"Coincidence"
"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
Text
"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
Text
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 Drum
Review 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
Text
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
Text
(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
Text
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
Text
See 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
Text
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
Text
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
Text
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
Text
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
Text
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.
Text
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
Text
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
Text
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
Text
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
Text
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
Text
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
Text
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
Text
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
Text
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
Text
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
Text
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
Text
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
Text
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
Text
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
Text
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
Text
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
Text
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
Text
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
Text
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
Text
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
Text
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
Text
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
Text
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
Text
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
Text
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 Drum
Review of Bela Bollobas' Modern Graph Theory.
Journal of the American Statistical Association (December 2000),
95(452):1377.
UCI Main Lib HA 1 A6
Review 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 Drum
Review 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 Drum
Accardi, 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 Drum
Alsmeyer, 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. Internet
Balinski, 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 Drum
Bar-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 Drum
Bergeron, 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 Drum
Blaszczyszyn B. and K. Sigman.
"Risk and Duality in Multidimensions."
Stochastic Processes and their Applications (October 1, 1999), 83 (2):331-356.
Internet
Catoni, 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 Drum
Dai, 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.
Text
Dinwoodie, 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 Drum
Fontes, 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 Drum
Foote 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 Drum
Fulman, Jason.
"The Combinatorics of Biased Riffle Shuffles."
Combinatorica (1998), 18(2):173-184.
Text
Fulman 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 Drum
Ghosal, 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.
Text
Godbole, 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 Drum
Goodman, 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 Drum
Groeneboom, Piet.
"Ulam's Problem and Hammersley's Process."
Annals of Probability (April 2001), 29(2):683-690.
Online.
UCI Sci Lib HA 1 A82 Drum
Hall, 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 Drum
Hanlon, 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 Drum
Hildebrand, 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 Drum
Hildebrand, 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 Drum
Holmes, 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 Drum
Hora, 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 Rm
James 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 Drum
Jarner, 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 Drum
Johansson, Kurt.
"On Random Matrices from the Compact Classical Groups."
Annals of Mathematics (May 1997), 145(3):519-545.
UCI Sci Lib QA 1 A6 Drum
Kim, 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 Drum
Kolonko, 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 Drum
Krug 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 Drum
Lavine, 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 Rm
Lawler, 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 Drum
Lehmann, 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 Drum
Liu, 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 Drum
Mantel, 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 Drum
Proschan, 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 Drum
Randall, 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 Bar
Rockmore, 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 Drum
Rosenthal, 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 Drum
Rosenthal, 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 Drum
Scarabotti, 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 Drum
Swartz, 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 Drum
Trefethen 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 Drum
Voit, 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 Drum
Voit, 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).
Text
von 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 Drum
Wilson, 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