treatment of Doedenal Ulcer." In John P. Bunker, Benjamin A. Barnes and Frederick Mosteller, eds.,

*Costs, Risks, and Benefits of Surgery*. New York: Oxford University Press, 1977.

UCI Sci Lib WO 100 C842 1977 Bar"Finite Forms of de Finetti's Theorem on Exchangeability."

*Synthese*(October 1977), 36(2):271-281.

UCI Sci Lib Q 4 S9 Drum

Issue is entitled "Foundations of Probability and Statistics, Part II."(with I. Olkin and S.G. Ghurye.) Review of A.M. Kagan, Yu V. Linnik, and C. Radhakhrishna Rao's

*Characterization Problems in Mathematical Statistics*.*Annals of Statistics*(May 1977), 5(3):583-592.

UCI Main Lib HA 1 A83

UCI Sci Lib HA 1 A83 DrumReview of M.S. Bartlett's

*Probability, Statistics and Time: A Collection of Essays*.*American Scientist*(January-February 1977), 65(1):106.

UCI Sci Lib Q 11 A47 Drum(with Frederick Mosteller and Hironari Onishi.) "Second-Order Terms for the Variances and Covariances of the Number of Prime Factors -- Including the Square Free Case."

*Journal of Number Theory*(May 1977), 9(2):187-202.

UCI Sci Lib QA 241 J7 Drum(with R.L. Graham.) "Spearman's Footrule as a Measure of Disarray."

*Journal of the Royal Statistical Society, Series B (Methodological)*(1977), 39(2):262-268.

**Abstract**: "Spearman's measure of disarray $D$ is the sum of the absolute values of the difference between the ranks. We treat $D$ as a metric on the set of permutations. The limiting mean, variance and normality are established. $D$ is shown to be related to the metric $I$ arising from Kendall's $\tau$ through the combinatorial inequality $I \leqslant D \leqslant 2I$."

URL:http://links.jstor.org/sici?sici=0035- 9246%281977%2939%3C262%3ASFAAMO%3E2.0.CO%3B2-S

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UCI Main Lib HA 1 R8

Review of Glenn Shafer's

*A Mathematical Theory of Evidence*.*Journal of the American Statistical Association*(September 1978), 73(363):677-678.

UCI Main Lib HA 1 A6

URL:http://links.jstor.org/sici?sici=0162-1459%28197809%2973%3C677%3A%3E2.0. CO%3B2-L

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(with Charles Stein.) "Some Tauberian Theorems Related to Coin Tossing."

*Annals of Probability*(June 1978), 6(3):483-490.

**Abstract**: "Let $A$ be a subset of the integers and let $S_n$ be the number of heads in $n$ tosses of a $p$ coin. If $\lim_{n\rightarrow\infty} P(S_n \in A)$ exists for some $p$ then the limit exists for all $p$ and does not depend on $p$. The relation of the limit to the density of $A$ and to a similar Poisson limit is also given."

URL:http://links.jstor.org/sici?sici= 0091-1798%28197806%296%3C483%3ASTTRTC%3E2.0.CO%3B2-F

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UCI Main Lib HA 1 A82

UCI Sci Lib HA 1 A82 Drum"Statistical Problems in ESP Research."

*Science*(July 14, 1978), 201(4351):131-136.

**Abstract**: "In search of repeatable ESP experiments, modern investigators are using more complex targets, richer and freer responses, feedback, and more naturalistic conditions. This makes tractable statistical models less applicable. Moreover, controls often are so loose that no valid statistical analysis is possible. Some common problems are multiple end points, subject cheating, and unconscious sensory cueing. Unfortunately, such problems are hard to recognize from published records of the experiments in which they occur; rather, these problems are often uncovered by reports of independent skilled observers who were present during the experiment. This suggests that magicians and psychologists be regularly used as observers. New statistical ideas have been developed for some of the new experiments. For example, many modern ESP studies provide subjects with feedback-partial information about previous guesses-to reward the subjects for correct guesses in hope of inducing ESP learning. Some feedback experiments can be analyzed with the use of skill-scoring, a statistical procedure that depends on the information available and the way the guessing subject uses this information."

URL: http://links.jstor.org/sici?sici=0036-8075%2819780714%293%3A201%3C131% 3ASPIER%3E2.0.CO%3B2-I

TextSee letters occasioned by this article: Charles T. Tart. "ESP Research."

*Science*(December 15, 1978), 202(4373):1145. Harold E. Puthoff and Russell Targ. "ESP Research."*Science*(December 15, 1978), 202(4373):1145-1146. Persi Diaconis. "ESP Research."*Science*(December 15, 1978), 202(4373):1146.

URL:http://links.jstor.org/sici?sici= 0036-8075%2819781215%293%3A202%3C1145%3AER%3E2.0.CO%3B2-V

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UCI Sci Lib Q 1 S35 Drum

(with Don Ylvisaker.) "Conjugate Priors for Exponential Families."

*Annals of Statistics*(March 1979), 7(2):269-281.

**Abstract**: "Let $X$ be a random vector distributed according to an exponential family with natural parameter $\theta \in \Theta$. We characterize conjugate prior measures on $\Theta$ through the property of linear posterior expectation of the mean parameter of $X : E\{E(X|\theta)|X = x\} = ax + b$. We also delineate which hyperparameters permit such conjugate priors to be proper."

URL:http://links.jstor.org/sici?sici= 0090-5364%28197903%297%3C269%3ACPFEF%3E2.0.CO%3B2-A

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UCI Sci Lib HA 1 A83 Drum(with David Freedman.) "On Rounding Percentages."

*Journal of the American Statistical Association*(June 1979), 74(366(Part 1)):359-364.

**Abstract**: "We assess the probability that a table of rounded percentages adds to 100 percent. This extends work of Mosteller, Youtz, and Zahn (1967) who found that the chance of rounding to 100 percent was about $\frac{3}{4}$ with three categories, $\frac{2}{3}$ with four categories, and $(6/\pi c)^\frac{1}{2}$ with a large number $c$ of categories. We give a mathematical treatment of this phenomenon when the table is drawn from a multinomial distribution or from a mixture of multinomial distributions. We discuss the very different small-sample behavior and treat Benford's leading digit data as an example."

URL:http://links.jstor.org/sici?sici= 0162-1459%28197906%2974%3C359%3AORP%3E2.0.CO%3B2-9

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UCI Main Lib HA 1 A6

"Average Running Time of the Fast Fourier Transform."

*Journal of Algorithms*(June 1980), 1(2):187-208.

UCI Sci Lib QA 76.6 J69 Drum(with David Freedman.) "De Finetti's Generalizations of Exchangeability." In Richard Jeffrey, ed.,

*Studies in Inductive Logic and Probability*, Vol. II, pp. 235-250. Berkeley: University of California Press, 1980.

UCI Sci Lib QA273.4 C37 Bar*(with David Freedman.) "De Finetti's Theorem for Markov Chains."

*Annals of Probability*(February 1980), 8(1):115-130.

UCI Main Lib HA 1 A82

UCI Sci Lib HA 1 A82 Drum*(with David Freedman.) "Finite Exchangeable Sequences."

*Annals of Probability*(August 1980), 8(4):745-764.

UCI Main Lib HA 1 A82

UCI Sci Lib HA 1 A82 Drum

*(with Ronald Graham.) "The Analysis of Sequential Experiments with Feedback to Subjects."

*Annals of Statistics*(January 1981), 9(1):3-23.

**Abstract**: "A problem arising in taste testing, medical, and parapsychology experiments can be modeled as follows. A deck of $n$ cards contains $c_i$ cards labeled $i, 1 \leq i \leq r$. A subject guesses at the cards sequentially. After each guess the subject is told the card just guessed (or at least if the guess was correct or not). We determine the optimal and worst case strategies for subjects and the distribution of the number of correct guesses under these strategies. We show how to use skill scoring to evaluate such experiments in a way which (asymptomatically) does not depend on the subject's strategy."

URL:http://links.jstor.org/sici?sici= 0090-5364%28198101%299%3C3%3ATAOSEW%3E2.0.CO%3B2-C

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UCI Main Lib HA 1 A83

UCI Sci Lib HA 1 A83 Drum(with Mehrdad Shahshahani.) "Generating a Random Permutation with Random Transpositions."

*Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete*(1981), 57(2):159-179.

UCI Sci Lib QA 273 Z4 Drum"How Fast is the Fastest Fourier Transform?" In William F. Eddy, ed.,

*Computer Science and Statistics: Proceedings of the 13th Symposium on the Interface*, pp. 43-44. New York: Springer, 1981.

Held in Pittsburgh, Pa."Magical Thinking in the Analysis of Scientific Data." In Thomas A. Sebeok and Robert Rosenthal, eds.,

*The Clever Hans Phenomenon: Communication with Horses, Whales, Apes, and People*, pp. 236-244. Annals of the New York Academy of Sciences, 364. New York: New York Academy of Sciences, 1981.

Papers resulting from a conference held by the New York Academy of Sciences, May 6-7, 1980.

UCI Sci Lib Q 11 N5 Bar(with David Freedman.) "On the Histogram as a Density Estimator: L_2 Theory."

*Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete*(1981), 57(4):453-476.

UCI Sci Lib QA 273 Z4 Drum(with David Freedman.) "On the Maximum Deviation between the Histogram and the Underlying Density."

*Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete*(1981), 58(2):139-167.

UCI Sci Lib QA 273 Z4 Drum(with Fan R.K. Chung, Ronald L. Graham, and Colin L. Mallows.) "On the Permanents of Complements of the Direct Sum of Identity Matrices."

*Advances in Applied Mathematics*(March 1981), 2(2):121-137.

UCI Sci Lib QA 1 A188 Drum(with David Freedman.) "The Persistence of Cognitive Illusions."

*Behavioral and Brain Sciences*(September 1981), 4(3):333-334.

Commentary on L. Jonathan Cohen's "Can Human Irrationality be Experimentally Demonstrated?", pp. 317-330.

UCI Sci Lib W1 BE125 Drum(with David Freedman.) "On the Statistics of Vision: The Julesz Conjecture."

*Journal of Mathematical Psychology*(October 1981), 24(2):112-138.

UCI Main Lib BF 1 J657

(with David Freedman.) "Bayes Rules for Location Problems." In Shanti S. Gupta and James O. Berger, eds.,

*Statistical Decision Theory and Related Topics III*, Vol. 1, pp. 315-327. New York: Academic Press, 1982.

Proceedings of the Third Purdue Symposium on Statistical Decision Theory and Related Topics, held at Purdue University on June 1-5, 198, West Lafayette, Ind.

UCI Sci Lib QA279.4 S743 1982 Bar(with David Freedman.) "De Finetti's Theorem for Symmetric Location Families."

*Annals of Statistics*(March 1982), 10(1):184-189.

**Abstract**: "Necessary and sufficient conditions are obtained for an exchangeable sequence of random variables to be a mixture of symmetric location families."

URL:http://links.jstor.org/sici?sici= 0090-5364%28198203%2910%3C184%3ADFTFSL%3E2.0.CO%3B2-4

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UCI Main Lib HA 1 A83

UCI Sci Lib HA 1 A83 Drum(with David Freedman.) "On Inconsistent M-estimators."

*Annals of Statistics*(June 1982), 10(2):454-461.

UCI Main Lib HA 1 A83

UCI Sci Lib HA 1 A83 Drum(with David Freeman.) "On the Difference between the Empirical Histogram and the Normal Curve for Sums: Part II."

*Pacific Journal of Mathematics*(June 1982), 100(2):359-371.

UCI Sci Lib QA 1 P18 Drum(with David Freedman.) "On the Maximum Difference between the Empirical and Expected Histograms for Sums."

*Pacific Journal of Mathematics*(June 1982), 100(2):287-327.

UCI Sci Lib QA 1 P18 Drum(with David Freedman.) "On the Mode of an Empirical Histogram for Sums."

*Pacific Journal of Mathematics*(June 1982), 100(2):373-385.

UCI Sci Lib QA 1 P18 Drum*(with Sandy L. Zabell.) "Updating Subjective Probability."

*Journal of the American Statistical Association*(December 1982), 77(380):822-830.

**Abstract**: "Jeffrey's rule for revising a probability $P$ to a new probability $P^\ast$ based on new probabilities $P^\ast(E_i)$ on a partition $\{E_i\}_{i = 1}^n$ is $$P^\ast(A) = \sum P(A \mid E_i) P^\ast(E_i).$ Jeffrey's rule is applicable if it is judged that $P^\ast(A \mid E_i) = P(A \mid E_i)$ for all $A$ and $i$. This article discusses some of the mathematical properties of this rule, connecting it with sufficient partitions, and maximum entropy updating of contingency tables. The main results concern simultaneous revision on two partitions."

URL:http://links.jstor.org/sici?sici=0162-1459%28198212%2977%3C822%3AUSP% 3E2.0.CO%3B2-W

Text UCI Main Lib HA 1 A6(with William S. Cleveland and Robert McGill.) "Variables on Scatterplots Look More Highly Correlated When the Scales Are Increased."

*Science*(June 4, 1982), 216(4550):1138-1141.

**Abstract**: "Judged association between two variables represented on scatterplots increased when the scales on the horizontal and vertical axes were simultaneously increased so that the size of the point cloud within the frame of the plot decreased. Judged association was very different from the correlation coefficient, r, which is the most widely used measure of association."

URL:http://links.jstor.org/sici?sici= 0036-8075%2819820604%293%3A216%3C1138%3AVOSLMH%3E2.0.

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UCI Sci Lib Q 1 S35 Drum

(with Bradley Efron.) "Computer Intensive Methods in Statistics."

*Scientific American*(May 1983), 248(5):116-130.

UCI Sci Lib T 1 S5 Drum(with David Freedman.) "Frequency Properties of Bayes Rules." In G.E.P. Box, Tom Leonard, and Chien Fu Wu, eds.,

*Scientific Inference, Data Analysis, and Robustness*, pp. 105-115. Publication No. 48 of the Mathematics Research Center, The University of Wisconsin-Madison. New York: Academic Press, 1983.

Proceedings of the Conference on Scientific Inference, Data Analysis, and Robustness, held at the Mathematics Research Center, The University of Wisconsin--Madison, November 4-6, 1981.

UCI Sci Lib QA3 U45 no. 48 Bar(with Jerome H. Friedman.) "M and N Plots." In M. Haseeb Rizvi, Jagdish S. Rustagi, and David Siegmund, eds.,

*Recent Advances in Statistics: Papers in Honor of Herman Chernoff on his Sixtieth Birthday*, pp. 425-447. New York: Academic Press, 1983.

UCI Sci Lib QA276.16 R43 1983 Bar(with R. L. Graham and William M. Kantor.) "The Mathematics of Perfect Shuffles."

*Advances in Applied Mathematics*(June 1983), 4(2):175-196.

UCI Sci Lib QA 1 A188 Drum(with David Freedman.) "On Inconsistent Bayes Estimates in the Discrete Case."

*Annals of Statistics*(December 1983), 11(4):1109-1118.

**Abstract**: "Consider sampling from an unknown probability distribution on the integers. With a tail-free prior, the posterior distribution is consistent. With a mixture of a tail-free prior and a point mass, however, the posterior may be inconsistent. This is likewise true for a countable mixture of tail-free priors. Similar results are given for Dirichlet priors."

URL:http://links.jstor.org/sici?sici= 0090-5364%28198312%2911%3C1109%3AOIBEIT%3E2.0.CO%3B2-3

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UCI Main Lib HA 1 A83

UCI Sci Lib HA 1 A83 Drum

(with David Freedman.) "Asymptotics of Graphical Projection Pursuit."

*Annals of Statistics*(September 1984), 12(3):793-815.

**Abstract**: "Mathematical tools are developed for describing low-dimensional projections of high-dimensional data. Theorems are given to show that under suitable conditions, most projections are approximately Gaussian."

URL:http://links.jstor.org/sici?sici= 0090-5364%28198409%2912%3C793%3AAOGPP%3E2.0.CO%3B2-1

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UCI Main Lib HA 1 A83

UCI Sci Lib HA 1 A83 Drum"Comment on 'Extreme Point Models in Statistics,' by S. Lauritzen."

*Scadinavian Journal of Statistics*(1984), 11:86-87.(with Mehrdad Shahshahani.) "On Nonlinear Functions of Linear Combinations."

*SIAM Journal on Scientific and Statistical Computing*(March 1984), 5(1):175-191.

UCI Sci Lib QA 297 S587a Drum(with David Freedman.) "Partial Exchangeability and Sufficiency." In J. K. Ghosh and J. Roy, eds.,

*Statistics: Applications and New Directions*, pp. 205-236. Calcutta: Indian Statistical Institute, 1984.

Proceedings of the Indian Statistical Institute Golden Jubilee International Conference on Statistics: Applications and New Directions, Calcutta, 16 December-19 December, 1981.Sampson, Wallace.

*Psychic Claims*. Paranormal Beliefs: Scientific Facts & Fictions. Buffalo, NY: CSICOP, 1984,

3 sound cassettes.

Recorded in 1984 in Palo Alto at a conference of the Committee for the Scientific Investigation of Claims of the Paranormal. Speakers Wallace Sampson, Bob Steiner, Mark Plummer, Steven Shore, James Randi, William Roll and Persi Diaconis represent both skeptics and believers in the paranormal as they examine various psychic claims.

"Bayesian Statistics as Honest Work." In Lucien M. LeCam and Richard A. Olshen, eds.,

*Proceedings of the Berkeley Conerence in Honor of Jerzey Neyman and Jack Kiefer*, Vol. I, pp. 53-64. The Wadsworth Statistics/Probability Series. Monterey, Calif.: Wadsworth Advanced Books & Software; Hayward, Calif.: Institute of Mathematical Statistics, 1985.

Proceedings of a conference held in Berkeley, Calif., June 20-July 1, 1983.

UCI Sci Lib QA276.A1 P75 1985 Bar"Discussion: Projection Pursuit."

*Annals of Statistics*(June 1985), 13(2):494-496.

Commentary on Peter J. Huber's "Projection Pursuit," pp. 435-475.

URL:http://links.jstor.org/sici?sici= 0090-5364%28198506%2913%3C494%3ADPP%3E2.0.CO%3B2-W

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UCI Main Lib HA 1 A83

UCI Sci Lib HA 1 A83 Drum"Interview with Persi Diaconis." In Donald J. Albers and G.L. Alexanderson, eds.,

*Mathematical People: Profiles and Interviews*, pp. 66-74. Boston: Birkhäuser, 1985.

Interview with Donald J. Albers.

UCI Sci Lib QA28 M37 1985 Bar"Prestigitator of Digits: Persi Diaconis transforms statistics with a magician's touch."

*Science 85*(April 1985), 6(3):66-72.

Interview with Gina Kolata.

UCI Sci Lib Q 1 S351 Drum*(with Donald Ylvisaker.) "Quantifying Prior Opinion." In J. M. Bernardo, M. H. Degroot, D. V. Lindley, A. F. M. Smith, eds.,

*Bayesian Statistics 2: Proceedings of the Second Valencia International Meeting, September 6/10, 1983*, pp. 133-156. Amsterdam & New York: North-Holland & Valencia University Press, 1985.

With discussion and a reply by Diaconis.

"Quantifying Prior Opinion," pp. 139-149.

"Discussion," pp. 149-154.

"Reply to the Discussion." pp. 154-156.

UCI Sci Lib QA279.5 B39 1985 Bar(with Ronald L. Graham.) "The Radon transform on Z^k_2."

*Pacific Journal of Mathematics*(1985), 118(2):323-345.

UCI Sci Lib QA 1 P18 Drum(with Bradley Efron.) "Testing for Independence in a Two-Way Table: New Interpretations of the Chi-Square Statistic."

*Annals of Statistics*(September 1985), 13(3):845-913.

With discussions and with a reply by the authors.

**Abstract**:"The classical chi-square test for independence in a two-way contingency table often rejects the independence hypothesis at an extremely small significance level, particularly when the sample size is large. This paper proposes some alternative distributions to independence, to help interpret the $\chi^2$ statistic in such situations. The uniform alternative, in which every possible contingency table of the given dimension and sample size receives equal probability, leads to the volume test, as originally suggested in a regression context by H. Hotelling. Exponential family theory is used to generate a class of intermediate alternatives between independence and uniformity, leading to a random effects model for contingency tables."

"Discussion," pp. 875-904.

"Rejoinder," pp. 905-913.

URL:http://links.jstor.org/sici?sici= 0090-5364%28198509%2913%3C845%3ATFIIAT%3E2.0.CO%3B2-W

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UCI Sci Lib HA 1 A83 Drum"Theories of Data Analysis: From Magical Thinking Through Classical Statistics." In David C. Hoaglin, Frederick Mosteller, and John W. Tukey, eds.,

*Exploring Data Tables, Trends and Shapes*, pp. 1-36. Wiley Series in Probability and Mathematical Statistics. Applied Probability and Statistics. New York: Wiley, 1985.

UCI Sci Lib QA276 E97 1985 Bar

(with Eduardo Engel.) "Comment."

*Statistical Science*(May 1986), 1(2):171-174.

Commentary on I.J. Good's "Some Statistical Applications of Poisson's Work."

URL:http://links.jstor.org/sici?sici= 0883-4237%28198605%291%3C171%3A%5BSAOPW%3E2.0.CO%3B2-9

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UCI Sci Lib QA 276 A1 S73 Drum"A Conversation with Persi Diaconis."

*Statistical Science*(August 1986), 1(3):319-334.

Interview with Morris H. DeGroot.

UCI Sci Lib QA 276 A1 S73 Drum(with David Freedman.) "An Elementary Proof of Stirling's Formula."

*American Mathematical Monthly*(February 1986), 93(2):123-125.

UCI Sci Lib QA 1 A515 Bar(with David Freedman.) "On Inconsistent Bayes Estimates of Location."

*Annals of Statistics*(March 1986), 14(1):68-87.

**Abstract**: "In some relatively natural settings, Bayes estimates of location are shown to be inconsistent."

UCI Sci Lib HA 1 A83 Drum(with Mehrdad Shahshahani.) "On Square Roots of the Uniform Distribution on Compact Groups."

*Proceedings of the American Mathematical Society*(October 1986), 98(2):341-348.

**Abstract**: "Let $G$ be a compact separable topological group. When does there exist a probability $P$ such that $P \ast P = U$, where $U$ is Haar measure and $P \neq U$? We show that such square roots exist if and only if $G$ is not abelian, nor the product of the quaternions and a product of two element groups. In the course of proving this we classify compact groups with the property that every closed subgroup is normal."

URL:http://links.jstor.org/sici?sici= 0002-9939%28198610%2998%3C341%3AOSROTU%3E2.0.CO%3B2-F

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UCI Sci Lib QA 1 A521 Drum(with David Freedman.) "On the Consistency of Bayes Estimates."

*Annals of Statistics*(March 1986), 14(1):1-67.

With a discussion a rejoinder by the authors.

"Discussion," pp. 26-63.

"Rejoinder," pp. 63-67.

**Abstract**: "We discuss frequency properties of Bayes rules, paying special attention to consistency. Some new and fairly natural counterexamples are given, involving nonparametric estimates of location. Even the Dirichlet prior can lead to inconsistent estimates if used too aggressively. Finally, we discuss reasons for Bayesians to be interested in frequency properties of Bayes rules. As a part of the discussion we give a subjective equivalent to consistency and compute the derivative of the map taking priors to posteriors."

URL:http://links.jstor.org/sici?sici= 0090-5364%28198603%2914%3C1%3AOTCOBE%3E2.0.CO%3B2-S

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UCI Sci Lib HA 1 A83 Drum(with Mehrdad Shahshahani.) "Products of Random Matrices and Computer Image Generation." In Joel E. Cohen, Harry Kesten, and Charles M. Newman, eds.,

*Random Matrices and their Applications: Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held June 17-23, 1984, with support from the National Science Foundation*, pp. 173-182. Contemporary Mathematics, 50. Providence, RI: American Mathematical Society, 1986.

The AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Random Matrices and Their Applications was held at Bowdoin College, Brunswick, Maine.

UCI Sci Lib QA188 A46 1984 Bar(with Mehrdad Shahshahani.) "Products of Random Matrices as They Arise in the Study of Random Walks on Groups." In Joel E. Cohen, Harry Kesten, and Charles M. Newman, eds.,

*Random Matrices and their Applications: Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held June 17-23, 1984, with support from the National Science Foundation*, pp. 183-195. Contemporary Mathematics, 50. Providence, RI: American Mathematical Society, 1986.

UCI Sci Lib QA188 A46 1984 Bar(with David Aldous.) "Shuffling Cards and Stopping Times."

*American Mathematical Monthly*(May 1986), 93(5):333-348.

URL:http://links.jstor.org/sici?sici= 0002-9890%28198605%2993%3C333%3ASCAST%3E2.0.CO%3B2-N

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UCI Sci Lib QA 1 A515 Drum(with Sandy L. Zabell.) "Some Alternatives to Bayes's Rule." In Bernard Grofman and Guillermo Owen, eds.,

*Information Pooling and Group Decision Making: Proceedings of the Second University of California, Irvine Conference on Political Economy*, pp. 25-38. Decision Research, 2. Greenwich, Conn.: JAI Press, 1986.

UCI Main Lib HB143.7 U55 1983

"Application of the Method of Moments in Probability and Statistics." In Henry J. Landau, ed.,

*Moments in Mathematics*, pp. 125-142. Proceedings of Symposia in Applied Mathematics, 37. AMS Short Course Lecture Notes. Providence, RI: American Mathematical Society, 1987.

Lecture notes prepared for the American Mathematical Society short course held in San Antonio, Texas, January 20-22, 1987.

UCI Sci Lib QA432 M59 1987 Bar"Discussion: What is an Analysis of Variance?"

*Annals of Statistics*(September 1987), 15(3):917-921.

Comments on T. P. Speed's "What is Analysis of Variance?" pp. 885-910.

URL:http://links.jstor.org/sici?sici= 0090-5364%28198709%2915%3C917%3ADWIAAO%3E2.0.CO%3B2-Y

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UCI Main Lib HA 1 A83

UCI Sci Lib HA 1 A83 Drum(with David Freedman.) "A Dozen de Finetti-style Results in Search of a Theory."

*Annales de l'Institut Henri Poincaré. Probabilités et Statistiques*(1987), 23(2)Supplement:397-423.

Special issue on "Paul Lévy."(with M. E. Bock, F. W. Huffer and M. D. Perlman.) "Inequalities for Linear Combinations of Gamma Random Variables."

*Canadian Journal of Statistics*(December 1987), 15(4):387-395.

UCI Main Lib HA 1 C4"Projection Pursuit for Discrete Data."

*Scandinavian Journal of Statistics*(1987).(with Bradley Efron.) "Probabilistic-Geometric Theorems Arising from the Analysis of Contingency Tables." In Alan E. Gelfand, ed.,

*Contributions to the Theory and Application of Statistics: A Volume in Honor of Herbert Solomon*, pp. 103-125. Boston: Academic Press, 1987.

UCI Sci Lib QA276.16 C567 1987 Bar(with F.R.K. Chung and R.L. Graham.) "Random Walks Arising in Random Number Generation."

*Annals of Probability*(July 1987), 15(3):1148-1165.

**Abstract**: "Random number generators often work by recursively computing $X_{n+1} \equiv aX_n + b (\mod p)$. Various schemes exist for combining these random number generators. In one scheme, $a$ and $b$ are themselves chosen each time from another generator. Assuming that this second source is truly random, we investigate how long it takes for $X_n$ to become random. For example, if $a = 1$ and $b = 0, 1$, or $-1$ each with probability $\frac{1}{3}$, then $cp^2$ steps are required to achieve randomness. On the other hand, if $a = 2$ and $b = 0, 1$, or $-1$, each with probability $\frac{1}{3}$, then $c \log p \log\log p$ steps always suffice to guarantee randomness, and for infinitely many $p$, are necessary as well, although, in fact, for almost all odd $p, 1.02 \log_2 p$ steps are enough."

URL:http://links.jstor.org/sici?sici= 0091-1798%28198707%2915%3C1148%3ARWAIRN%3E2.0.CO%3B2-E

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UCI Main Lib HA 1 A82

UCI Sci Lib HA 1 A82 Drum(with David Aldous.) "Strong Uniform Times and Finite Random Walks."

*Advances in Applied Mathematics*(March 1987), 8(1):69-97.

UCI Sci Lib QA 1 A188 Drum(with Mehrdad Shahshahani.) "The Subgroup Algorithm for Generating Uniform Random Variables."

*Probability in the Engineering and Information Sciences*(1987), 1:15-32.(with Mehrdad Shahshahani.) "Time to Reach Stationarity in the Bernoulli-Laplace Diffusion Model."

*SIAM Journal on Mathematical Analysis*(January 1987), 18(1):208-218.

**Abstract**: "Consider two urns, the left containing n red balls, the right containing n black balls. At each time a ball is chosen at random in each urn and the two balls are switched. The authors show it takes /sup 1///sub 4/n log n+cn switches to mix up the urns. The argument involves lifting the urn model to a random walk on the symmetric group and using the Fourier transform (which in turn involves the dual Hahn polynomials). The methods apply to other 'nearest neighbor' walks on two-point homogeneous spaces.

UCI Sci Lib QA 1 S76 Drum

"Applications of Noncommutative Fourier Analysis to Probability Problems." In P.L. Hennequin, ed.,

*Ecolé d'Été de Probabilités de Saint-Flour, XV-XVII, 1985-87*, pp. 51-100. Lecture Notes in Mathematics, 1362. Berlin & New York: Springer, 1988."Bayesian Numerical Analysis." In Shanti S. Gupta and James O. Berger, eds.,

*Statistical Decision Theory and Related Topics IV*, Vol. 1, pp. 163-175. New York: Springer, 1988.

Papers from the Fourth Purdue Symposium on Statistical Decision Theory and Related Topics, held at Purdue University, West Lafayette, Ind., June 15-20, 1986.

UCI Sci Lib QA279.4 S744 1988 Bar*(with David Freedman.) "Conditional Limit Theorems for Exponential Families and Finite Versions of de Finetti's Theorem."

*Journal of Theoretical Probability*(1988), 1(4):381-410.*

*Group Representations in Probability and Statistics*. Institute of Mathematical Statistics, Lecture Notes - Monograph Series, 11. Hayward, Ca.: Institute of Mathematical Statistics, 1988.

UCI Sci Lib QA171 D458 1988 Bar(with Laurel Smith.) "Honest Bernoulli Excursions."

*Journal of Applied Probability*(September 1988), 25(3):464-477.

UCI Sci Lib QA 276 J65 Drum(with Anthony D'Aristotile and David Freedman.) "On Merging of Probabilities."

*Sankhya, Series A*(1988), 50(3):363-380.*"Recent Progress on de Finetti's Notions of Exchangeability." In J. M. Bernardo, et al., eds.,

*Bayesian Statistics 3: Proceedings of the Third Valencia International Meeting, June 1-5, 1987*, pp. 111-125. Oxford Science Publications. Oxford: Clarendon Press; New York: Oxford University Press, 1988.

Third Valencia International Meeting on Bayesian Statistics, June 1-5, 1987, Altea, Spain.

UCI Sci Lib QA279.5 B393 1988 Bar(with Sandy L. Zabell.) "Updating Subjective Probability." In David E. Bell, Howard Raiffa, and Amos Tversky, eds.,

*Decision Making : Descriptive, Normative, and Prescriptive Interactions*, pp. 266-283. Cambridge & New York: Cambridge University Press, 1988.

Reprint of "Updating Subjective Probability" (1982).

UCI Sci Lib T57.95 D394 1988 Bar

(with Joseph B. Keller.) "Fair Dice."

*American Mathematical Monthly*(April 1989), 96(4):337-339.

URL:http://links.jstor.org/sici?sici= 0002-9890%28198904%2996%3C337%3AFD%3E2.0.CO%3B2-%23

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Sci Lib QA 1 A515 Drum(with Ronald L. Graham.) "Foreword" to Martin Gardner's

*Mathematical Magic Show: More Puzzles, Games, Diversions, Illusions, and other Mathematical Sleight-of-mind from "Scientific American"*, pp. 9-10. Washington, D.C. : Mathematical Association of America, 1989, 1990.*"A Generalization of Spectral Analysis with Application to Ranked Data."

*Annals of Statistics*(September 1989), 17(3):949-979.

The 1987 Wald Memorial Lectures.

**Abstract**:"This article illustrates basic statistical techniques for studying coincidences. These include data-gathering methods (informal anecdotes, case studies, observational studies, and experiments) and methods of analysis (exploratory and confirmatory data analysis, special analytic techniques, and probabilistic modeling, both general and special purpose). We develop a version of the birthday problem general enough to include dependence, inhomogeneity, and almost and multiple matches. We review Fisher's techniques for giving partial credit for close matches. We develop a model for studying coincidences involving newly learned words. Once we set aside coincidences having apparent causes, four principles account for large numbers of remaining coincidences: hidden cause; psychology, including memory and perception; multiplicity of endpoints, including the counting of "close" or nearly alike events as if they were identical; and the law of truly large numbers, which says that when enormous numbers of events and people and their interactions cumulate over time, almost any outrageous event is bound to occur. These sources account for much of the force of synchronicity."

URL:http://links.jstor.org/sici?sici= 0090-5364%28198909%2917%3C949%3AAGOSAW%3E2.0.CO%3B2-J

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Sci Lib HA 1 A83 Drum*(with Frederick Mosteller.) "Methods for Studying Coincidences."

*Journal of the American Statistical Association*(December 1989), 84(408):853-861.

URL:http://links.jstor.org/sici?sici= 0162-1459%28198912%2984%3C853%3AMFSC%3E2.0.CO%3B2-L

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Main Lib HA 1 A6

(with Ronald L. Graham and J. A. Morrison.) "Asymptotic Analysis of a Random Walk on a Hypercube with Many Dimensions."

*Random Structures & Algorithms*(1990), 1(1):51-72.

URL:http://uclibs.org/PID/810

Text(with Michael D. Perlman.) "Bounds for Tail Probabilities of Weighted Sums of Independent Gamma Random Variables." In Henry W. Block, Allan R. Sampson, and Thomas H. Savits, eds.,

*Topics in Statistical Dependence*, pp. 147-166. Lecture Notes-Monograph Series, 16. Hayward Ca.: Institute of Mathematical Statistics, 1990.

Proceedings of the Symposium on Dependence in Probability and Statistics held August 1-5, 1987 at Hidden Valley Conference Center, Pa.

UCI Sci Lib QA278 T69 1990 Bar(with David Freedman.) "Cauchy's Equation and de Finetti's Theorem."

*Scandinavian Journal of Statistics*(1990), 17(3):235-249.(with Erich Lehmann.) "Contributions to Mathematical Statistics." In S.E. Fienberg, D.C. Hoaglin, W. H. Kruskal, and J. M. Tanur, eds.,

*A Statistical Model: Frederick Mosteller's Contributions to Statistics, Science, and Public Policy*, pp. 59-80. Springer Series in Statistics. New York: Springer, 1990.

UCI Sci Lib QA276.16 S824 1990 Bar(with Daniel Rockmore.) "Efficient Computation of the Fourier Transform on Finite Groups."

*Journal of the American Mathematical Society*(April 1990), 3(2):297-332.

**Abstract**: et $G$ be a finite group, $f: G \rightarrow C$ a function, and $\rho$ an irreducible representation of $G$. The Fourier transform is defined as $\hat f(\rho) = \sum_{s \epsilon G}f(s) \rho(s)$. Direct computation for all irreducible representation involves order $\mid G \mid^2$ operations. We derive fast algorithms and develop them for the symmetric group $S_n$. There, $(n!)^2$ is reduced to $n(n!)^{a/2}$, where $\alpha$ is the constant for matrix multiplication (2.38 as of this writing). Variations of the algorithm allow efficient computation for "small" representations. A practical version of the algorithm is given on $S_n$. Numerical evidence is presented to show a speedup by a factor of 100 for $n = 9$."

URL:http://links.jstor.org/sici?sici= 0894-0347%28199004%293%3C297%3AECOTFT%3E2.0.CO%3B2-H

Text(with James Allen Fill.) "Examples for the Theory of Strong Stationary Duality with Countable State Spaces."

*Probability in the Engineering and Information Sciences*(1990), 4:157-180."Finite Fourier Methods: Access to Tools." In Bela Bollobos, ed.,

*Probabilistic Combinatorics and Its Applications*, pp. 171-194. Proceedings of Symposia in Applied Mathematics. 44. AMS Short Course Lecture Notes. Providence, RI: American Mathematical Society, 1990.

Lecture notes prepared for the American Mathematical Society short course in Probabilistic Combinatorics and Its Applications held in San Francisco, California, January 14-15, 1991.

UCI Sci Lib QA273.45 P76 1991 Bar(with David Freedman.) "On the Uniform Consistency of Bayes Estimates for Multinomial Probabilities."

*Annals of Statistics*(September 1990), 18(3):1317-1327.

UCI Sci Lib HA 1 A83 Drum"Patterned Matrices." In Charles R. Johnson, ed.,

*Matrix Theory and Applications*(1990), pp. 37-58. Proceedings of Symposia in Applied Mathematics, 40. AMS Short Course Lecture Notes. Providence, RI: American Mathematical Society, 1990.

Lecture notes prepared for the American Mathematical Society short course in Matrix Theory and Applications held in Phoenix, Arizona, January 10-11, 1989.

UCI Sci Lib QA188 M395 1990 Bar*(with James Allen Fill.) "Strong Stationary Times via a New Form of Duality."

*Annals of Probability*(October 1990), 18(4):1483-1522.

**Abstract**:"A strong stationary time for a Markov chain $(X_n)$ is a stopping time $T$ for which $X_T$ is stationary and independent of $T$. Such times yield sharp bounds on certain measures of nonstationarity for $X$ at fixed finite times $n$. We construct an absorbing dual Markov chain with absorption time a strong stationary time for $X$. We relate our dual to a notion of duality used in the study of interacting particle systems. For birth and death chains, our dual is again birth and death and permits a stochastic interpretation of the eigenvalues of the transition matrix for $X$. The duality approach unifies and extends the analysis of previous constructions and provides several new examples."

URL:http://links.jstor.org/sici?sici= 0091-1798%28199010%2918%3C1483%3ASSTVAN%3E2.0.CO%3B2-A

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UCI Sci Lib HA 1 A82 Drum

"Applications of Group Representations to Statistical Problems." In Ichiro Satake, ed.,

*Proceedings of the International Congress of Mathematicians, August 21-29, 1990, Kyoto, Japan*, Vol. II, pp. 1037-1048. Tokyo & New York: Springer, 1991.(with Sandy L. Zabell.) "Closed Form Summation for Classical Distributions: Variations on a Theme of de Moivre."

*Statistical Science*(August 1991), 6(3):284-302.

**Abstract**:"De Moivre gave a simple closed form expression for the mean absolute deviation of the binomial distribution. Later authors showed that similar closed form expressions hold for many of the other classical families. We review the history of these identities and extend them to obtain summation formulas for the expectations of all polynomials orthogonal to the constants."

URL:http://links.jstor.org/sici?sici= 0883-4237%28199108%296%3C284%3ACFSFCD%3E2.0.CO%3B2-R

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UCI Sci Lib QA 276 A1 S73 Drum"Comment."

*Statistical Science*(November 1991), 6(4):386.

Commentary on Jessica Utts' "Replication and Meta-Analysis in Parapsychology," pp. 363-378.

URL:http://links.jstor.org/sici?sici= 0883-4237%28199111%296%3C386%3A%5BAMIPC%3E2.0.CO%3B2-6

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UCI Sci Lib QA 276 A1 S73 Drum*(with Daniel W. Stroock.) "Geometric Bounds for Eigenvalues of Markov Chains."

*Annals of Applied Probability*(February 1991), 1(1):36-61.

**Abstract**:"We develop bounds for the second largest eigenvalue and spectral gap of a reversible Markov chain. The bounds depend on geometric quantities such as the maximum degree, diameter and covering number of associated graphs. The bounds compare well with exact answers for a variety of simple chains and seem better than bounds derived through Cheeger-like inequalities. They offer improved rates of convergence for the random walk associated to approximate computation of the permanent."

URL:http://links.jstor.org/sici?sici= 1050-5164%28199102%291%3C36%3AGBFEOM%3E2.0.CO%3B2-G

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UCI Main Lib HA 1 A82

UCI Sci Lib HA 1 A82 Drum(with William Fulton.) "A Growth Model, a Game, an Algebra, Lagrange Inversion, and Characteristic Classes."

*Rendiconti del Seminario matematico della Universita di Padova*(1991), 49(1):95-119.

UCI Sci Lib QA 1 P125"The Mathematics of Randomness: A Conversation with Persi Diaconis." In Peter Costa, ed.,

*Q & A: Conversations with Harvard Scholars*, pp. 83-90. Cambridge, Mass.: Harvard University, Office of News and Public Affairs, 1991.

UCI Main Lib LD2137 Q14 1991

*(with Ronald L. Graham.) "An Affine Walk on the Hypercube."

*Journal of Computational and Applied Mathematics*(1992), 41(1-2):215-235.

Asymptotic methods in analysis and combinatorics.(with James Allen Fill and Jim Pitman.) "Analysis of Top to Random Shuffles."

*Combinatorics, Probability & Computing*(1992), 1(2):135-155.(with Ron Graham.) "Binomial Coefficient Codes over GF(2)."

*Discrete Mathematics*(September 1, 1992), 106-107:181-188.

A collection of contributions in honour of Jack van Lint.

UCI Sci Lib QA 1 D52 Drum"Comparison Techniques for Card Shuffling." [Abstract]

*Advances in Applied Probability*(December 1992), 24(4):766.

UCI Sci Lib QA 273 A34 Drum(with Phil Hanlon.) "Eigen-analysis for Some Examples of the Metropolis Algorithm." In Donald St. P. Richards, ed.,

*Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications*, pp. 99-117. Proceedings of an AMS Special Session held March 22-23, 1991, in Tampa, Florida. Contemporary Mathematics, 138. Providence, RI: American Mathematical Society, 1992.

UCI Sci Lib QA353.H9 H97 1992 Bar(with M.L. Eaton and S. L. Lauritzen.) "Finite de Finetti Theorems in Linear Modules and Multivariate Analysis."

*Scandinavian Journal of Statistics*(1992), 19(4):289-315.(with David Freedman.) "Non Parametric Binary Bayesian Regression."

*Festschrift for Raj Bahaduhr*. Indian Statistical Institute, 1992."Sufficiency as Statistical Symmetry." In Felix E. Browder, ed.,

*Mathematics into the Twenty First Century: 1988 Centennial Symposium, August 8-12*, pp. 15-26. American Mathematical Society Centennial Publications, 2. Providence, RI: American Mathematical Society, 1992.*(with Dave Bayer.) "Trailing the Dovetail Shuffle to its Lair."

*Annals of Applied Probability*(May 1992), 2(2):294-313.

**Abstract**:"We analyze the most commonly used method for shuffling cards. The main result is a simple expression for the chance of any arrangement after any number of shuffles. This is used to give sharp bounds on the approach to randomness: $\frac{3}{2} \log_2 n + \theta$ shuffles are necessary and sufficient to mix up $n$ cards. Key ingredients are the analysis of a card trick and the determination of the idempotents of a natural commutative subalgebra in the symmetric group algebra."

URL:http://links.jstor.org/sici?sici= 1050-5164%28199205%292%3C294%3ATTDSTI%3E2.0.CO%3B2-E

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UCI Sci Lib QA 273 A1 A56 Drum(with Fan Chung and Ron Graham.) "Universal Cycles for Combinatorial Structures."

*Discrete Mathematics*(December 11, 1992), 110(1-3):43-59.

URL: http://uclibs.org/PID/2042 Online

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UCI Sci Lib QA 1 D52 Drum

*(with Laurent Saloff-Coste.) "Comparison Techniques for Random Walk on Finite Groups."

*Annals of Probability*(October 1993), 21(4):2131-2156.

**Abstract**:"We develop techniques for bounding the rate of convergence of a symmetric random walk on a finite group to the uniform distribution. The techniques gives bounds on the second largest (and other) eigenvalues in terms of the eigenvalues of a comparison chain with known eigenvalues. The techniques yield sharp rates for a host of previously intractable problems on the symmetric group."

URL:http://links.jstor.org/sici?sici= 0091-1798%28199310%2921%3C2131%3ACTFRWO%3E2.0.CO%3B2-L

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UCI Sci Lib HA 1 A82 Drum(with Laurent Saloff-Coste.) "Comparison Theorems for Reversible Markov Chains."

*Annals of Applied Probability*(August 1993), 3(3):696-730.

**Abstract**:"We introduce geometric comparison inequalities that give bounds on the eigenvalues of a reversible Markov chain in terms of the eigenvalues of a second chain. The bounds are applied to get sharp results for the exclusion process."

URL:http://links.jstor.org/sici?sici= 1050-5164%28199308%293%3C696%3ACTFRMC%3E2.0.CO%3B2-9

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UCI Sci Lib QA 273 A1 A56(with Jeffrey S. Rosenthal.) "Discussion on the Meeting on the Gibbs Sampler and Other Chain Monte Carlo Methods."

*Journal of the Royal Statistical Society Series B (Methodological)*(1993), 55(1):53-71.

URL: http://uclibs.org/PID/947

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UCI Main Lib HA 1 R8(with Daniel Rockmore.) "Efficient Computation of Isotypic Projections for the Symmetric Group." In Larry Finkelstein and William M. Kantor, eds.,

*Groups and Computation: Workshop on Groups and Computation, October 7-10, 1991*, pp. 87-104. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 11. Providence, RI: American Mathematical Society, 1993.

Papers from the workshop held at DIMACS, Rutgers University, Oct. 7-10, 1991."Foreword." In Michael A. Fligner and Joseph A. Verducci, eds.,

*Probability Models and Statistical Analyses for Ranking Data*, pp. xvii-xxiii. Springer Lecture Notes in Statistics, 80. New York: Springer, 1993.

UCI Sci Lib QA276 A1 L42 v.80 Bar(with David Freedman.) "Nonparametric Binary Regression: A Bayesian Approach."

*Annals of Statistics*(December 1993), 21(4):2108-2137.

Commutative Algebra and Algebraic Geometry, II (Italian). Turin, 1990.

UCI Sci Lib HA 1 A83 Drum

(with Susan Holmes.) "Gray Codes for Randomization Procedures."

*Statistics and Computing*(December 1994), 4(4):287-302.

**Abstract**: "Introduces a simple combinatorial scheme for systematically running through a complete enumeration of sample reuse procedures such as the bootstrap, Hartigan's (1969) subsets, and various permutation tests. The scheme is based on Gray codes which give 'tours' through various spaces, changing only one or two points at a time. We use updating algorithms to avoid recomputing statistics and achieve substantial speedups. Several practical examples and computer codes are given."(with Laurent Saloff-Coste.) "Moderate Growth and Random Walk on Finite Groups."

*Geometric and Functional Analysis*(1994), 4(1):1-36.(with Mehrdad Shahshahani.) "On the Eigenvalues of Random Matrices."

*Journal of Applied Probability*(1994), Special issue, 31A:49-62.

UCI Sci Lib QA 276 J65(with Laurel Beckett.) "Spectral Analysis for Discrete Longitudinal Data."

*Advances in Mathematics*(January 1994), 103(1):107-128.

UCI Sci Lib QA 1 A325 Drum

(with Laurent Saloff-Coste.) "An Application of Harnack Inequalities to Random Walk on Nilpotent Quotients."

*Journal of Fourier Analysis Applications*(1995), Kahane Special Issue:189-207.

Proceedings of the Conference in Honor of Jean-Pierre Kahane, held in Orsay, 1993.*(with D. Aldous.) "Hammersley's Interacting Particle Process and Longest Increasing Subsequences."

*Probability Theory and Related Fields*(October 1995), 103(2):199-213.

**Abstract**: "In a famous paper Hammersley (1970) investigated the length $L_n$ of the longest increasing subsequence of a random $n$-permutation. Implicit in that paper is a certain one-dimensional continuous-space interacting particle process. By studying a hydrodynamical limit for Hammersley's process we show by fairly ``soft" arguments that $\lim n^{-1/2} EL_n = 2$. This is a known result, but previous proofs (Vershik - Kerov (1977); Logan - Shepp (1977)) relied on hard analysis of combinatorial asymptotics.

UCI Sci Lib QA 273 Z4 Drum(with David Freedman.) "Nonparametric Binary Regression with Random Covariates."

*Probability and Mathematical Statistics*(1995), 15:243-273.

Dedicated to the memory of Jerzy Neyman.*(with Anil Gangolli.) "Rectangular Arrays with Fixed Margins." In David Aldous, Persi Diaconis, Joel Spencer, and J. Michael Steele, eds.,

*Discrete Probability and Algorithms*, pp. 15-41. The IMA volumes in Mathematics and its Applications, 72. New York: Springer, 1995.

Papers from two workshops held at the University of Minnesota, in Fall 1993.

**Abstract**: "In a variety of combinatorial and statistical applications, one needs to know the number of rectangular arrays of nonnegative integers with given row and column sums. The combinatorial problems include counting magic squares, enumerating permutations by descent patterns and a variety of problems in representation theory. The statistical problems involve goodness of fit tests for contingency tables. We review these problems along with the available techniques for exact and approximate solution."

UCI Sci Lib QA273 A1 D57 1995 Bar(with Michael McGrath and Jim Pitman.) "Riffle Shuffles, Cycles, and Descents."

*Combinatorica*(1995), 15(1):11-29.

UCI Sci Lib QA 164 C672 Drum(with Susan Holmes.) "Three Examples of the Markov Chain Monte Carlo Method: At the Interface between Statistical Computing, Computer Science, and Statistical Mechanics." In David Aldous, Persi Diaconis, Joel Spencer, and J. Michael Steele, eds.,

*Discrete Probability and Algorithms*, pp. 43-56. The Institute for Mathematics and its Applications Volumes in Mathematics and its Applications, 72. New York: Springer, 1995.

Papers from two workshops held at the University of Minnesota, in Fall 1993.

**Abstract**:"The revival of interest in Markov chains is based in part on their recent applicability in solving real world problems and in part on their ability to resolve issues in theoretical computer science. This paper presents three examples which are used to illustrate both parts: a Markov chain algorithm for estimating the tails of the bootstrap also illustrates the Jerrum-Sinclair theory of approximate counting. The Geyer-Thompson work on Monte-Carlo evaluation of maximum likelihood is compared with work on evaluation of the partition function. Finally, work of Diaconis-Sturmfels on conditional inference is complemented by the work of theoretical computer scientists on approximate computation of the volume of convex polyhedra."

UCI Sci Lib QA273A1 D57 1995 Bar(with Laurent Saloff-Coste.) "What Do We Know About the Metropolis Algorithm?"

*Annual ACM Symposium on Theory of Computing*(1995), 27:112-129.

Proceedings of the Twenty-Seventh Annual ACM Symposium on the Theory of Computing, Proceedings of ACM Symposium on Theory of Computing (STOC'95), Las Vegas, NV, USA, 29 May-1 June 1995.), pp. 112-129. New York: USA: ACM, 1995.

(with Susan Holmes.) "Are There Still Things to Do in Bayesian Statistics?"

*Erkenntnis*(November 1996), 45(2-3):145-158.

Proceedings of the Conference on "Probability, Dynamics and Causality: Essays in Honour of Richard C. Jeffrey," held in Luino, June 15-17, 1995.

**Abstract**: "From the outside, Bayesian statistics may seem like a closed little corner of probability. Once a prior is specified you compute! From the inside the field is filled with problems, conceptual and otherwise. This paper surveys some of what remains to be done and gives examples of the work in progress via a Bayesian peek into Feller Volume I."

UCI Main Lib B 1 J79*"The Cutoff Phenomenon in Finite Markov Chains."

*Proceedings of National Academy of Sciences of the United States of America*(February 20, 1996), 93(4):1659-1664.

URL:http://links.jstor.org/sici?sici= 0027-8424%2819960220%2993%3C1659%3ATCPIFM%3E2.0.CO%3B2-K

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UCI Sci Lib Q 11 N26 Drum(with Laurent Saloff-Coste.) "Logarithmic Sobolev Inequalities for Finite Markov Chains."

*Annals of Applied Probability*(August 1996), 6(3):695-750.

UCI Sci Lib QA 273 A1 A56 Drum*(with Susan Holmes, Svante Janson, Steven P. Lalley and Robin Pemantle.) "Metrics on Compositions and Coincidences Among Renewal Sequences." In David Aldous and Robin Pemantle, eds.,

*Random Discrete Structures*, pp. 81-101. The Institute for Mathematics and its Applications Volumes in Mathematics and its Applications, 76. New York: Springer, 1996.

Based on the proceedings of a workshop that was an integral part of the 1993-94 IMA program, held in Minneapolis, Minn., on "Emerging Applications of Probability."

UCI Sci Lib QA273.45 R36 1996 Bar(with Laurent Saloff-Coste.) "Nash Inequaltites for Finite Markov Chains."

*Journal of Theoretical Probability*(April 1996), 9(2):459-510.(with David Blackwell.) "A Non-Measurable Tail Set." In T. S. Ferguson, L.S. Shapley, and J.B. MacQueen, eds.,

*Statistics, Probability and Game Theory: Papers in Honor of David Blackwell*, pp. 1-5. Lecture Notes-Monograph Series, 30. Hayward, Calif.: Institute of Mathematical Statistics, 1996.

UCI Sci Lib QA276 S7995 1996 Bar(with Ronald L. Graham and Bernd Sturmfels.) "Primitive Partition Identities." In D. Miklos, Vera T. Sos, and T. Szoni, eds.,

*Combinatorics, Paul Erdös is Eighty*, pp. 173-192. Bolyai Society Mathematical Studies, Vol. 2, Budapest: Janos Bolyai Mathematical Society, 1996.

Papers from an international combinatorics colloquium held in Keszthely, Hungary, July 19-24, 1993, in honor of Paul Erdös' eightieth birthday.(with Laurent Saloff-Coste.) "Random Walks on Finite Groups. A Survey of Analytic Techniques." In Herbert Heyer, ed.,

*Probability Measures on Groups and related Structures XI: Proceedings Oberwolfach 1994, 23-29 October 1994*, pp. 44-75. Signapore & River Edge, NJ: World Scientific, 1995.(with J. Kemperman.) "Some New Tools for Dirichlet Priors." In J. Bernardo, et al., eds.,

*Bayesian Statistics, 5: Proceedings of the Fifth Valencia International Meeting, June 5-9, 1994*, pp. 97-106. Oxford Science Publications. Oxford: Clarendon Press, 1996; New York: Oxford University Press, 1996.

Fifth Valencia International Meeting on Bayesian Statistics held at the Hotel Melia, Alicante, Spain.(with L. Saloff-Coste.) "Walks on Generating Sets of Abelian Groups."

*Probability Theory and Related Fields*(July 1996), 105(3):393-421.

UCI Sci Lib QA 273 Z4 Drum

(with David Freedman.) "Consistency of Bayes Estimates for Non-parametric Regression: A Review." In David Pollard, Erik Torgersen, and Grace L. Yang, eds.,

*Festschrift for Lucien LeCam: Research Papers in Probability and Statistics*, pp. 157-165. New York: Springer, 1997.

(with Bernd Sturmfels.) "Algebraic Algorithms for Sampling from Conditional Distributions."

*Annals of Statistics*(February 1998), 26(1):363-397.

UCI Sci Lib HA 1 A83 Drum*(with David Freedman.) "Consistency of Bayes Estimates for Nonparametric Regression: Normal Theory."

*Bernoulli*(December 1998), 4(4):411-444."From Shuffling Cards to Walking Around the Building: An Introduction to Markov Chain Theory." In Gerd Fischer and Ulf Rehmann, eds.,

*Proceedings of the International Congress of Mathematicians, August 18-27, 1998, Berlin*, Volume I, Plenary Lectures, pp. 187-204. Bielefeld, Germany: Deutscher Mathematiker-Vereinigung, 1998.(with David Eisenbud and Bernd Sturmfels.) "Lattice Walks and Primary Decomposition." In Bruce E. Sagan and Richard P. Stanley, eds.,

*Mathematical Essays in Honor of Gian-Carlo Rota*, pp. 173-194. Progress in Mathematics, 161, Boston: Birkhäuser, 1998.

UCI Sci Lib QA7 M34445 1998 Bar*(with Susan P. Holmes.) "Matchings and Phylogenetic Trees."

*Proceedings of the National Academy of Sciences of the United States of America*(December 8, 1998), 95(25):14600-14602.

**Abstract**: "This paper presents a natural coordinate system for phylogenetic trees using a correspondence with the set of perfect matchings in the complete graph. This correspondence produces a distance between phylogenetic trees, and a way of enumerating all trees in a minimal step order. It is useful in randomized algorithms because it enables moves on the space of trees that make random optimization strategies "mix" quickly. It also promises a generalization to intermediary trees when data are not decisive as to their choice of tree, and a new way of constructing Bayesian priors on tree space."

URL:http://links.jstor.org/sici?sici= 0027-8424%2819981208%2995%3C14600%3AMAPT%3E2.0.CO%3B2-S

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UCI Sci Lib Q 11 N26 Drum*"A Place for Philosophy? The Rise of Modeling in Statistical Science."

*Quarterly of Applied Mathematics*(December 1998), 56(4):797-805.

Special Issue: Current and Future Challenges in the Applications of Mathematics.

UCI Sci Lib QA 1 Q25 Drum(with Kenneth S. Brown.) "Random Walks and Hyperplane Arrangements."

*Annals of Probability*(October 1998), 26(4):1813-1854.

UCI Sci Lib HA 1 A82 Drum(with Laurent Saloff-Coste.) "Walks on Generating Sets of Groups."

*Inventiones Mathematicae*(November 1998), 134(2):251-299.

UCI Sci Lib QA 1 I884 Drum(with Laurent Saloff-Coste.) "What Do We Know About the Metropolis Algorithm?"

*Journal of Computer and System Sciences*(August 1998), 57(1):20-36.

**Abstract**: "The Metropolis algorithm is a widely used procedure for sampling from a specified distribution on a large finite set. We survey what is rigorously known about running times. This includes work from statistical physics, computer science, probability, and statistics. Some new results (Propositions 6.1-6.5) are given as an illustration of the geometric theory of Markov chains."

27th Annual ACM Syposium on the Theory of Computing (STOC '95), held in Las Vegas, Nevada, May 29-June 1, 1995.

(with Susan P. Holmes.) "Computing With Trees." In Kenneth Berk and Mohsen Pourahmadi, eds.,

*Computing Science and Statistics. Volume 31, Proceedings of the 31st Symposium on the Interface, Schaumburg, Illinois, June 9-12, 1999: Models, Predictions, and Computing*, pp. 414-419. Fairfax Station, VA: Interface Foundation of North America, 1999.(with Ronald L. Graham.) "The Graph of Generating Sets of an Abelian Group."

*Colloquium Mathematicum*(1999), 80(1):31-38.*(with David Freedman.) "Iterated Random Functions."

*SIAM Review*(March 1999), 41(1):45-76.

UCI Sci Lib QA 1 S755 Drum*(with David Aldous.) "Longest Increasing Subsequences: From Patience Sorting to the Baik-Deift-Johansson Theorem."

*Bulletin of the American Mathematical Society*(October 1999), 36(4):413-432.

**Abstract**: "We describe a simple one-person card game,*patience sorting*. Its analysis leads to a broad circle of ideas linking Young tableaux with the longest increasing subsequence of a random permutation via the Schensted correspondence. A recent highlight of this area is the work of Baik-Deift-Johansson which yields limiting probability laws via hard analysis of Toeplitz determinants."

UCI Sci Lib QA 1 A5202 Drum*(with Louis J. Billera and Kenneth S. Brown.) "Random Walks and Plane Arrangements in Three Dimensions."

*American Mathematical Monthly*(June-July 1999), 106(6):502-524.

**Abstract**: "A mathematical formula for the stationary distribution of random walks associated with hyperplane arrangements in three dimensions is presented. The formula is tested on a collection of n planes through the origin in R(super 3) where the intersection of the planes is (0). The cell decomposition induced by an arrangement assumes that given a region C and a vertex v, there is a unique region C' adjacent to v that is closest to C, where C' maintains a distance from C by the minimum number of great circles. The plane arrangements considered in R(super 3) fall under the name line arrangements."

UCI Sci Lib QA 1 A515 DrumReview of Bela Bollobas'

*Modern Graph Theory*.*Journal of the American Statistical Association*(December 2000), 95(452):1377.

UCI Main Lib HA 1 A6Review of Joel E. Cohen, J. H. B. Kemperman, and Gheorghe Zbaganu's

*Comparisons of Stochastic Matrices With Applications in Information Theory, Statistics, Economics, and Population Sciences*.*Journal of the American Statistical Association*(September 1999), 94(447):984.

UCI Main Lib HA 1 A6

(with Susan Holmes and Radford M. Neal.) "Analysis of a Nonreversible Markov Chain Sampler."

*Annals of Applied Probability*(August 2000), 10(3):726-752.

UCI Sci Lib QA 273 A1 A56 Drum(with Arun Ram.) "Analysis of Systematic Scan Metropolis Algorithms Using Iwahori-Hecke Algebra Techniques."

*Michigan Journal of Mathematics*(2000), 48:157-190.

Dedicated to William Fulton on the occasion of his 60th birthday.*(with Laurent Saloff-Coste.) "Bounds for Kac's Master Equation."

*Communications in Mathematical Physics*(February 2000), 209(3):729-755.

**Abstract**: "Mark Kac considered a Markov chain on the n-sphere based on random rotations in randomly chosen coordinate planes. This same walk was used by Hastings (1970) on the orthogonal group. We show that the walk has spectral gap bounded below by c/n/sup 3/. This and curvature information are used to bound the rate of convergence to stationarity."

UCI Sci Lib QC 20 C6 Drum(with Steve N. Evans.) "Immanants and Finite Point Processes."

*Journal of Combinatorial Theory Seies A*(July-August 2000), 91(1-2):305-321.

In memory of Gian-Carlo Rota.

UCI Sci Lib QA 164 J6 DrumReview of Y.R. Guttmann's

*The Concept of Probability in Statistical Physics*.*Journal of the American Statistical Association*(September 2000), 95(451):1009.

UCI Main Lib HA 1 A6

(with Fan Chung and Ronald L. Graham and.) "Combinatorics for the East Model."

*Advances in Applied Mathematics*(July 2001), 27(1):192-206.

UCI Sci Lib QA 1 A188 Drum(with Steve N. Evans.) "Linear Functionals of Eigenvalues of Random Matrices."

*Transactions of the American Mathematical Society*(July 2001), 353(7):2615-2633.

UCI Sci Lib QA 1 A522 Drum*(with Ronald Graham and Susan P. Holmes.) "Statistical Problems Involving Permutations with Restricted Positions." In Mathisca de Gunst, Chris Klaassen and Aad van der Vaart, eds.,

*State of the Art in Probability and Statistics: Festschrift for Willem R. van Zwet*, pp. 195-222. Lecture Notes-Monograph Series, 36. Beachwood, Ohio: Institute of Mathematical Statistics, 2001.

(with Susan Holmes.) "A Bayesian Peek into Feller, Vol. I."

*Statistical Science*. To appear.

Anonymous. "Graphical Illustration of Some Examples Related to the Article 'Iterated Random Functions' by Diaconis and Freedman [

*SIAM Review*(1999), 41(1):45-76.]"*SIAM Review*(March 1999), 41(1):77-82.

UCI Sci Lib QA 1 S755 DrumAccardi, Luigi and Yun Gang Lu. "A Continuous Version of De Finetti's Theorem."

*Annals of Probability*(July 1993), 21(3):1478-1493.

UCI Main Lib HA 1 A82

UCI Sci Lib HA 1 A82 DrumAlsmeyer, Gerrold and Cheng-Der Fuh. "Limit Theorems for Iterated Random Functions by Regenerative Methods."

*Stochastic Processes and their Applications*(November 2001), 96 (1):123-142. InternetBalinski, Michel L. and Svelozar T. Rachev. "Rounding Proportions: Rules of Rounding."

*Numerical Functional Analysis and Optimization*(October-December 1993), 14(5-6):475-501.

UCI Sci Lib QA 297 N86 DrumBar-Lev, Shaul K, Peter Enis, and Gérard Letac. "Sampling Models Which Admit a Given General Exponential Family as a Conjugate Family of Priors."

*Annals of Statistics*(September 1994), 22(3):1555-1586.

UCI Main Lib HA 1 A83

UCI Sci Lib HA 1 A83 DrumBergeron, François and Nantel Bergeron. "Orthogonal Idempotents in the Descent Algebra of $B\sb n$ and Applications."

*Journal of Pure and Applied Algebra*(May 25, 1992), 79(2):109-129.

UCI Sci Lib QA 1 J97 DrumBlaszczyszyn B. and K. Sigman. "Risk and Duality in Multidimensions."

*Stochastic Processes and their Applications*(October 1, 1999), 83 (2):331-356.

InternetCatoni, Olivier. "Simulated Annealing Algorithms and Markov Chains with Rare Transitions." In J. Azema, et al., eds.,

*Séminaire de Probabilités XXXIII*, pp. 69-119. Lecture Notes in Mathematics, 1709. Berlin & New York: Springer, 1999.Ciucu, Mihai. "No-Feedback Card guessing for Dovetail Shuffles."

*Annals of Applied Probability*(November 1998), 8(4):1251-1269.

UCI Sci Lib QA 273 A1 A56 DrumDai, Jack J. "Some Results Concerning the Rates of Convergence of Random Walks on Finite Group."

*Statistics & Probability Letters*(January 15 1998), 37(1):15-17.

TextDinwoodie, Ian H. "The Diaconis-Sturmfels Algorithm and Rules of Succession."

*Bernoulli*(September 1998), 4(3):401-410.Dou, Carl and Martin Hildebrand. "Enumeration and Random Random Walks on Finite Groups."

*Annals of Probability*(April 1996), 24(2):987-1000.

UCI Main Lib HA 1 A82

UCI Sci Lib HA 1 A82 DrumFontes, L.R. G., M. Isopi, and Y. Kohayakawa, and P. Picco. "The Spectral Gap of the REM under Metropolis Dynamics."

*Annals of Applied Probability*(August 1998), 8(3):917-943.

UCI Sci Lib QA 273 A1 A56 DrumFoote Richard, Gagan Mirchandani, Daniel N.Rockmore, Dennis Healy, and Tim Olson. "A Wreath Product Group Approach to Signal and Image Processing: Part I: Multiresolution Analysis."

*IEEE Transactions on Signal Processing*(January 2000), 48(1):102-132.

UCI Sci Lib TK 5981 I2 DrumFulman, Jason. "The Combinatorics of Biased Riffle Shuffles."

*Combinatorica*(1998), 18(2):173-184.

TextFulman Jason and Elizabeth L. Wilmer. "Comparing Eigenvalue Bounds for Markov Chains: When Does Poincaré Beat Cheeger?"

*Annals of Applied Probability*(February 1999), 9(1):1-13.

UCI Sci Lib QA 273 A1 A56 DrumGhosal, Subhashis, Jayanta K. Ghosh, and R.V. Ramamoorthi. "Consistent Semiparametric Bayesian Inference about a Location Parameter."

*Journal of Statistical Planning and Inference*(March 1, 1999), 77(2):181-193.

TextGodbole, Anant P. and Andrew A. Schaffner. "Improved Poisson Approximations for Word Patterns."

*Advances in Applied Probability*(June 1993), 25(2):334-347.

UCI Sci Lib QA 273 A34 DrumGoodman, Leo A. "New Methods for the Analysis of Two-Way Contingency Tables: An Alternative to Diaconis and Efron."

*Annals of Statistics*(September 1985), 13(3):887-893.

UCI Main Lib HA 1 A83

UCI Sci Lib HA 1 A83 DrumGroeneboom, Piet. "Ulam's Problem and Hammersley's Process."

*Annals of Probability*(April 2001), 29(2):683-690.

Online. UCI Sci Lib HA 1 A82 DrumHall, Peter and Ker-Chau Li. "On Almost Linearity of Low-Dimensional Projections from High-Dimensional Data."

*Annals of Statistics*(June 1993), 21(2):867-889.

UCI Main Lib HA 1 A83

UCI Sci Lib HA 1 A83 DrumHanlon, Phil. "A Markov-Chain on the Symmetric Group and Jack Symmetric Functions."

*Discrete Mathematics*(April 2, 1992), 99(1-3):123-140.

UCI Sci Lib QA 1 D52 DrumHildebrand, Martin. "Random Processes of the Form $X\sb {n+1}=a\sb nX\sb n+b\sb n\pmod p$."

*Annals of Probability*(April 1993), 21(2):710-720.

Text

UCI Main Lib HA 1 A82

UCI Sci Lib HA 1 A82 DrumHildebrand, Martin. "Random-Walks Supported on Random Points of $\bold Z/n\bold Z$."

*Probability Theory and Related Fields*(October 1994), 100(2):191-203

UCI Sci Lib QA 273 Z4 DrumHolmes, R. B. and L. K. Jones. "On Uniform Generation of Two-Way Tables with Fixed Margins and the Conditional Volume Test of Diaconis and Efron."

*Annals of Statistics*(February 1996), 24(1):64-68.

UCI Main Lib HA 1 A83

UCI Sci Lib HA 1 A83 DrumHora, Akihito. "The Cut-off Phenomenon for Random Walks on Hamming Graphs with Variable Growth Conditions."

*Research Institute for Mathematical Sciences. Publications*[Kyoto] (December 1997), 33(4):695-710 .Hurlbert, Glenn. "On Universal Cycles for K-Subsets of an N-Set."

*Siam Journal on Discrete Mathematics*(November 1994), 7(4):598-604.

UCI Sci Lib QA 1 S733 Drum Latest in Curr Per RmJames N. and Y. Peres. "Cutpoints and Exchangeable Events for Random Walks."

*Theory of Probability and its Applications*(1997), 41(4):666-677.

UCI Sci Lib QA 273 T413 DrumJarner, S. F. and R. L. Tweedie. "Locally Contracting Iterated Functions and Stability of Markov Chains."

*Journal of Applied Probability*(June 2001), 38(2):494-507.

UCI Sci Lib QA 276 J65 DrumJohansson, Kurt. "On Random Matrices from the Compact Classical Groups."

*Annals of Mathematics*(May 1997), 145(3):519-545.

UCI Sci Lib QA 1 A6 DrumKim, Jeong Han. "On Increasing Subsequences of Random Permutations."

*Journal of Combinatorial Theory Series A*(October 1996), 76(1):148-155.

UCI Sci Lib QA 164 J6 DrumKolonko, M. "A Piecewise Markovian Model for Simulated Annealing with Stochastic Cooling Schedules."

*Journal of Applied Probability*(September 1995), 32(3):649-658.

UCI Sci Lib QA 276 J65 DrumKrug J. and J. Garcia. "Asymmetric Particle Systems on R."

*Journal of Statistical Physics*(April 2000), 99(1-2):31-55.Lalley, Steven P. "Cycle Structure of Riffle Shuffles."

*Annals of Probability*(January 1996), 24(1):49-73.

UCI Main Lib HA 1 A82

UCI Sci Lib HA 1 A82 DrumLavine, Michael. "More Aspects of Pólya Tree Distributions for Statistical Modelling."

*Annals of Statistics*(September 1994), 22(3):1161-1176.

UCI Main Lib HA 1 A83

UCI Sci Lib HA 1 A83 Drum Latest in Curr Per RmLawler, Gregory F., Maury Bramson, and David Griffeath. "Internal Diffusion Limited Aggregation."

*Annals of Probability*(October 1992), 20(4):2117-2140.

UCI Main Lib HA 1 A82

UCI Sci Lib HA 1 A82 DrumLehmann, E. L. "Mentors and Early Collaborators: Reminiscences from the Years 1940-1956 with an Epilogue."

*Statistical Science*(August 1993), 8(3):331-341.

UCI Sci Lib QA 276 A1 S73 DrumLiu, Jun S. "Nonparametric Hierarchical Bayes via Sequential Imputations."

*Annals of Statistics*(June 1996), 24(3):911-930.

UCI Main Lib HA 1 A83

UCI Sci Lib HA 1 A83 DrumMantel, N. and S.W. Greenhouse. "On the Diaconis-Efron Proposal for a Volume Test for Contingency-Tables."

*Statistician*(1986),35(4):455-457.Mizera, Ivan. "On Consistent M-Estimators: Tuning Constants, Unimodality and Breakdown."

*Kybernetika*[Prague] (1994), 30(3):289-300.Pittel, Boris. "On a Likely Shape of the Random Ferrers Diagram."

*Advances in Applied Mathematics*(May 1997), 18(4):432-488.

UCI Sci Lib QA 1 A188 DrumProschan, Michael. "A Note on Blackwell and Hodges (1957) and Diaconis and Graham (1981)."

*Annals of Statistics*(June 1991), 19(2):1106-1108.

A note on D. H. Blackwell and J. L. Hodges, Jr.: "Design for the Control of Selection Bias" [*Annals of Mathematical Statistics*(1957), 28:449-460; and P. Diaconis and R. L. Graham: "The Analysis of Sequential Experiments with Feedback to Subjects" [*Annals of Statistics*(1981), 9(1):3-23.

UCI Main Lib HA 1 A83

UCI Sci Lib HA 1 A83 DrumRandall, Dana and Prasad Tetali. "Analyzing Glauber Dynamics by Comparison of Markov Chains."

*Journal of Mathematical Physics*(March 2000), 41(3):1598-1615.

UCI Sci Lib QC 20 J65 Drum

Reprinted from Claudio L. Lucchesi and Arnaldo V. Moura, eds.,*LATIN'98: Third Latin American Symposium, Campinas, Brazil, April 20-24, 1998: Proceedings*, pp. 292-304. Lecture Notes in Computer Science, 1380. Berlin & New York: Springer, 1998.

Text

UCI Sci Lib QA75.5 .L348 1998 BarRockmore, Daniel N. "Efficient Computation of Fourier Inversion for Finite-Groups."

*Journal of the Association for Computing Machinery*(January 1994), 41(1):31-66.

UCI Sci Lib QA 76 A77 DrumRosenthal, Jeffrey S. "Random Rotations: Characters and Random-Walks on So(N)."

*Annals of Probability*(January 1994), 22(1):398-423.

UCI Main Lib HA 1 A82

UCI Sci Lib HA 1 A82 DrumRosenthal, Jeffrey S. "Random-Walks on Discrete and Continuous Circles."

*Journal of Applied Probability*(December 1993), 30(4):780-789.

UCI Sci Lib QA 276 J65 DrumScarabotti, Fabio. "Radon Transforms on the Symmetric Group and Harmonic Analysis of a Class of Invariant Laplacians."

*Forum Mathematicum*(1998), 10(4):407-411.Stong, Richard. "Random Walks on the Groups of Upper Triangular Matrices."

*Annals of Probability*(October 1995), 23(4):1939-1949.

UCI Main Lib HA 1 A82

UCI Sci Lib HA 1 A82 DrumSwartz, T. B., C. Villegas, and Camilo J. Martínez. "On Semiparametric Pivotal Bayesian-Inference for Quantiles."

*Communications in Statistics: Theory and Methods*(1995), 24(10):2499-2515.

UCI Sci Lib QA 276 A1 C66 DrumTrefethen L. N. and L. M. Trefethen. "How Many Shuffles to Randomize a Deck of Cards?"

*Proceedings of the Royal Society of London Series A: Mathematical Physical and Engineering Sciences*(October 8, 2000), 456(2002):2561-2568.

UCI Sci Lib Q 41 L7 DrumVoit, Michael. "Asymptotic Distributions for the Ehrenfest Urn and Related Random Walks."

*Journal of Applied Probability*(June 1996), 33(2):340-356.

UCI Sci Lib QA 276 J65 DrumVoit, Michael. "Limit Theorems for Random Walks on the Double Coset Spaces U(n)//U(n-1) for n->infinity [i.e. ${\rm U}(n)//{\rm U}(n-1)$ for $n\to\infty$]."

*Journal of Computational and Applied Mathematics*(December 29, 1995), 65(1-3):449-459. Proceedings of the International Conference on Orthogonality, Moment Problems and Continued Fractions (Delft, 1994).

Textvon Weizsäcker, Heinrich. "Sudakov's Typical Marginals, Random Linear Functionals and a Conditional Central Limit Theorem."

*Probability Theory and Related Fields*(March 1997), 107(3):313-324.

UCI Sci Lib QA 273 Z4 DrumWilson, David Bruce. "Random Random Walks on Z(2)(d)*. [i.e. $Z\sp d\sb 2$."

*Probability Theory and Related Fields*(August 1997), 108(4):441-457.

UCI Sci Lib QA 273 Z4 Drum

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