Bio

I am a mathematician and statistician working in probability, combinatorics, and group theory with a focus on applications to statistics and scientific computing. A specialty is rates of convergence of Markov chains. I am currently interested in trying to adapt the many mathematical developments to say something useful to practitioners in large real-world simulations.

Academic Appointments

Administrative Appointments

  • Visiting Professor, Université de Nice-Sophia Antipolis (2006 - 2007)
  • Fellow, Center for Advanced Study in the Behavioral Sciences (1999 - 2000)
  • Mary Sunseri Professor, Department of Statistics, Stanford University (1998 - Present)
  • Professor of Mathematics, Stanford University (1998 - Present)
  • David Duncan Professor, Department of Mathematics and ORIE, Cornell University (1996 - 1998)
  • George Vasmer Leverett Professor of Mathematics, Harvard University (1987 - 1997)
  • Visiting Professor, Department of Mathematics, Harvard University (1985 - 1986)
  • Visiting Professor, Department of Mathematics, Massachusetts Institute of Technology (1985 - 1986)
  • Professor of Statistics, Stanford University (1981 - 1987)
  • Visiting Professor, Department of Statistics, Harvard University (1981 - 1982)
  • Associate Professor of Statistics, Stanford University (1979 - 1980)
  • Research Staff Member, AT&T Bell Laboratories (1978 - 1979)
  • Assistant Professor of Statistics, Stanford University (1974 - 1979)

Program Affiliations

  • Symbolic Systems Program

Contact

Additional Info

  • Mail Code: 4065

Links

Current Research and Scholarly Interests

Many of my publications during the past three years have focused on rates of convergence of Markov chains to their stationary distributions. This is an important part of applied probability and scientific computing. I am particularly pleased by (a) results with Phillip Wood showing that most birth and death chains on {0,1,...} do not show a sharp cut-off; (b) results with Jason Fulman and Susan Holmes giving a careful analysis of casino shuffling machines; (c) results with Sourav Chatterjee making new contributions to a practical physics problem, Bose-Einstein condensation.

I think I opened up two new areas in the study of Markov chains: rates of convergence to quasi-stationarity and the study of "features''. For the first, a host of absorbing Markov chains appear in genetics, biology, and queuing. These have quasi-stationary distributions: given that the chain has not been absorbed by time T, where is it likely to be? We ask about quantitative versions, how large does T have to be to make the asymptotics useful? The many tools available for ergodic chains need to be completely revised. These papers make a start at revising the geometric theory (Poincare, Cheeger, Nash, log Sobolev). For the second area, "features", often researchers don't care about all aspects of a chain, but are only interested in a few features; then the rates of convergence can change. I proved such things for riffle shuffling but now see how to do things for other chains.

In addition to my work on Markov chains, I have completed a number of statistical projects. One of the main ones is for the statistical analysis of graph and network data. Working with Sourav Chatterjee, Svante Janson, and Susan Holmes we built a theory to allow analysis of familiar exponential models. These can have surprising properties: sometimes N parameters can be accurately estimated based on a sample of size one and sometimes a large amount of data can still lead to inconsistent estimators. This work opened up the connection between statistics and the emerging area of graph limit theory. In turn, that connection has led to a torrent of follow-up work, conferences, and a slew of real-world applications.

One key topic in my work has been generalizations of de Finetti's notion of exchangeability. The graph work above leans on the connections I made between graph limit theory and the Aldous-Hoover theorem. In a different direction, working with Sergio Bacallado and Susan Holmes, I managed to develop a practical theory of "almost exchangeability'' and apply it to some biological problems. I am busy following this up with some more theoretical work on de Finetti-style representation theorems for approximate exchangeable data.

A very different statistical development is represented by my work with Bob Griffiths developing bivariate distributions for data with binomial or multinomial models, and with Bailey, et al. which combines my group-theoretic methods for analysis of designed experiments with more classical approaches of Bailey and Nelder's "general balance''. It is surprising that these important problems haven't been seriously treated to date. Finally, work with my students Bhaswar Bhattacharya and Sumit Mukherjee on generalizations of the birthday problem to random graphs has direct application to Friedman-Rafsky two-sample tests.

2024-25 Courses

Stanford Advisees

All Publications

  • Enumerative theory for the Tsetlin library JOURNAL OF ALGEBRA Chatterjee, S., Diaconis, P., Kim, G. B. 2024; 655: 139-162

    View details for DOI 10.1016/j.jalgebra.2023.08.009

    View details for Web of Science ID 001252306200001

  • Isomorphisms between random graphs JOURNAL OF COMBINATORIAL THEORY SERIES B Chatterjee, S., Diaconis, P. 2023; 160: 144-162

    View details for DOI 10.1016/j.jctb.2023.01.001

    View details for Web of Science ID 001003656600001

  • SEQUENTIAL IMPORTANCE SAMPLING FOR ESTIMATING EXPECTATIONS OVER THE SPACE OF PERFECT MATCHINGS ANNALS OF APPLIED PROBABILITY Alimohammadi, Y., Diaconis, P., Roghani, M., Saberi, A. 2023; 33 (2): 799-833

    View details for DOI 10.1214/22-AAP1834

    View details for Web of Science ID 000960867800006

  • In Praise (and Search) of J. V. Uspensky ENERGY AND BUILDINGS Diaconis, P., Zabell, S. 2023; 282: 160-183

    View details for DOI 10.1214/22-STS866

    View details for Web of Science ID 000991879600010

  • Double coset Markov chains FORUM OF MATHEMATICS SIGMA Diaconis, P., Ram, A., Simper, M. 2023; 11

    View details for DOI 10.1017/fms.2022.106

    View details for Web of Science ID 000908038100001

  • Approximate exchangeability and de Finetti priors in 2022 SCANDINAVIAN JOURNAL OF STATISTICS Diaconis, P. 2022

    View details for DOI 10.1111/sjos.12609

    View details for Web of Science ID 000865096600001

  • Shuffling cards by spatial motion STOCHASTIC PROCESSES AND THEIR APPLICATIONS Diaconis, P., Pal, S. 2022; 152: 149-176

    View details for DOI 10.1016/j.spa.2022.06.023

    View details for Web of Science ID 000828309400004

  • Statistical enumeration of groups by double cosets JOURNAL OF ALGEBRA Diaconis, P., Simper, M. 2022; 607: 214-246

    View details for DOI 10.1016/j.jalgebra.2021.05.010

    View details for Web of Science ID 000833526600009

  • Gambler's Ruin and the ICM STATISTICAL SCIENCE Diaconis, P., Ethier, S. N. 2022; 37 (3): 289-305

    View details for DOI 10.1214/21-STS826

    View details for Web of Science ID 000851465300001

  • Guessing about Guessing: Practical Strategies for Card Guessing with Feedback AMERICAN MATHEMATICAL MONTHLY Diaconis, P., Graham, R., Spiro, S. 2022

    View details for DOI 10.1080/00029890.2022.2069986

    View details for Web of Science ID 000799164200001

  • Partial Exchangeability for Contingency Tables MATHEMATICS Diaconis, P. 2022; 10 (3)

    View details for DOI 10.3390/math10030442

    View details for Web of Science ID 000756374000001

  • A PHASE TRANSITION FOR REPEATED AVERAGES ANNALS OF PROBABILITY Chatterjee, S., Diaconis, P., Sly, A., Zhang, L. 2022; 50 (1): 1-17

    View details for DOI 10.1214/21-AOP1526

    View details for Web of Science ID 000760718500001

  • Card guessing with partial feedback COMBINATORICS PROBABILITY & COMPUTING Diaconis, P., Graham, R., He, X., Spiro, S. 2022; 31 (1): 1-20

    View details for DOI 10.1017/S0963548321000134

    View details for Web of Science ID 000889141300001

  • Randomized sequential importance sampling for estimating the number of perfect matchings in bipartite graphs ADVANCES IN APPLIED MATHEMATICS Diaconis, P., Kolesnik, B. 2021; 131

    View details for DOI 10.1016/j.aam.2021.102247

    View details for Web of Science ID 000701880400008

  • Hahn polynomials and the Burnside process RAMANUJAN JOURNAL Diaconis, P., Zhong, C. 2021

    View details for DOI 10.1007/s11139-021-00482-z

    View details for Web of Science ID 000696746300001

  • Speeding up Markov chains with deterministic jumps (vol 178, pg 1193, 2020) PROBABILITY THEORY AND RELATED FIELDS Chatterjee, S., Diaconis, P. 2021

    View details for DOI 10.1007/s00440-021-01049-1

    View details for Web of Science ID 000692971000001

  • Discussion of "A Gibbs Sampler for a Class of Random Convex Polytopes" JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION Diaconis, P., Wang, G. 2021; 116 (535): 1193-1195

    View details for DOI 10.1080/01621459.2021.1950000

    View details for Web of Science ID 000796973100012

  • The-Square-and-Add Markov Chain MATHEMATICAL INTELLIGENCER Diaconis, P., He, J., Martin Isaacs, I. 2021

    View details for DOI 10.1007/s00283-021-10058-w

    View details for Web of Science ID 000652440400001

  • Permanental generating functions and sequential importance sampling ADVANCES IN APPLIED MATHEMATICS Chung, F., Diaconis, P., Graham, R. 2021; 126

    View details for DOI 10.1016/j.aam.2019.05.004

    View details for Web of Science ID 000625385000016

  • RANDOM WALK ON UNIPOTENT MATRIX GROUPS ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE Diaconis, P., Hough, R. 2021; 54 (3): 587-625

    View details for DOI 10.24033/asens.2466

    View details for Web of Science ID 000709109400002

  • GAMBLER'S RUIN ESTIMATES ON FINITE INNER UNIFORM DOMAINS ANNALS OF APPLIED PROBABILITY Diaconis, P., Houston-Edwards, K., Saloff-Coste, L. 2021; 31 (2): 865-895

    View details for DOI 10.1214/20-AAP1607

    View details for Web of Science ID 000664792400012

  • Tensor product Markov chains JOURNAL OF ALGEBRA Benkart, G., Diaconis, P., Liebeck, M. W., Pham Huu Tiep 2020; 561: 17–83

    View details for DOI 10.1016/j.jalgebra.2019.10.038

    View details for Web of Science ID 000560726700003

  • Speeding up Markov chains with deterministic jumps PROBABILITY THEORY AND RELATED FIELDS Chatterjee, S., Diaconis, P. 2020

    View details for DOI 10.1007/s00440-020-01006-4

    View details for Web of Science ID 000572039300002

  • Analytic-geometric methods for finite Markov chains with applications to quasi-stationarity ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS Diaconis, P., Houston-Edwards, K., Saloff-Coste, L. 2020; 17 (2): 901–91

    View details for DOI 10.30757/ALEA.v17-35

    View details for Web of Science ID 000604979900011

  • Reproducing kernel orthogonal polynomials on the multinomial distribution JOURNAL OF APPROXIMATION THEORY Diaconis, P., Griffiths, R. C. 2019; 242: 1–30

    View details for DOI 10.1016/j.jat.2019.01.007

    View details for Web of Science ID 000468713900001

  • THE SAMPLE SIZE REQUIRED IN IMPORTANCE SAMPLING ANNALS OF APPLIED PROBABILITY Chatterjee, S., Diaconis, P. 2018; 28 (2): 1099–1135

    View details for DOI 10.1214/17-AAP1326

    View details for Web of Science ID 000431722900011

  • Bayesian goodness of fit tests: a conversation for David Mumford ANNALS OF MATHEMATICAL SCIENCES AND APPLICATIONS Diaconis, P., Wang, G. 2018; 3 (1): 287–308

    View details for Web of Science ID 000435089900010

  • A CENTRAL LIMIT THEOREM FOR A NEW STATISTIC ON PERMUTATIONS INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS Chatterjee, S., Diaconis, P. 2017; 48 (4): 561–73

    View details for DOI 10.1007/s13226-017-0246-3

    View details for Web of Science ID 000419195300006

  • UNIVERSAL LIMIT THEOREMS IN GRAPH COLORING PROBLEMS WITH CONNECTIONS TO EXTREMAL COMBINATORICS ANNALS OF APPLIED PROBABILITY Bhattacharya, B. B., Diaconis, P., Mukherjeet, S. 2017; 27 (1): 337-394

    View details for DOI 10.1214/16-AAP1205

    View details for Web of Science ID 000397363200011

  • Useful Bounds on the Extreme Eigenvalues and Vectors of Matrices for Harper's Operators LARGE TRUNCATED TOEPLITZ MATRICES, TOEPLITZ OPERATORS, AND RELATED TOPICS: THE ALBRECHT BOTTCHER ANNIVERSARY VOLUME Bump, D., Diaconis, P., Hicks, A., Miclo, L., Widom, H., Bini, D. A., Ehrhardt, T., Karlovich, A. Y., Spitkovsky 2017; 259: 235–65

    View details for Web of Science ID 000417893200014

  • The Mathematics of the Flip and Horseshoe Shuffles AMERICAN MATHEMATICAL MONTHLY Butler, S., Diaconis, P., Graham, R. 2016; 123 (6): 542-556

    View details for DOI 10.4169/amer.math.monthly.123.6.542

    View details for Web of Science ID 000381754900002

  • Estimates on the amplitude of the first Dirichlet eigenvector in discrete frameworks SCIENCE CHINA-MATHEMATICS Diaconis, P., Miclo, L. 2016; 59 (2): 205-226

    View details for DOI 10.1007/s11425-015-5085-2

    View details for Web of Science ID 000369949400001

  • Central limit theorems for some set partition statistics ADVANCES IN APPLIED MATHEMATICS Chern, B., Diaconis, P., Kane, D. M., Rhoades, R. C. 2015; 70: 92-105

    View details for DOI 10.1016/j.aam.2015.06.008

    View details for Web of Science ID 000361255600006

  • de Finetti Priors using Markov chain Monte Carlo computations STATISTICS AND COMPUTING Bacallado, S., Diaconis, P., Holmes, S. 2015; 25 (4): 797-808

    Abstract

    Recent advances in Monte Carlo methods allow us to revisit work by de Finetti who suggested the use of approximate exchangeability in the analyses of contingency tables. This paper gives examples of computational implementations using Metropolis Hastings, Langevin and Hamiltonian Monte Carlo to compute posterior distributions for test statistics relevant for testing independence, reversible or three way models for discrete exponential families using polynomial priors and Gröbner bases.

    View details for DOI 10.1007/s11222-015-9562-9

    View details for Web of Science ID 000356828600009

    View details for PubMedCentralID PMC4578810

  • de Finetti Priors using Markov chain Monte Carlo computations. Statistics and computing Bacallado, S., Diaconis, P., Holmes, S. 2015; 25 (4): 797-808

    Abstract

    Recent advances in Monte Carlo methods allow us to revisit work by de Finetti who suggested the use of approximate exchangeability in the analyses of contingency tables. This paper gives examples of computational implementations using Metropolis Hastings, Langevin and Hamiltonian Monte Carlo to compute posterior distributions for test statistics relevant for testing independence, reversible or three way models for discrete exponential families using polynomial priors and Gröbner bases.

    View details for DOI 10.1007/s11222-015-9562-9

    View details for PubMedID 26412947

    View details for PubMedCentralID PMC4578810

  • An introduction to multivariate Krawtchouk polynomials and their applications JOURNAL OF STATISTICAL PLANNING AND INFERENCE Diaconis, P., Griffiths, R. 2014; 154: 39-53

    View details for DOI 10.1016/j.jspi.2014.02.004

    View details for Web of Science ID 000343348700005

  • Carries, Group Theory, and Additive Combinatorics AMERICAN MATHEMATICAL MONTHLY Diaconis, P., Shao, X., Soundararajan, K. 2014; 121 (8): 674-688

    View details for DOI 10.4169/amer.math.monthly.121.08.674

    View details for Web of Science ID 000343376800002

  • Unseparated pairs and fixed points in random permutations ADVANCES IN APPLIED MATHEMATICS Diaconis, P., Evans, S. N., Graham, R. 2014; 61: 102-124

    View details for DOI 10.1016/j.aam.2014.05.006

    View details for Web of Science ID 000344435400006

  • Combinatorics of balanced carries ADVANCES IN APPLIED MATHEMATICS Diaconis, P., Fulman, J. 2014; 59: 8-25

    View details for DOI 10.1016/j.aam.2014.05.005

    View details for Web of Science ID 000340331600002

  • Convolution powers of complex functions on Z MATHEMATISCHE NACHRICHTEN Diaconis, P., Saloff-Coste, L. 2014; 287 (10): 1106-1130

    View details for DOI 10.1002/mana.201200163

    View details for Web of Science ID 000339011500003

  • Hopf algebras and Markov chains: two examples and a theory JOURNAL OF ALGEBRAIC COMBINATORICS Diaconis, P., Pang, C. Y., Ram, A. 2014; 39 (3): 527-585

    View details for DOI 10.1007/s10801-013-0456-7

    View details for Web of Science ID 000333706100001

  • Fluctuations of the Bose-Einstein condensate JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL Chatterjee, S., Diaconis, P. 2014; 47 (8)

    View details for DOI 10.1088/1751-8113/47/8/085201

    View details for Web of Science ID 000332003600002

  • An Introduction to Multivariate Krawtchouck Polynomials and their Applications Journal of Statistical Planning and Inference Diaconis, P., Griffiths, R. 2014
  • ESTIMATING AND UNDERSTANDING EXPONENTIAL RANDOM GRAPH MODELS ANNALS OF STATISTICS Chatterjee, S., Diaconis, P. 2013; 41 (5): 2428-2461

    View details for DOI 10.1214/13-AOS1155

    View details for Web of Science ID 000327746100006

  • Some things we've learned (about Markov chain Monte Carlo) BERNOULLI Diaconis, P. 2013; 19 (4): 1294-1305

    View details for DOI 10.3150/12-BEJSP09

    View details for Web of Science ID 000324346200009

  • ANALYSIS OF CASINO SHELF SHUFFLING MACHINES ANNALS OF APPLIED PROBABILITY Diaconis, P., Fulman, J., Holmes, S. 2013; 23 (4): 1692-1720

    View details for DOI 10.1214/12-AAP884

    View details for Web of Science ID 000321678200014

  • Random doubly stochastic tridiagonal matrices RANDOM STRUCTURES & ALGORITHMS Diaconis, P., Wood, P. M. 2013; 42 (4): 403-437

    View details for DOI 10.1002/rsa.20452

    View details for Web of Science ID 000319070400001

  • Note on a partition limit theorem for rank and crank BULLETIN OF THE LONDON MATHEMATICAL SOCIETY Diaconis, P., Janson, S., Rhoades, R. C. 2013; 45: 551-553

    View details for DOI 10.1112/blms/bds121

    View details for Web of Science ID 000318803500010

  • Interval Graph Limits ANNALS OF COMBINATORICS Diaconis, P., Holmes, S., Janson, S. 2013; 17 (1): 27-52

    Abstract

    We work out a graph limit theory for dense interval graphs. The theory developed departs from the usual description of a graph limit as a symmetric function W (x, y) on the unit square, with x and y uniform on the interval (0, 1). Instead, we fix a W and change the underlying distribution of the coordinates x and y. We find choices such that our limits are continuous. Connections to random interval graphs are given, including some examples. We also show a continuity result for the chromatic number and clique number of interval graphs. Some results on uniqueness of the limit description are given for general graph limits.

    View details for DOI 10.1007/s00026-012-0175-0

    View details for Web of Science ID 000319358600003

    View details for PubMedCentralID PMC4578824

  • Interval Graph Limits. Annals of combinatorics Diaconis, P., Holmes, S., Janson, S. 2013; 17 (1): 27-52

    Abstract

    We work out a graph limit theory for dense interval graphs. The theory developed departs from the usual description of a graph limit as a symmetric function W (x, y) on the unit square, with x and y uniform on the interval (0, 1). Instead, we fix a W and change the underlying distribution of the coordinates x and y. We find choices such that our limits are continuous. Connections to random interval graphs are given, including some examples. We also show a continuity result for the chromatic number and clique number of interval graphs. Some results on uniqueness of the limit description are given for general graph limits.

    View details for DOI 10.1007/s00026-012-0175-0

    View details for PubMedID 26405368

    View details for PubMedCentralID PMC4578824

  • Sampling from a Manifold Advances in Modern Statistical Theory and Applications: A Festschrift in honor of Morris L. Eaton Diaconis, P., Holmes, S., Shahashahani, M. edited by Jones, G., Shen, X. Institute of Mathematical Statistics. 2013: 102–125
  • Closed Expressions for Averages of Set Partition Statistics International Journal of Modern Math Chern, B., Diaconis, P., Chatterjee, S. 2013
  • Carries, Group Theory and Additive Combinatorics American Mathematical Monthly Diaconis, P., Shao, X., Soundararajan, K. 2013
  • Fluctuations of the Bose-Einstein Condensate Journal of Physics A: Mathematical and Theoretical Chatterjee, S., Diaconis, P. 2013; 47 (8)
  • Foulkes characters, Eulerian idempotents, and an amazing matrix JOURNAL OF ALGEBRAIC COMBINATORICS Diaconis, P., Fulman, J. 2012; 36 (3): 425-440

    View details for DOI 10.1007/s10801-012-0343-7

    View details for Web of Science ID 000308700600006

  • Gibbs/Metropolis algorithms on a convex polytope MATHEMATISCHE ZEITSCHRIFT Diaconis, P., Lebeau, G., Michel, L. 2012; 272 (1-2): 109-129

    View details for DOI 10.1007/s00209-011-0924-5

    View details for Web of Science ID 000308646500007

  • A PROBABILISTIC INTERPRETATION OF THE MACDONALD POLYNOMIALS ANNALS OF PROBABILITY Diaconis, P., Ram, A. 2012; 40 (5): 1861-1896

    View details for DOI 10.1214/11-AOP674

    View details for Web of Science ID 000311005600001

  • On Dirichlet eigenvectors for neutral two-dimensional Markov chains ELECTRONIC JOURNAL OF PROBABILITY Champagnat, N., Diaconis, P., Miclo, L. 2012; 17: 1-41

    View details for DOI 10.1214/EJP.v17-1830

    View details for Web of Science ID 000307815700001

  • EXCHANGEABLE PAIRS OF BERNOULLI RANDOM VARIABLES, KRAWTCHOUCK POLYNOMIALS, AND EHRENFEST URNS AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS Diaconis, P., Griffiths, R. 2012; 54 (1): 81-101

    View details for DOI 10.1111/j.1467-842X.2012.00654.x

    View details for Web of Science ID 000306795200005

  • Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras ADVANCES IN MATHEMATICS Aguiar, M., Andre, C., Benedetti, C., Bergeron, N., Chen, Z., Diaconis, P., Hendrickson, A., Hsiao, S., Isaacs, I. M., Jedwab, A., Johnson, K., Karaali, G., Lauve, A., Le, T., Lewis, S., Li, H., Magaard, K., Marberg, E., Novelli, J., Pang, A., Saliola, F., Tevlin, L., Thibon, J., Thiem, N., Venkateswaran, V., Vinroot, C. R., Yan, N., Zabrocki, M. 2012; 229 (4): 2310-2337

    View details for DOI 10.1016/j.aim.2011.12.024

    View details for Web of Science ID 000300386600007

  • On the spectral analysis of second-order Markov chains Annales de la Faculté des Sciences de Toulouse, Mathematiques Diaconis, P., Miclo, L. 2012; 22: 573-621
  • Riffle Shuffles with Biased Cuts Formal Power Series and Algebraic Combinatorics Conference Assaf, S., Diaconis, P., Soundararajan, K. 2012
  • RANDOM GRAPHS WITH A GIVEN DEGREE SEQUENCE ANNALS OF APPLIED PROBABILITY Chatterjee, S., Diaconis, P., Sly, A. 2011; 21 (4): 1400-1435

    View details for DOI 10.1214/10-AAP728

    View details for Web of Science ID 000294220500006

  • The Mathematics of Mixing Things Up JOURNAL OF STATISTICAL PHYSICS Diaconis, P. 2011; 144 (3): 445-458

    View details for DOI 10.1007/s10955-011-0284-x

    View details for Web of Science ID 000294227400002

  • Geometric analysis for the metropolis algorithm on Lipschitz domains INVENTIONES MATHEMATICAE Diaconis, P., Lebeau, G., Michel, L. 2011; 185 (2): 239-281

    View details for DOI 10.1007/s00222-010-0303-6

    View details for Web of Science ID 000293978500001

  • A RULE OF THUMB FOR RIFFLE SHUFFLING ANNALS OF APPLIED PROBABILITY Assaf, S., Diaconis, P., Soundararajan, K. 2011; 21 (3): 843-875

    View details for DOI 10.1214/10-AAP701

    View details for Web of Science ID 000291736600002

  • On Barycentric Subdivision COMBINATORICS PROBABILITY & COMPUTING Diaconis, P., Miclo, L. 2011; 20 (2): 213-237

    View details for DOI 10.1017/S0963548310000441

    View details for Web of Science ID 000287608000003

  • Magical Mathematics: The Mathematical Ideas that Animate Great Magic Tricks Diaconis, P., Graham, R. Princeton University Press. 2011
  • STOCHASTIC ALTERNATING PROJECTIONS ILLINOIS JOURNAL OF MATHEMATICS Diaconis, P., Khare, K., Saloff-Coste, L. 2010; 54 (3): 963-979

    View details for Web of Science ID 000208398200006

  • ON ADDING A LIST OF NUMBERS (AND OTHER ONE-DEPENDENT DETERMINANTAL PROCESSES) BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY Borodin, A., Diaconis, P., Fulman, J. 2010; 47 (4): 639-670

    View details for Web of Science ID 000283966700002

  • Functions of random walks on hyperplane arrangements ADVANCES IN APPLIED MATHEMATICS Athanasiadis, C. A., Diaconis, P. 2010; 45 (3): 410-437

    View details for DOI 10.1016/j.aam.2010.02.001

    View details for Web of Science ID 000281294000009

  • Threads Through Group Theory International Conference on the Character Theory of Finite Groups, in Honor of I Martin Isaacs Diaconis, P. AMER MATHEMATICAL SOC. 2010: 33–47

    View details for Web of Science ID 000283112600004

  • Geometric Analysis for the Metropolis Algorithm on Lipschitz Domains Inventiones Mathematicae Diaconis, P., Lebeau, G., Michel, L. 2010; 185 (2): 239-281
  • Properties of Uniform Doubly Stochastic Matrices Annals of Applied Probability Diaconis, P., Chatterjee, S., Sly, A. 2010
  • Gibbs Sampling, Conjugate Priors and Coupling Sankhya Diaconis, P., Khare, K., Saloff-Coste, L. 2010; 72-A (1): 136-169
  • Carries, Shuffling, and an Amazing Matrix AMERICAN MATHEMATICAL MONTHLY Diaconis, P., Fulman, J. 2009; 116 (9): 788-803

    View details for DOI 10.4169/000298909X474864

    View details for Web of Science ID 000207893000002

  • On Times to Quasi-stationarity for Birth and Death Processes JOURNAL OF THEORETICAL PROBABILITY Diaconis, P., Miclo, L. 2009; 22 (3): 558-586

    View details for DOI 10.1007/s10959-009-0234-6

    View details for Web of Science ID 000268192300002

  • Carries, shuffling, and symmetric functions ADVANCES IN APPLIED MATHEMATICS Diaconis, P., Fulman, J. 2009; 43 (2): 176-196

    View details for DOI 10.1016/j.aam.2009.02.002

    View details for Web of Science ID 000267134700006

  • Micro-local analysis for the Metropolis algorithm MATHEMATISCHE ZEITSCHRIFT Diaconis, P., Lebeau, G. 2009; 262 (2): 411-447

    View details for DOI 10.1007/s00209-008-0383-9

    View details for Web of Science ID 000265442300010

  • SUPERCHARACTER FORMULAS FOR PATTERN GROUPS TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Diaconis, P., Thiem, N. 2009; 361 (7): 3501-3533

    View details for Web of Science ID 000264881700006

  • A Sequential Importance Sampling Algorithm for Generating Random Graphs With Prescribed Degrees Journal of Internet Mathematics Diaconis, P., Blitzstein, J. 2009; 6 (4): 489-522
  • Book Review: Probabilistic Symmetries and Invariance Principles by Olav Kallenberg, Probability and its Applications Bulletin of the American Mathematical Society Diaconis, P. 2009
  • Threshold Graph Limits and Random Threshold Graphs Journal of Internet Mathematics Diaconis, P., Holmes, S., Janson, S. 2009; 5 (3): 267-320
  • Riffle shuffles of a deck with repeated cards 21st International Conference on Formal Power Series and Algebraic Combinatorics Diaconis, P., Assaf, S., Soundararajan, K. 2009: 89–102
  • FASTEST MIXING MARKOV CHAIN ON GRAPHS WITH SYMMETRIES SIAM JOURNAL ON OPTIMIZATION Boyd, S., Diaconis, P., Parrilo, P., Xiao, L. 2009; 20 (2): 792-819

    View details for DOI 10.1137/070689413

    View details for Web of Science ID 000268859300011

  • On characterizations of Metropolis type algorithms in continuous time ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS Diaconis, P., Miclo, L. 2009; 6: 199-238

    View details for Web of Science ID 000208169800009

  • THE MARKOV CHAIN MONTE CARLO REVOLUTION BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY Diaconis, P. 2009; 46 (2): 179-205

    View details for Web of Science ID 000263433700002

  • HORSESHOES IN MULTIDIMENSIONAL SCALING AND LOCAL KERNEL METHODS ANNALS OF APPLIED STATISTICS Diaconis, P., Goel, S., Holmes, S. 2008; 2 (3): 777-807

    View details for DOI 10.1214/08-AOAS165

    View details for Web of Science ID 000261057900001

  • On fixed points of permutations JOURNAL OF ALGEBRAIC COMBINATORICS Diaconis, P., Fulman, J., Guralnick, R. 2008; 28 (1): 189-218

    View details for DOI 10.1007/s10801-008-0135-2

    View details for Web of Science ID 000257489000010

  • Gibbs sampling, exponential families and orthogonal polynomials STATISTICAL SCIENCE Diaconis, P., Khare, K., Saloff-Coste, L. 2008; 23 (2): 151-178

    View details for DOI 10.1214/07-STS252

    View details for Web of Science ID 000259275400001

  • Supercharacters and superclasses for algebra groups TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Diaconis, P., Isaacs, I. M. 2008; 360 (5): 2359-2392

    View details for Web of Science ID 000252879200005

  • Threshold Graph Limits and Random Threshold Graphs. Internet mathematics Diaconis, P., Holmes, S., Janson, S. 2008; 5 (3): 267-320

    Abstract

    We study the limit theory of large threshold graphs and apply this to a variety of models for random threshold graphs. The results give a nice set of examples for the emerging theory of graph limits.

    View details for PubMedID 20811581

  • Comment: Gibbs Sampling, Exponential Families and Orthogonal Polynomials Statistical Science Berti, P., Consonni, G., Pratelli, L., Rigo, P., Diaconis, P. 2008; 23 (2): 179-182
  • Projection Pursuit for Discrete Data Probability and Statistics: Essays in Honor of David A. Freedman Diaconis, P., Salzman, J. Institute of Mathematical Statistics. 2008: 265–288
  • Products of Universal Cycles A lifetime of puzzles: a collection of puzzles in honor of Martin Gardner Diaconis, P., Graham, R. L. edited by Demain, E., Demaine, M., Rodgers, T. AK Peters, Ltd.. 2008: 35–55
  • Graph Limits and Exchangeable Random Graphs Rendiconti di Matematica Diaconis, P., Janson, S. 2008; VII (28): 33-61
  • Comment Journal of the American Statistical Association Diaconis, P., Lehmann, E. 2008; 103 (481): 16
  • Mathematical Statistics Princeton Companion to Mathematics Diaconis, P. edited by Gowers, T. Princeton University Press. 2008: 916-920
  • Comment: Gibbs Sampling, Exponential Families and Orthogonal Polynomials Statistical Science Diaconis, P., Jones, G. L., Johnson, A. A. 2008; 23 (2): 183-186
  • Rejoinder: Gibbs Sampling, Exponential Families and Orthogonal Polynomials Statistical Science Diaconis, P., Khare, K., Saloff-Coste, L. 2008; 23 (2): 196-200
  • Shuffling Cards, Adding Numbers, and Symmetric Functions 19th ACM-SIAM Symposium on Discrete Algorithms Diaconis, P. SIAM. 2008: 560–560

    View details for Web of Science ID 000281596900062

  • Dynamical bias in the coin toss SIAM REVIEW Diaconis, P., Holmes, S., Montgomery, R. 2007; 49 (2): 211-235

    View details for DOI 10.1137/S0036144504446436

    View details for Web of Science ID 000246858500002

  • The Solutions to Elmsley's Problem Math Horizons Diaconis, P., Graham, R. L. 2007; 14: 22-27
  • Hit and Run as a Unifying Device Journal de la Société Française de Statistique Diaconis, P., Graham, R. L. 2007; 148 (4): 5-28
  • The fastest mixing Markov process on a graph and a connection to a maximum variance unfolding problem SIAM REVIEW Sun, J., Boyd, S., Xiao, L., Diaconis, P. 2006; 48 (4): 681-699

    View details for DOI 10.1137/S0036144504443821

    View details for Web of Science ID 000242326500002

  • Separation cut-offs for birth and death chains ANNALS OF APPLIED PROBABILITY Diaconis, P., Saloff-Coste, L. 2006; 16 (4): 2098-2122

    View details for DOI 10.1214/105051606000000501

    View details for Web of Science ID 000243782000014

  • Bayesian analysis for reversible Markov chains ANNALS OF STATISTICS Diaconis, P., Rolles, S. W. 2006; 34 (3): 1270-1292

    View details for DOI 10.1214/009053606000000290

    View details for Web of Science ID 000239471300008

  • Examples comparing importance sampling and the metropolis algorithm ILLINOIS JOURNAL OF MATHEMATICS Bassetti, F., Diaconis, P. 2006; 50 (1): 67-91

    View details for Web of Science ID 000242194700005

  • Markov bases for noncommutative Fourier analysis of ranked data Workshop on Computational Algebraic Statistics Diaconis, P., Eriksson, N. ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD. 2006: 182–95

    View details for DOI 10.1016/j.jsc.2005.04.009

    View details for Web of Science ID 000235394300007

  • Fastest mixing Markov chain on a path AMERICAN MATHEMATICAL MONTHLY Boyd, S., Diaconis, P., Sun, J., Xiao, L. 2006; 113 (1): 70-74

    View details for Web of Science ID 000234776200007

  • Sequential Monte Carlo methods for statistical analysis of tables JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION Chen, Y. G., Diaconis, P., Holmes, S. R., Liu, J. S. 2005; 100 (469): 109-120

    View details for DOI 10.1198/016214504000001303

    View details for Web of Science ID 000233311100016

  • Analysis of a Bose-Einstein Markov chain ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES Diaconis, P. 2005; 41 (3): 409-418

    View details for DOI 10.1016/j.anihpb.2004.09.007

    View details for Web of Science ID 000229277300009

  • Exchangeable Pairs and Poisson Approximation Probability Surveys Diaconis, P., Chatterjee, S., Meckes, E. 2005; 2 (1): 64-106
  • Symmetry Analysis of Reversible Markov Chains Journal of Internet Mathematics Diaconis, P., Boyd, S., Parrilo, P., Xiao, L. 2005; 2 (1): 31-71
  • What is...a Random Matrix Notices of the American Mathematical Society Diaconis, P. 2005; 52 (11): 1348-1349
  • Fastest mixing Markov chain on a graph SIAM REVIEW Boyd, S., Diaconis, P., Xiao, L. 2004; 46 (4): 667-689

    View details for DOI 10.1137/s0036144503423264

    View details for Web of Science ID 000225304300006

  • A super-class walk on upper-triangular matrices JOURNAL OF ALGEBRA Arias-Castro, E., Diaconis, P., Stanley, R. 2004; 278 (2): 739-765

    View details for DOI 10.1016/j.jalgebra.2004.04.005

    View details for Web of Science ID 000222709400018

  • Random matrices, magic squares and matching polynomials ELECTRONIC JOURNAL OF COMBINATORICS Diaconis, P., Gamburd, A. 2004; 11 (2)

    View details for Web of Science ID 000221826200002

  • The Markov moment problem and de Finetti's theorem: Part I MATHEMATISCHE ZEITSCHRIFT Diaconis, P., Freedman, D. 2004; 247 (1): 183-199

    View details for DOI 10.1007/s00209-003-0633-9

    View details for Web of Science ID 000220713800008

  • The Markov moment problem and de Finetti's theorem: Part II MATHEMATISCHE ZEITSCHRIFT Diaconis, P., Freedman, D. 2004; 247 (1): 201-212

    View details for DOI 10.1007/s00209-003-0636-6

    View details for Web of Science ID 000220713800009

  • Numerical results for the metropolis algorithm EXPERIMENTAL MATHEMATICS Diaconis, P., Neuberger, J. W. 2004; 13 (2): 207-213

    View details for Web of Science ID 000222891900008

  • Uses of Exchangeable Pairs in Monte Carlo Markov Chains Stein's Method: Expository Lectures and Applications Diaconis, P., Stein, C., Holmes, S., Reinert, G. edited by Diaconis, P., Holmes, S. Institute of Mathematical Statistics. 2004: 1–26
  • On the Distribution of the Greatest Common Divisor A Festschrift for Herman Rubin Diaconis, P., Erdös, P. edited by Dasgupta, A. Institute of Mathematical Statistics. 2004: 126–137
  • Stein's Method for Markov Chains: First Examples Stein's Method: Expository Lectures and Applications Diaconis, P. edited by Diaconis, P., Holmes, S. Institute of Mathematical Statistics. 2004: 27–43
  • The Poisson-Dirichlet law is the unique invariant distribution for uniform split-merge transformations ANNALS OF PROBABILITY Diaconis, P., Mayer-Wolf, E., Zeitouni, O., Zerner, M. P. 2004; 32 (1B): 915-938

    View details for Web of Science ID 000220570400010

  • New tests of the correspondence between unitary eigenvalues and the zeros of Riemann's zeta function JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL Coram, M., Diaconis, P. 2003; 36 (12): 2883-2906

    View details for Web of Science ID 000182454900003

  • Patterns in eigenvalues: The 70th Josiah Willard Gibbs Lecture BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY Diaconis, P. 2003; 40 (2): 155-178

    View details for Web of Science ID 000181708200001

  • Brownian Motion and the Classical Groups Probability, Statistics and their applications: Papers in Honor of Rabii Bhattacharaya Diaconis, P., D'Aristotile, A., Newman, C. edited by Athreya, K., Majumdar, M., Puri, M., Waymire, E. Institute of Mathematical Statistics. 2003: 97–116
  • New Tests of the Correspondence Between Unitary Eigenvalues and the Zeros of Riemann's Zeta Functions Journal of Physics A: Mathematics and General Diaconis, P., Coram, M. 2003; 36 (12): 2883-2906
  • Randomn Walk on Groups: Characters and Geometry Groups St. Andrews, 2001 Diaconis, P. edited by Campbell, C. M., Roberson, E. F., Smith, G. C. Oxford: Cambridge University Press. 2003: 120–142
  • The Problem of Thinking Too Much Bulletin of the American Academy of Arts and Sciences Diaconis, P. 2003; LVI (3): 26-38
  • Mathematical Developments from the Analysis of Riffle-Shuffling Groups, Combinatorics and Geometry Diaconis, P. edited by Ivanov, A., Fuanou, A., Liebeck, M. World Scientific. 2003: 73–97
  • G. H. Hardy and probability??? BULLETIN OF THE LONDON MATHEMATICAL SOCIETY Diaconis, P. 2002; 34: 385-402

    View details for DOI 10.1112/S002460930200111X

    View details for Web of Science ID 000176661300001

  • The asymmetric one-dimensional constrained Ising model: Rigorous results JOURNAL OF STATISTICAL PHYSICS Aldous, D., Diaconis, P. 2002; 107 (5-6): 945-975

    View details for Web of Science ID 000175853800001

  • Toeplitz minors JOURNAL OF COMBINATORIAL THEORY SERIES A Bump, D., Diaconis, P. 2002; 97 (2): 252-271

    View details for DOI 10.1006/jcta.2001.3214

    View details for Web of Science ID 000174102400004

  • Unitary correlations and the Fejer kernel - Dedicated to Harold Widom on his 70th birthday MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY Bump, D., Diaconis, P., Keller, J. B. 2002; 5 (2): 101-123

    View details for Web of Science ID 000180282100001

  • Random Walk on Trees and Matchings Electronic Journal of Probability Diaconis, P., Holmes, S. 2002; 7: 1-17
  • A different construction of Gaussian fields from Markov chains: Dirichlet covariances BDI 2001 Conference Diaconis, P., Evans, S. N. INST MATHEMATICAL STATISTICS. 2002: 863–78

    View details for Web of Science ID 000179857800008

  • A geometric interpretation of the Metropolis-Hastings algorithm STATISTICAL SCIENCE Billera, L. J., Diaconis, P. 2001; 16 (4): 335-339

    View details for Web of Science ID 000173928200003

  • Combinatorics for the East model ADVANCES IN APPLIED MATHEMATICS Chung, F., Diaconis, P., Graham, R. 2001; 27 (1): 192-206

    View details for Web of Science ID 000169489700006

  • Chutes and ladders in Markov chains JOURNAL OF THEORETICAL PROBABILITY Diaconis, P., Durrett, R. 2001; 14 (3): 899-926

    View details for Web of Science ID 000171744500014

  • Statistical problems involving permutations with restricted positions Symposium on State of the Art in Probability and Statistics: Festschrift for Willem R VanZwet Diaconis, P., Graham, R., Holmes, S. P. INST MATHEMATICAL STATISTICS. 2001: 195–222

    View details for Web of Science ID 000175458600011

  • Linear functionals of eigenvalues of random matrices TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Diaconis, P., Evans, S. N. 2001; 353 (7): 2615-2633

    View details for Web of Science ID 000168039100003

  • Analysis of a nonreversible Markov chain sampler ANNALS OF APPLIED PROBABILITY Diaconis, P., Holmes, S., Neal, R. M. 2000; 10 (3): 726-752

    View details for Web of Science ID 000166779900003

  • Immanants and finite point processes JOURNAL OF COMBINATORIAL THEORY SERIES A Diaconis, P., Evans, S. N. 2000; 91 (1-2): 305-321

    View details for Web of Science ID 000089261700014

  • Bounds for Kac's master equation COMMUNICATIONS IN MATHEMATICAL PHYSICS Diaconis, P., Saloff-Coste, L. 2000; 209 (3): 729-755

    View details for Web of Science ID 000085957000006

  • Analysis of systematic scan metropolis algorithms using Iwahori-Hecke algebra techniques MICHIGAN MATHEMATICAL JOURNAL Diaconis, P., Ram, A. 2000; 48: 157-190

    View details for Web of Science ID 000172971000008

  • A Bayesian Peek into Feller I Sankhya A Diaconis, P., Holmes, S. 2000; 64 (3): 820-841
  • Longest increasing subsequences: From patience sorting to the Baik-Deift-Johansson theorem BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY Aldous, D., Diaconis, P. 1999; 36 (4): 413-432

    View details for Web of Science ID 000082398900001

  • Random walks and plane arrangements in three dimensions AMERICAN MATHEMATICAL MONTHLY Billera, L. J., Brown, K. S., Diaconis, P. 1999; 106 (6): 502-524

    View details for Web of Science ID 000080427600002

  • Iterated random functions SIAM REVIEW Diaconis, P., Freedman, D. 1999; 41 (1): 45-76

    View details for Web of Science ID 000079557300002

  • Matchings and phylogenetic trees PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA Diaconis, P. W., Holmes, S. P. 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.

    View details for Web of Science ID 000077436700005

    View details for PubMedID 9843935

  • A place for philosophy? The rise of modeling in statistical science International Symposium on Current and Future Challenges in Aoolied Mathematics, to Mark the 50th Anniversary of the Division-of-Applied-Mathematics Diaconis, P. UNIV PRESS INC. 1998: 797–805

    View details for Web of Science ID 000078412100013

  • Consistency of Bayes estimates for nonparametric regression: normal theory BERNOULLI Diaconis, P. W., Freedman, D. 1998; 4 (4): 411-444

    View details for Web of Science ID 000084941500001

  • Walks on generating sets of groups INVENTIONES MATHEMATICAE Diaconis, P., Saloff-Coste, L. 1998; 134 (2): 251-299

    View details for Web of Science ID 000076754700002

  • Random walks and hyperplane arrangements ANNALS OF PROBABILITY Brown, K. S., Diaconis, P. 1998; 26 (4): 1813-1854

    View details for Web of Science ID 000079193400017

  • What do we know about the metropolis algorithm? 27th Annual ACM Symposium on Theory of Computing Diaconis, P., Saloff-Coste, L. ACADEMIC PRESS INC ELSEVIER SCIENCE. 1998: 20–36

    View details for Web of Science ID 000075979500003

  • Algebraic algorithms for sampling from conditional distributions ANNALS OF STATISTICS Diaconis, P., Sturmfels, B. 1998; 26 (1): 363-397

    View details for Web of Science ID 000079135300014

  • Random Walk and Hyperplane Arrangements Annals of Probability Diaconis, P., Brown, K. 1998; 26 (4): 1813-1854
  • From Shuffling Cards to Walking Around the Building. An Introduction to Markov Chain Theory Proc. Int. Congress, Berlin Diaconis, P. 1998: 187–204
  • Magic Routledge Encyclopedia of Philosophy Diaconis, P. edited by Craig, E. Routledge. 1998
  • Lattice Walks and Primary Decomposition Mathematical Essays in Honor of Gian-Carlo Rota Diaconis, P., Eisenbud, D., Sturmfels, B. edited by Sagan, B., Stanley, R. P. 1998: 173–194
  • The Graph of Generating Sets of an Abelian Group Colloquium Mathematicum Diaconis, P., Graham, R. L. 1998: 31-38
  • Are there still things to do in Bayesian statistics? Conference on Probability, Dynamics and Causality Diaconis, P., Holmes, S. KLUWER ACADEMIC PUBL. 1997: 5–18

    View details for Web of Science ID 000071894300002

  • Consistency of Bayes Estimates for Non-Parametric Regression: A Review Festschrift for Lucien LeCam Diaconis, P., Freedman, D. edited by Pollard, D., Torgersen, E., Yang, G. L. New York: Springer. 1997: 157–166
  • Walks on generating sets of Abelian groups PROBABILITY THEORY AND RELATED FIELDS Diaconis, P., SALOFFCOSTE, L. 1996; 105 (3): 393-421

    View details for Web of Science ID A1996UV42000004

  • Nash inequalities for finite Markov chains JOURNAL OF THEORETICAL PROBABILITY Diaconis, P., SALOFFCOSTE, L. 1996; 9 (2): 459-510

    View details for Web of Science ID A1996UH44600012

  • The cutoff phenomenon in finite Markov chains PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA Diaconis, P. 1996; 93 (4): 1659-1664

    Abstract

    Natural mixing processes modeled by Markov chains often show a sharp cutoff in their convergence to long-time behavior. This paper presents problems where the cutoff can be proved (card shuffling, the Ehrenfests' urn). It shows that chains with polynomial growth (drunkard's walk) do not show cutoffs. The best general understanding of such cutoffs (high multiplicity of second eigenvalues due to symmetry) is explored. Examples are given where the symmetry is broken but the cutoff phenomenon persists.

    View details for Web of Science ID A1996TW69800057

    View details for PubMedID 11607633

  • A Non-Measurable Tail Set Statistics, Probability and Game Theory, Papers in Honor of David Blackwell Diaconis, P., Blackwell, D. edited by Ferguson, T. S., Shapley, L. S., MacQueen, J. B. Institute of Mathematical Statistics. 1996: 1–5
  • Random Walks on Finite Groups: A Survey of Analytic Techniques Probability Measures on Groups XI Diaconis, P., Saloff-Coste, L. edited by Heyer, H. World Scientific Singapore. 1996: 44–75
  • Some New Tools for Dirichlet Priors, Proceedings of the Fifth Valencia International Meeting Bayesian Statistics 5 Diaconis, P. edited by Bernardo, J., Berger, J., Dawid, A., Smith, F. Oxford University Press. 1996: 97–106
  • Logarithmic Sobolev Inequalities for Finite Markov Chains Annals of Applied Probability Diaconis, P., Saloff-Coste, L. 1996; 6: 695-750
  • Metrics on Compositions and Coincidences Among Renewal Sequences Random Discrete Structures Diaconis, P., Holmes, S., Janson, S., Lalley, S. P., Pemantle, R. edited by Aldous, D., Pemantle, R. New York: Springer Verlag. 1996: 81–102
  • Primitive partition identities International Combinatorics Colloquium, in Honor of Paul Erdos 80th Birthday Diaconis, P., GRAHAM, R. L., Sturmfels, B. BOLYAI JANOS MATEMATIKA TARSULAT. 1996: 173–192

    View details for Web of Science ID A1996BG86H00005

  • HAMMERSLEYS INTERACTING PARTICLE PROCESS AND LONGEST INCREASING SUBSEQUENCES PROBABILITY THEORY AND RELATED FIELDS Aldous, D., Diaconis, P. 1995; 103 (2): 199-213

    View details for Web of Science ID A1995TA22100003

  • What Do We Know About the Metropolis Algorithm? Proceedings of the 27th Symposium on Theory of Computing Diaconis, P., Saloff-Coste, L. 1995: 112–129
  • RIFFLE SHUFFLES, CYCLES, AND DESCENTS COMBINATORICA Diaconis, P., McGrath, M., Pitman, J. 1995; 15 (1): 11-29

    View details for Web of Science ID A1995RT93500002

  • An Application of Harnack Inequalities to Random Walk on Nilpotent Quotients Journal Fourier Analysis and Applications Diaconis, P., Saloff-Coste, L. 1995: 189-207
  • NonParametric Binary Regression with Random Covariates Probability and Mathematical Statistics Diaconis, P., Freedman, D. 1995; 15: 243-273
  • GRAY CODES FOR RANDOMIZATION PROCEDURES STATISTICS AND COMPUTING Diaconis, P., Holmes, S. 1994; 4 (4): 287-302

    View details for Web of Science ID A1994PW03200009

  • ON THE EIGENVALUES OF RANDOM MATRICES JOURNAL OF APPLIED PROBABILITY Diaconis, P., Shahshahani, M. 1994; 31A: 49-62

    View details for Web of Science ID A1994NX79600007

  • Three Examples of the Markov Chain Monte Carlo Method Discrete Probability and Algorithms Diaconis, P., Holmes, S. edited by Aldous, D., Saloff-Coste, L., Spencer, J., Steele, J. M. New York: Springer-Verlag. 1994: 43–56
  • MODERATE GROWTH AND RANDOM-WALK ON FINITE-GROUPS GEOMETRIC AND FUNCTIONAL ANALYSIS Diaconis, P., SALOFFCOSTE, L. 1994; 4 (1): 1-36

    View details for Web of Science ID A1994NE69900001

  • Rectangular Arrays With Fixed Margins Discrete Probability and Algorithms Diaconis, P., Gangolli, A. edited by Aldous, D., Saloff-Coste, L., Spencer, J., Steele, J. M. New York: Springer-Verlag. 1994: 15–42
  • SPECTRAL-ANALYSIS FOR DISCRETE LONGITUDINAL DATA ADVANCES IN MATHEMATICS Beckett, L., Diaconis, P. 1994; 103 (1): 107-128

    View details for Web of Science ID A1994MU99200002

  • NONPARAMETRIC BINARY REGRESSION - A BAYESIAN-APPROACH ANNALS OF STATISTICS Diaconis, P., Freedman, D. A. 1993; 21 (4): 2108-2137

    View details for Web of Science ID A1993MQ47700022

  • COMPARISON TECHNIQUES FOR RANDOM-WALK ON FINITE-GROUPS ANNALS OF PROBABILITY Diaconis, P., SALOFFCOSTE, L. 1993; 21 (4): 2131-2156

    View details for Web of Science ID A1993MP50200015

  • Foreward Probability Models and Statistical Analyses For Ranking Data Diaconis, P. edited by Fligner, M., Verducci, J. New York: Springer. 1993: xvii-xxiii
  • DISCUSSION ON THE MEETING ON THE GIBBS SAMPLER AND OTHER MARKOV CHAIN-MONTE CARLO METHODS JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY Clifford, P., Jennison, C., Wakefield, J., Phillips, D., Frigessi, A., Gray, A. J., Lawson, A., Forster, J., RAMGOPAL, P., Arslan, O., Constable, P. D., Kent, J. T., Wolff, R. C., Harding, E. F., Middleton, R., Diggle, P. J., Aykroyd, R. G., Berzuini, C., Brewer, M., Aitken, C., Celeux, G., Diebolt, J., Critchley, F., Diaconis, P., Rosenthal, J. S., Diebolt, J., Robert, C. P., Gelfand, A. E., Lee, T. M., Gelman, A., Rubin, D. B., Geman, D., Geweke, J., Geyer, C. J., Gigli, A., Givens, G. H., Goodall, C., JONALASINIO, G. D., Grieve, A. P., Han, X. L., Kolassa, J. E., Tanner, M. A., Kooperberg, C., Lewis, S. M., Lin, S., Thompson, E. A., Litton, C. D., Buck, C. E., Liu, C. H., Liu, J., Mardia, K. V., Marriott, J. M., Moller, J., Raftery, A. E., Shephard, N., Sinha, D., SOKAL, A. D., Titterington, D. M., Wilson, J. D., York, J., Madigan, D., Smith, A. F., Roberts, G. O., Besag, J., Green, P. J., Gilks, W. R., Clayton, D. G., Spiegelhalter, D. J. 1993; 55 (1): 53-102

    View details for Web of Science ID A1993KL31400004

  • Non-Parametric Binary Bayesian Regression: A Bayesian Approach Annals of Statistics Diaconis, P., Freedman, D. 1993; 21: 2018-2137
  • Efficient Computation of Isotypic Projections for the Symmetric Group DIMACS: Series in Discrete Mathematics and Theoretical Computer Science Diaconis, P., Rockmore, D. edited by Finkelstein, L., Kantor, W. Center for Discrete Mathematics and Theoretical Computer Science. 1993: 87–104
  • Comparison Theorems for Reversible Markov Chains Annals of Applied Probability Diaconis, P., Saloff-Coste, L. 1993; 3 (3): 696-730
  • UNIVERSAL CYCLES FOR COMBINATORIAL STRUCTURES DISCRETE MATHEMATICS Chung, F., Diaconis, P., Graham, R. 1992; 110 (1-3): 43-59

    View details for Web of Science ID A1992KE90400005

  • BINOMIAL COEFFICIENT CODES OVER GF(2) DISCRETE MATHEMATICS Diaconis, P., Graham, R. 1992; 106: 181-188

    View details for Web of Science ID A1992JM73800023

  • AN AFFINE WALK ON THE HYPERCUBE JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Diaconis, P., Graham, R. 1992; 41 (1-2): 215-235

    View details for Web of Science ID A1992JK69500020

  • Analysis of Top to Random Shuffles Combinatorics, Probability and Computing Diaconis, P., Fill, J., Pitman, J. 1992; 1: 135-155
  • Non Parametric Binary Bayesian Regression Festschrift for Raj Bahaduhr Diaconis, P., Freedman, D. Indian Statistical Institute. 1992
  • Eigen-Analysis for Some Examples of the Metropolis Algorithm Contemporary Mathematics Diaconis, P., Hanlon, P. 1992; 138: 99-117
  • Trailing the Dovetail Shuffle to its Lair Annals of Applied Probablity Diaconis, P., Bayer, D. 1992; 2 (2): 294-313
  • Sufficiency as Statistical Symmetry Proceedings of the 100th Anniversary Americal Mathematical Society Diaconis, P. edited by Browder, F. Providence: American Mathematics Society. 1992: 15–26
  • Finite de Finetti Theorems in Linear Modules and Multivariate Analysis Scandinavian Journal of Statistics Diaconis, P., Eaton, M. L., Lauritzan, S. 1992; 19: 298-315
  • A Growth Model, A Game, An Algebra, Lagrange Inversion and Characteristic Classes Recondita Mathematics Diaconis, P., Fulton, W. 1991; 49: 95-119
  • Closed Form Summation for Classical Distributions: Variations on a Theme of Demoivre Statistical Science Diaconis, P., Zabell, S. 1991; 61 (3): 284-302
  • Geometric Bounds for Eigenvalues of Markov Chains Annals of Applied Probability Diaconis, P., Stroock, D. 1991; 1 (1): 36-61
  • STRONG STATIONARY TIMES VIA A NEW FORM OF DUALITY ANNALS OF PROBABILITY Diaconis, P., Fill, J. A. 1990; 18 (4): 1483-1522

    View details for Web of Science ID A1990EH57900003

  • ON THE UNIFORM CONSISTENCY OF BAYES ESTIMATES FOR MULTINOMIAL PROBABILITIES ANNALS OF STATISTICS Diaconis, P., Freedman, D. 1990; 18 (3): 1317-1327

    View details for Web of Science ID A1990DV56700017

  • Finite Fourier Methods: Access to Tols Probabalistic combinatorics, Proceedings of Symposia in Applied Mathematics Diaconis, P. 1990: 171–194
  • CAUCHYS EQUATION AND DEFINETTIS THEOREM SCANDINAVIAN JOURNAL OF STATISTICS Diaconis, P., Freedman, D. A. 1990; 17 (3): 235-250

    View details for Web of Science ID A1990EP37700005

  • Applications of Groups Representations to Statistical Problems Proceedings International Congress of Mathematician, Kyoto Diaconis, P. 1990: 1037–1048
  • Asymptotic Analysis of a Random Walk on a Hypercube with Many Dimensions Random Structures and Algorithms Diaconis, P., Graham, R. L., Morrison, J. A. 1990; 1: 51-72
  • Efficient Computation of the Fourier Transform on Finite Groups Journal of the American Mathematical Society Diaconis, P., Rockmore, D. 1990; 3 (2): 297-332
  • Patterned Matrices Matrix Theory and Applications: Proceedings of Symposia in Applied Mathematics, American Mathematical Society Diaconis, P. 1990: 37–58
  • Bounds for Tail Probabilities of Weighted Sums of Independent Gamma Random Variables Topics in Statistical Dependence Diaconis, P., Perlman, M. edited by Block, H. W., Sampson, A. R., Savits, T. H. Hayward, CA: Institute of Mathematical Statistics. 1990: 147–166
  • Examples for the Theory of Strong Stationary Duality with Countable State Spaces Probability in the Engineering and Informational Sciences Diaconis, P., Fill, J. 1990; 4: 157-180
  • Cauchy's Equation and de Finetti's Theorem Journal of Statistics Diaconis, P., Freedman, D. 1990; 17 (3): 235-250
  • METHODS FOR STUDYING COINCIDENCES JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION Diaconis, P., Mosteller, F. 1989; 84 (408): 853-861

    View details for Web of Science ID A1989CD46300001

  • THE 1987 WALD MEMORIAL LECTURES - A GENERALIZATION OF SPECTRAL-ANALYSIS WITH APPLICATION TO RANKED DATA ANNALS OF STATISTICS Diaconis, P. 1989; 17 (3): 949-979

    View details for Web of Science ID A1989AV32100001

  • FAIR DICE AMERICAN MATHEMATICAL MONTHLY Diaconis, P., Keller, J. B. 1989; 96 (4): 337-339

    View details for Web of Science ID A1989U246000005

  • Bounds for Tail Probabilities of Weighted Sums of Independent Gamma Random Variables Symposium on Dependence in Statistics and Probability Diaconis, P. 1989: 147–166
  • ON MERGING OF PROBABILITIES SANKHYA-THE INDIAN JOURNAL OF STATISTICS SERIES A DARISTOTILE, A., Diaconis, P., Freedman, D. 1988; 50: 363-380

    View details for Web of Science ID A1988U787800004

  • HONEST BERNOULLI EXCURSIONS JOURNAL OF APPLIED PROBABILITY Smith, L., Diaconis, P. 1988; 25 (3): 464-477

    View details for Web of Science ID A1988Q629500002

  • Application of the Method of Moments in Probability and Statistics Moments in Mathematics Proceedings of Symposia in Applied Mathematics, American Mathematical Society Diaconis, P. 1988: 125–142
  • Conditional Limit Theorems for Exponential Families with Uniform Asymptotic Estimates and Applications to de Finetti's Theorem Theoretical Probability Diaconis, P., Freedman, D. 1988; 1: 381-410
  • Recent Progress in de Finetti's Notions of Exchangeability Bayesian Statistics 3: Proceedings of the Third Valencia International Meeting Diaconis, P., Bernardo, J., et al 1988: 111–125
  • Bayesian Numerical Analysis Statistical Decision Theory and Related Topics IV Diaconis, P. edited by Berger, J., Gupta, S. New York: Springer-Verlag. 1988: 163–175
  • INEQUALITIES FOR LINEAR-COMBINATIONS OF GAMMA-RANDOM VARIABLES CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE Bock, M. E., Diaconis, P., Huffer, F. W., Perlman, M. D. 1987; 15 (4): 387-395

    View details for Web of Science ID A1987N113000008

  • WHAT IS AN ANALYSIS OF VARIANCE - DISCUSSION ANNALS OF STATISTICS Diaconis, P. 1987; 15 (3): 917-921

    View details for Web of Science ID A1987K140600005

  • RANDOM-WALKS ARISING IN RANDOM NUMBER GENERATION ANNALS OF PROBABILITY Chung, F. R., Diaconis, P., GRAHAM, R. L. 1987; 15 (3): 1148-1165

    View details for Web of Science ID A1987J563000020

  • STRONG UNIFORM TIMES AND FINITE RANDOM-WALKS ADVANCES IN APPLIED MATHEMATICS Aldous, D., Diaconis, P. 1987; 8 (1): 69-97

    View details for Web of Science ID A1987G271000005

  • TIME TO REACH STATIONARITY IN THE BERNOULLI LAPLACE DIFFUSION-MODEL SIAM JOURNAL ON MATHEMATICAL ANALYSIS Diaconis, P., Shahshahani, M. 1987; 18 (1): 208-218

    View details for Web of Science ID A1987F785700016

  • Probabilistic-Geometric Theorems Arising from the Analysis of Contingency Tables Contributions to the Theory and Application of Statistics, A Volume in Honor of Herbert Solomon Diaconis, P., Efron, B. Academic Press. 1987: 103–125
  • Fred Mosteller as a Mathematical Statistician A Statistical Model Diaconis, P., Lehmann, E. edited by Fienberg, S., Hoaglin, D., Kruskal, W., Tanur, J. New York: Springer-Verlag. 1987: 59–80
  • The Subgroup Algorithm for Generating Uniform Random Variables Probability in the Engineering and Informational Sciences Diaconis, P., Shahshahani, M. 1987; 1: 15-32
  • Projection Pursuit for Discrete Data Scandinavian Journal of Statistics Diaconis, P. 1987
  • A DOZEN DE FINETTI-STYLE RESULTS IN SEARCH OF A THEORY ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES Diaconis, P., Freedman, D. 1987; 23: 397-423

    View details for Web of Science ID A1987H929700008

  • ON SQUARE ROOTS OF THE UNIFORM-DISTRIBUTION ON COMPACT-GROUPS PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Diaconis, P., Shahshahani, M. 1986; 98 (2): 341-348

    View details for Web of Science ID A1986E191700029

  • SHUFFLING CARDS AND STOPPING-TIMES AMERICAN MATHEMATICAL MONTHLY Aldous, D., Diaconis, P. 1986; 93 (5): 333-348

    View details for Web of Science ID A1986C129400001

  • ON THE CONSISTENCY OF BAYES ESTIMATES - REJOINDER ANNALS OF STATISTICS Diaconis, P., Freedman, D. 1986; 14 (1): 63-67

    View details for Web of Science ID A1986C196800013

  • ON THE CONSISTENCY OF BAYES ESTIMATES ANNALS OF STATISTICS Diaconis, P., Freedman, D. 1986; 14 (1): 1-26

    View details for Web of Science ID A1986C196800001

  • ON INCONSISTENT BAYES ESTIMATES OF LOCATION ANNALS OF STATISTICS Diaconis, P., Freedman, D. 1986; 14 (1): 68-87

    View details for Web of Science ID A1986C196800014

  • AN ELEMENTARY PROOF OF STIRLING FORMULA AMERICAN MATHEMATICAL MONTHLY Diaconis, P., Freedman, D. 1986; 93 (2): 123-125

    View details for Web of Science ID A1986AYZ5100008

  • A Subjective Guide to Objective Chance Statistical Science Diaconis, P., Engel, E. 1986; 1: 171-174
  • Products of Random Matrices as They Arise in the Study of Random Walks on Groups Contemporary Mathematics Diaconis, P., Shahshahani, M. 1986; 50: 183-195
  • Products of Random Matrices and Computer Image Generation Contemporary Mathematics Diaconis, P., Shahshahani, M. 1986; 50: 173-182
  • Applications of Nonommutative Fourier Analysis to Probability Problems Ecolé d' Été de Probabilites de St. Flours, XV-XVII, Springer Lecture Notes in Mathematics Diaconis, P., et al Berlin: Springer-Verlag. 1986: 51–100
  • THE RADON-TRANSFORM ON Z2K PACIFIC JOURNAL OF MATHEMATICS Diaconis, P., GRAHAM, R. L. 1985; 118 (2): 323-345

    View details for Web of Science ID A1985AKA9200009

  • Bayesian Statistics as Honest Work Proceedings of the Berkeley Conference in Honor of Jerzey Neyman and Jack Kiefer Diaconis, P. edited by LeCam, L., Olshen, R. 1985: 53–64
  • Some Alternatives to Bayes' Rule Information and Group Decision Making, Proceedings of the Second University of California, Irvine Conference on Political Economy Diaconis, P., Zabell, S. edited by Grofman, B., Owen, G. 1985: 25–38
  • Theories of Data Analysis: From Magical Thinking Through Classical Statistics Exploring Data Tables, Trends and Shapes Diaconis, P. edited by Hoaglin, D., Mosteller, F., Tukey, J. New York: Wiley. 1985: 1–36
  • Quantifying Prior Opinion Bayesian Statistics 2. Proceedings of the 2nd Valencia International Meeting Diaconis, P., Ylvisaker, D. edited by Bernardo, J. M., Degroot, M. H., Lindley, D. V., Smith, A. F. 1985: 133–156
  • TESTING FOR INDEPENDENCE IN A 2-WAY TABLE - NEW INTERPRETATIONS OF THE CHI-SQUARE STATISTIC ANNALS OF STATISTICS Diaconis, P., Efron, B. 1985; 13 (3): 845-874

    View details for Web of Science ID A1985AST9500001

  • TESTING FOR INDEPENDENCE IN A 2-WAY TABLE - NEW INTERPRETATIONS OF THE CHI-SQUARE STATISTIC - REJOINDER ANNALS OF STATISTICS Diaconis, P., Efron, B. 1985; 13 (3): 905-913

    View details for Web of Science ID A1985AST9500012

  • PROJECTION PURSUIT - DISCUSSION ANNALS OF STATISTICS Diaconis, P. 1985; 13 (2): 494-496

    View details for Web of Science ID A1985AKQ9500007

  • ON NONLINEAR FUNCTIONS OF LINEAR-COMBINATIONS SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING Diaconis, P., Shahshahani, M. 1984; 5 (1): 175-191

    View details for Web of Science ID A1984SF60000013

  • ASYMPTOTICS OF GRAPHICAL PROJECTION PURSUIT ANNALS OF STATISTICS Diaconis, P., Freedman, D. 1984; 12 (3): 793-815

    View details for Web of Science ID A1984TJ80600001

  • ON INCONSISTENT BAYES ESTIMATES IN THE DISCRETE CASE ANNALS OF STATISTICS Freedman, D., Diaconis, P. 1983; 11 (4): 1109-1118

    View details for Web of Science ID A1983RV59700008

  • M and N plots Recent Advances in Statistics Diaconis, P., Friedman, J. H. edited by Rizvi, H., Rustagi, J., Siegmund, D. New York: Academic Press. 1983: 425–447
  • Frequency Properties of Bayes Rules Scientific Inference, Data Analysis, and Robustness Diaconis, P., Freedman, D. edited by Box, G., Leonard, T., Wu, C. F. New York: Academic Press. 1983: 105–115
  • The Mathematics of Perfect Shuffles Advances in Applied Mathematics Diaconis, P., Graham, R. L., Kantor, W. M. 1983; 4 (2): 175-196
  • COMPUTER-INTENSIVE METHODS IN STATISTICS SCIENTIFIC AMERICAN Diaconis, P., Efron, B. 1983; 248 (5): 116-?

    View details for Web of Science ID A1983QL31500013

  • ON THE MAXIMUM DIFFERENCE BETWEEN THE EMPIRICAL AND EXPECTED HISTOGRAMS FOR SUMS PACIFIC JOURNAL OF MATHEMATICS Diaconis, P., Freedman, D. 1982; 100 (2): 287-327

    View details for Web of Science ID A1982PG41100005

  • Bayes Rules for Location Problems Statistical Decision Theory and Related Topics III Diaconis, P., Freedman, D. edited by Gupta, S., Berger, J. 1982: 315–327
  • ON THE DIFFERENCE BETWEEN THE EMPIRICAL HISTOGRAM AND THE NORMAL CURVE, FOR SUMS .2. PACIFIC JOURNAL OF MATHEMATICS Diaconis, P., Freedman, D. 1982; 100 (2): 359-371

    View details for Web of Science ID A1982PG41100007

  • VARIABLES ON SCATTERPLOTS LOOK MORE HIGHLY CORRELATED WHEN THE SCALES ARE INCREASED SCIENCE Cleveland, W. S., Diaconis, P., McGill, R. 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.

    View details for Web of Science ID A1982NR10700041

    View details for PubMedID 17808503

  • UPDATING SUBJECTIVE-PROBABILITY JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION Diaconis, P., Zabell, S. L. 1982; 77 (380): 822-830

    View details for Web of Science ID A1982PV60500019

  • DE FINETTIS THEOREM FOR SYMMETRIC LOCATION FAMILIES ANNALS OF STATISTICS Freedman, D., Diaconis, P. 1982; 10 (1): 184-189

    View details for Web of Science ID A1982NG05200014

  • ON THE MODE OF AN EMPIRICAL HISTOGRAM FOR SUMS PACIFIC JOURNAL OF MATHEMATICS Diaconis, P., Freedman, D. 1982; 100 (2): 373-385

    View details for Web of Science ID A1982PG41100008

  • ON INCONSISTENT M-ESTIMATORS ANNALS OF STATISTICS Freedman, D. A., Diaconis, P. 1982; 10 (2): 454-461

    View details for Web of Science ID A1982NV35500010

  • ON THE STATISTICS OF VISION - THE JULESZ CONJECTURE JOURNAL OF MATHEMATICAL PSYCHOLOGY Diaconis, P., Freedman, D. 1981; 24 (2): 112-138

    View details for Web of Science ID A1981MW68200002

  • Magical Thinking in the Analysis of Scientific Data Annals of the New York Academy of Science Diaconis, P. 1981; 364: 236-244
  • Partial Exchangeability and Sufficiency Proceedings of the Indian Statistical Institute Golden Jubilee International Conference on Statistics: Applications and New Directions Diaconis, P., Freedman, D. edited by Ghosh, J. K., Roy, J. 1981: 205–236
  • On the Permanents of Complements of the Direct Sum of Identity Matrices Advances in Applied Mathematics Diaconis, P., Chung, F., Graham, R. L., Mallows, C. L. 1981; 2: 121-137
  • How Fast is the Fastest Fourier Transform Computer Science and Statistics: Proceedings of the 13th Symposium on the Interface Diaconis, P. edited by Eddy, W. F. 1981
  • ON THE HISTOGRAM AS A DENSITY ESTIMATOR - L2 THEORY ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE Freedman, D., Diaconis, P. 1981; 57 (4): 453-476

    View details for Web of Science ID A1981MJ08100002

  • THE ANALYSIS OF SEQUENTIAL EXPERIMENTS WITH FEEDBACK TO SUBJECTS ANNALS OF STATISTICS Diaconis, P., Graham, R. 1981; 9 (1): 3-23

    View details for Web of Science ID A1981LA53000002

  • THE PERSISTENCE OF COGNITIVE ILLUSIONS BEHAVIORAL AND BRAIN SCIENCES Diaconis, P., Freedman, D. 1981; 4 (3): 333-334

    View details for Web of Science ID A1981MN23200004

  • GENERATING A RANDOM PERMUTATION WITH RANDOM TRANSPOSITIONS ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE Diaconis, P., Shahshahani, M. 1981; 57 (2): 159-179

    View details for Web of Science ID A1981MB74300001

  • ON THE MAXIMUM DEVIATION BETWEEN THE HISTOGRAM AND THE UNDERLYING DENSITY ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE Freedman, D., Diaconis, P. 1981; 58 (2): 139-167

    View details for Web of Science ID A1981MS56800001

  • FINITE EXCHANGEABLE SEQUENCES ANNALS OF PROBABILITY Diaconis, P., Freedman, D. 1980; 8 (4): 745-764

    View details for Web of Science ID A1980KE73300006

  • Average Running Time of the Fast Fourier Transform Journal of Algorithms Diaconis, P. 1980; 1 (2): 187-208
  • DE FINETTI THEOREM FOR MARKOV-CHAINS ANNALS OF PROBABILITY Diaconis, P., Freedman, D. 1980; 8 (1): 115-130

    View details for Web of Science ID A1980JK96700005

  • de Finetti's Generalizations of Exchangeability Studies in Inductive Logic and Probability Diaconis, P. edited by Jeffrey, R. 1980
  • ROUNDING PERCENTAGES JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION Diaconis, P., Freedman, D. 1979; 74 (366): 359-364

    View details for Web of Science ID A1979HD79300014

  • CONJUGATE PRIORS FOR EXPONENTIAL FAMILIES ANNALS OF STATISTICS Diaconis, P., YLVISAKER, D. 1979; 7 (2): 269-281

    View details for Web of Science ID A1979GU38500003

  • SOME TAUBERIAN THEOREMS RELATED TO COIN TOSSING ANNALS OF PROBABILITY Diaconis, P., Stein, C. 1978; 6 (3): 483-490

    View details for Web of Science ID A1978FE07700010

  • STATISTICAL PROBLEMS IN ESP RESEARCH SCIENCE Diaconis, P. 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.

    View details for Web of Science ID A1978FE79500005

    View details for PubMedID 663642

  • DISTRIBUTION OF LEADING DIGITS AND UNIFORM-DISTRIBUTION MOD-1 ANNALS OF PROBABILITY Diaconis, P. 1977; 5 (1): 72-81

    View details for Web of Science ID A1977CV74200005

  • 2ND-ORDER TERMS FOR VARIANCES AND COVARIANCES OF NUMBER OF PRIME FACTORS - INCLUDING SQUARE FREE CASE JOURNAL OF NUMBER THEORY Diaconis, P., Mosteller, F., Onishi, H. 1977; 9 (2): 187-202

    View details for Web of Science ID A1977DJ18500006

  • SPEARMANS FOOTRULE AS A MEASURE OF DISARRAY JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY Diaconis, P., GRAHAM, R. L. 1977; 39 (2): 262-268

    View details for Web of Science ID A1977DY62900010

  • FINITE FORMS OF DE FINETTS THEOREM ON EXCHANGEABILITY SYNTHESE Diaconis, P. 1977; 36 (2): 271-281

    View details for Web of Science ID A1977ED80600004

  • EXAMPLES FOR THEORY OF INFINITE ITERATION OF SUMMABILITY METHODS CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES Diaconis, P. 1977; 29 (3): 489-497

    View details for Web of Science ID A1977DH79600006

  • BUFFONS PROBLEM WITH A LONG NEEDLE JOURNAL OF APPLIED PROBABILITY Diaconis, P. 1976; 13 (3): 614-618

    View details for Web of Science ID A1976CH05600022

  • Protocol Issues in Randomized Clinical Trials of a Surgical Treatment of Duodenal Ulcer Costs, Risks and Benefits of Surgery Diaconis, P. edited by Bunker, J., Barnes, B., Mosteller, F. Oxford University Press. 1976