Publications

Years

2009, 2008, 2007, 2006, 2005, 2004, 2003, 2002, 2001, 2000,
1999, 1998, 1997, 1996, 1995, 1994, 1993, 1992, 1991, 1990,
1989, 1988, 1987, 1986, 1985, 1984, 1983, 1982, 1981, 1980,
1979, 1978, 1977, 1976, 1974

2009

  1. Functions of Random Walks on Hyperplane Arrangements. With Christos A. Athanasiadis. (2009). To appear in Advances of Applied Mathematics
    arXiv:0912.1786v1 [PDF]

  2. Book Review: Probabilistic Symmetries and Invariance Principles by Olav Kallenberg, Probability and its Applications, Springer, NY. Bulletin (New Series) of the American Mathematical Society. April 2009. DOI:10.1090/S0273-0979-09-01262-2 [PDF]

  3. Carries, Shuffling, Symmetric Function. With J. Fulman. (2009). Advances of Applied Mathematics, 43(2):176-196. doi:10.1016/j.aam.2009.02.002 [PDF]

  4. Fastest Mixing Markov Chains on Graphs with Symmetries. With S. Boyd, P. Parrilo & L. Xiao. (2009). SIAM J. Optim., 20(2):792-819. doi-[link]

  5. Geometric Analysis for the Metropolis Algorithm on Lipschitz Domains. With Gilles Lebeau, à Laurent Michel. Submitted. [PDF]

  6. On adding a list of numbers (and other one-dependent determinantal processes). (2009). With A. Borodin and J. Fulman. Submitted. [PDF]

  7. Riffle shuffles of a deck with repeated cards. (2009). With Assaf, S. and Soundararajan, K. DMTCS Proceedings, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009). Submitted [PDF]

  8. Supercharacter Formulas for Pattern Groups. With N. Thiem. (2009). [PDF] Trans. Amer. Math. Soc., 361:3501-3533

  9. Threads Through Group Theory. (2009). To appear in "A Festschrift for Martin Isaacs," Contemporary Mathematics. [PDF]

  10. Threshold Graph Limits and Random Threshold Graphs. With S. Holmes and S. Janson. (2009). arXiv:0908.2448v1 [math.CO] [PDF]

2008

  1. A Rule of Thumb for Riffle Shuffling. With Assaf, S. and Soundararajan, K. (2008). To appear in: t.b.a. [PDF]

  2. Carries, Shuffling, and an Amazing Matrix. With J. Fulman. (2008). American Mathematical Monthly, 116(9):788-803. DOI: 10.4169/000298909X474864 [PDF]

  3. Gibbs sampling, exponential families and orthogonal polynomials. With With K. Khare and L. Saloff-Coste.(2008). Statistical Science, 23(2):151-178. DOI: 10.1214/07-STS252. [PDF]



  4. Comment. With E. Lehmann. (2008). JASA 103(481):16 PDF

  5. Graph Limits and Exchangeable Random Graphs. With S. Janson. (2008). Rendiconti di Matematica, Serie VII 28:33-61. [PDF]

  6. The Markov Chain Monte Carlo Revolution. (2008). Bull. Amer. Math. Soc. Nov. 2008. DOI:10.1090/S0273-0979-08-01238-X [PDF]

  7. Supercharacters and Superclasses for Algebra Groups; With I.M. Isaacs. Trans. Amer. Math. Soc., 360(5):2359-2392. MR 2373317 (2008). [PDF]

2007

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  1. On Fixed Points of Permutation. With. J. Fulman and R. Guralnick. (2007). Journal of Algebraic Combinatorics, 28:189-218 [PDF]

  2. Projection Pursuit for Discrete Data. With J. Salzman. (2007). IMS Collections - Probability and Statistics: Essays in Honor of David A. Freedman . 2:265-288. [PDF]

  3. Horseshoes in Multidimensional Scaling and Kernel Methods. With S. Goel and S. Holmes. (2007). Annals of Applied Statistics 2(3):777-807. [PDF]

  4. On Times to Quasi-Stationary for Birth and Death Processes. With L. Miclo. (2007). To appear in: t.b.a. [PDF]

  5. Hit and Run as a Unifying Device. With H. Andersen. (2007). Journal de la Société Française de Statistique, 148(4):5-28. [PDF]

  6. Dynamical Bias in the Coin Toss. With S. Holmes and R. Montgomery. SIAM Review 49(2):211-235. (2007). [PDF]

  7. Micro-local Analysis for the Metropolis Algorithm. With G. Lebeau. (2007). To appear in: Math. Z. [PDF]

  8. Stochastic Alternating Projections. With K. Khare and L. Saloff-Coste. (2007). To appear in: t.b.a. [PDF]

2006

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  1. Bayesian Analysis for Reversible Markov Chains. (2006). With S. Rolles. Annals of Statistics 34(3):1270-1292 [PDF]

  2. Fastest Mixing of Markov Chain on a Graph and a Connection to a Maximum Variance Unfolding Problem. With J. Sun, S. Boyd and L. Xiao. SIAM Review, 48(4):681-699. (2006). [PDF]

  3. Fastest Mixing of Markov Chain on Graphs With Symmetries. With P. Parrilo, S. Boyd and L. Xiao. (2006). [PDF]

  4. Fastest Mixing Markov Chain on a Path. With S. Boyd and L. Xiao. American Mathematics Monthly (2006). [PDF]

  5. Markov Bases for Noncommutative Fourier Analysis of Ranked Data. With N. Eriksson. Journal of Symbolic Computation, 41 2:182-195 (2006). [PDF]

  6. Mathematical Statistics. Princeton Companion for Mathematics. Edited by T. Gowers. Princeton University Press (2006).

  7. The Solutions to Elmsley's Problem. With R.L. Graham. Mathematics magazine (2006). [PDF]

2005

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  1. Analysis of a Bose-Einstein Markov Chain. Annales de l'Institut Henri Poincare, Prob. and Stat., 41 3:409-418 (2005). [PDF]

  2. Examples Comparing Importance Sampling and the Metropolis Algorithm; With F. Bassetti. Illinois Journal of Mathematics, 50 1:67-91 (2005). [PDF]

  3. Products of Universal Cycles; With R.L. Graham. To appear in A Gathering for Gardner, Edited by E. Demain. (2005). [PDF]

  4. Separation Cut-Offs for Death and Birth Chains; With L. Saloff-Coste. Ann. of Appl. Prob. 16 4: 2098-2122. (2005). [PDF]

  5. A Sequential Importance Sampling Algorithm for Generating Random Graphs With Prescribed Degrees; With J. Blitzstein. Submitted to Annals of Applied Probabilty (2005). [PDF]

  6. Sequential Monte Carlo Methods for Statistical Analysis of Tables. Journal of the American Statistical Association, 100 109-120. With Y. Chen, S. Holmes and J.S. Liu. (2005). [PDF]

  7. Solitaire: Man versus Machine. With X. Yan, P. Rusmeuichientong, and B. van Roy. Management Science and Engineering Stanford Technical Reports Collection, Stanford University. (2005) [PDF]

  8. What is ... a Random Matrix? Notices of the American Mathematical Society 52 1348-1349. (2005). [PDF]

2004

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  1. Fastest Mixing Markov Chain on a Graph. (2004). With S. Boyd and L. Xiao. SIAM Review 46(4):667-689. [PDF]

  2. Random Matrices, Magic Squares and Matching Polynomials. With A. Gamburd. (2004). Electronic Journal of Combinatorics 11(2) [PDF]

  3. A Super-Class Walk on Upper-Triangular Matrices. With E. Arias-Castro and R. Stanley. Journal of Algebra., 278 2:739-765 (2004). [PDF]

  4. Exchangeable Pairs and Poisson Approximation. With S. Chatterjee and E. Meckes. Electronic Encyclopedia of Probability (2004). [PDF] [PostScript]

  5. Uniqueness of the Invariant Distributions for Split-Merge Transformations and the Poisson-Dirichlet Law. With E. Mayer-Wolf, O. Zeitouni and M. Zerner. Ann. Probab. 32 1B:915-938 (2004). [PDF] [PostScript]

  6. Numerical Results for the Metropolis Algorithm. Experimental Math. 13 2:207-213 (2004). [PDF]

  7. On the Distribution of the Least Common Multiple and the Greatest Common Divisor.(2004). With P. Erdos. A Festschrift for Herman Rubin. Edited by A. Dasgupta. Institute of Mathematical Statistics Lecture Notes -- Monograph Series 45 126-137. IMS, Beachwood, OH

  8. Stein's Method for Markov Chains: First Examples. (2004). P. Diaconis and S. Holmes (eds.). Stein's Method: Expository Lectures and Applications 27-43. IMS, Beachwood, Ohio.

  9. Uses of Exchangeable Pairs in Monte Carlo Markov Chains. (2004). With C. Stein, S. Holmes, G. Reinert. In P. Diaconis, S. Holmes (eds.) Stein's Method: Expository Lectures and Applications 1-26. IMS, Beachwood, Ohio.

  10. The Markov Moment Problem and de Finettis Theorem Part I. (2004). With D. Freedman. Math. Zeitschrift, 247 1:183-199. [PDF]

  11. The Markov Moment Problem and de Finetti's Theorem Part II. (2004). With D. Freedman. Math. Zeitschrift, 247 1:201-212. [PDF]

2003

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  1. Brownian Motion and the Classical Groups; With A.D'Aristotle and C. Newman. Probability, Statisitca and their applications: Papers in Honor of Rabii Bhattacharaya. Edited by K. Athreya, et al. 97-116. Beechwood, OH: Institute of Mathematical Statistics (2003).

  2. Symmetry Analysis of Reversible Markov Chains. With S. Boyd, P. Parrilo, L. Xiao. Journal of Internet Mathematics 2 31-72. [PDF]

  3. Mathematical Developments from the Analysis of Riffle-Shuffling. In A. Fuanou, M. Liebeck (eds.) Groups Combinatorics and Geometry 73-97, World Scientific, N.J. (2003). [PDF]

  4. The Problem of Thinking Too Much. Bull Amer. Acad. Sci., 26-38. [PDF]

  5. Random Walk on Groups: Character and Geometry Groups St. Andrews, 2001. Neuman et al, ed. Cambridge: Cambridge University Press (2003). [PDF]

2002

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  1. A Different Construction of Gaussian Fields From Markov Chains: Dirichlet Covariances. With S. Evans, Ann. Inst. Henri Poincare.; Prob. and Stat, 38 6:863-878. [PDF] [PostScript]

  2. G.H. Hardy and Probability??? Bull London Math. Soc. 34 385-402 part 4. [PDF]

  3. Patterns in Eigenvalues: the 70th Gibbs Lecture. Bull. Amer. Math. Soc. 40 155-178. [PDF]

  4. Random Walk on Trees and Matchings. With S. Holmes. Electronic Jour. Probab. 7 Paper 6, 1-17. [PDF]

  5. Unitary Correlations and the Fejer Kernel. With D. Bump and J. Keller. Mathematical Physics, Analysis and Geometry, 5 101-123. [PDF] [PostScript]

  6. The Asymmetric One-Dimensional Constrained Ising Model: Rigorous Results. With D. Aldous. Jour. Statist. Physics. 107 945-975. [PDF] [PostScript]

  7. Mysteries of Cardano, the Probabilist. To appear in G. Cardano: Liber de Ludo Aleae. Gambacorta, ed.

  8. Toeplitz Minors. With D. Bump, Jour. Combin. Th. (A) 97 2:252-271. [PDF]

2001

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  1. Statistical Problems Involving Permutation with Restricted Positions. With R. L. Graham and S. Holmes. In State of the Art in Probability and Statistics. M. de Gunst, C. Klaassen, A. Van der Vaart, ed. Inst. Math. Statis. Hayward. 195-222. [PDF] [PostScript]

  2. A Geometric Interpretation of the Metropolis-Hastings Algorithm. With L. Billera,. Statis. Sci., 16 4:335-339. [PDF] [PostScript]

  3. Linear Functionals of Eigenvalues of Random Matrices. With S. Evans, Trans. of Amer. Math. Soc., 353 7:2615-33. [PDF]

  4. Combinatorics for the East Model. With R.L. Graham and F. Chung, Adv. Appl. Math. 27 1:192-206. [PDF]

  5. Chutes and Ladders Markov Chains. With R. Durret, Jour. Th. Prob., 14 3:899-926. [PDF]

2000

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  1. Bounds for Kac's Master Equation. With L. Saloff-Coste, Communications Math. Phys., 209 729-55. [PDF]

  2. Analysis of a Nonreversible Markov Chain Sampler. With S. Holmes and R. Neal, Ann. Appl. Probab. 10 3:726-52. [PostScript]

  3. Immanants and Finite Point Processes. With S. Evans, Jour. Combin. Th. Series A 91 1-2: 305-321. [PDF] [PostScript]

  4. A Bayesian Peek into Feller I. With S. Holmes. Sankhya A, 64 820-841. [PDF]

  5. Analysis of Systematic Scan Metropolis Algorithms Using Iwahori-Hecke Algebra Techniques. With A. Ram, Michigan Journal of Mathematics, 48 1:157-190. [PDF]

1999

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  1. Random Walks and Plane Arrangements in Three Dimensions. With L. Billera and K. Brown, Amer. Math. Monthly, 106 6:502-24. [PDF]

  2. Longest Increasing Subsequences: From Patience Sorting to the Baik-Dieft-Johansson Theorem. With D. Aldous, Bull. Amer. Math. Soc. 36 413-32.[PDF] [PostScript]

  3. Iterated Random Functions. With D. Freedman, SIAM Review, 41 1:45-76. [PDF]

  4. New Tests of the Correspondence Between Unitary Eigenvalues and the Zeros of Riemann's Zeta Functions. With M. Coram. Jour. Physics A: Math. and General, 36 12:2883-2906. [PDF]

1998

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  1. Random Walk and Hyperplane Arrangements. With K. Brown, Ann. Probab., 26 4:1813-54. [PDF]

  2. Algebraic Algorithms for Sampling from Conditional Distributions. With B. Sturmfels, Ann. Statist., 26 1:363-97. [PDF]

  3. Lattice Walks and Primary Decomposition. With D. Eisenbud and B. Sturmfels, Mathematical Essays in Honor of Gian-Carlo Rota, B. Sagan and R.P. Stanley (eds.), 173-94

  4. Consistency of Bayes Estimates for Nonparametric Regression: Normal Theory. With D. Freedman, Bernoulli, 4 4:411-444. [PDF]

  5. What Do We Know About the Metropolis Algorithm? With L. Saloff-Coste, Jour. Comp. System Sciences, 57 20-36. [PDF]

  6. Walks on Generating Sets of Groups. With L. Saloff-Coste, Inventiones Math., 134 2:251-300. [PDF]

  7. The Graph of Generating Sets of an Abelian Group. With R. L. Graham, Colloquium Math., 31-8. [PDF]

  8. A Place for Philosophy? The Rise of Modeling in Statistics,Quar. Jour. Appl. Math., 56 4:797-805.

  9. From Shuffling Cards to Walking Around the Building. An Introduction to Markov Chain Theory, Proc. Int. Congress, Berlin, Volume I, Plenary Lectures, 187-204. [PDF]

  10. Magic. In Routledge Encyclopedia of Philosophy

  11. Matchings and Phylogenetic Trees. With S. Holmes. Proc. Nat. Acad. Sci. of the U.S.A. 95 25:14600-14602. [PDF]

1997

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  1. Are There Still Things to Do in Bayesian Statistics? With S. Holmes, Erkenntnis: Probability, Dynamics and Causality, 45 2-3:145-58.

  2. A Non-Measurable Tail Set. With D. Blackwell. In Statistics, Probability and Game Theory, Papers in Honor of David Blackwell. T. Ferguson et al. (eds.). IMS, Hayward, pp. 1-5.

  3. Consistency of Bayes Estimates for Non-Parametric Regression: A Review. With D. Freedman. In D. Pollard, et al. (eds.), Festschrift for Lucien LeCam, pp. 157-66, Springer, New York

1996

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  1. Random Walks on Finite Groups: A Survey of Analytic Techniques. With L. Saloff-Coste, Prob. Meas. on Groups XI, H. Heyer (ed.), World Scientific Singapore, pp. 44-75. [PDF]

  2. The Cutoff Phenomenon in Finite Markov Chains, Proc. Nat. Acad. Sci. of U.S.A., 93 4:1659-1664. [PDF]

  3. Primitive Partition Identities. With R.L. Graham and B. Sturmfels, Combinatorics - Paul Erdos is Eighty , Bolyai Society Mathematical Studies, Budapest, 2 173-192. [PDF]

  4. Nash Inequaltites for Finite Markov Chains. With L. Saloff-Coste, Journal of Theoretical Probability, 9 459-510. [PS]

  5. Walks on Generating Sets of Abelian Groups. With L. Saloff-Coste, Prob. Theory Related Fields, 105 393-421. [PDF]

  6. Logarithmic Sobolev Inequalities for Finite Markov Chains. With L. Saloff-Coste, Ann. Appl. Prob, 6 695-750. [PDF]

  7. Metrics on Compositions and Coincidences Among Renewal Sequences. With S. Holmes, S. Janson, S.P. Lalley and R. Pemantle. In D. Aldous, R. Pemantle (eds.), Random Discrete Structures, IMA publications, Springer Verlag, New York, pp. 81-102

  8. Some New Tools for Dirichlet Priors, in J. Bernardo (ed.) Bayesian Statistics 5, New York: Clarendon Press, pp. 97-106

1995

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  1. An Application of Harnack Inequalities to Random Walk on Nilpotent Quotients. With L. Saloff-Coste, Jour. Fourier Analysis Applications, Kahane Special Issue, 189-207

  2. Riffle Shuffles, Cycles and Descents. With M. McGrath and J. Pitman, Combinatorica 15 1:11-29. [PDF]

  3. What Do We Know About the Metropolis Algorithm?. With L. Saloff-Coste, Proc. 27 Symp. Theory Comp., 112-129. [PDF]

  4. Hammersley's Interacting Particle Process and Longest Increasing Subsequences. With D. Aldous. Prob. Theory Related Fields 103 199-213. Abstract [PDF] [PostScript]

  5. NonParametric Binary Regression with Random Covariates. With D. Freedman. Prob. and Math. Stat., 15 243-273. [PDF]

1994

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  1. Spectral Analysis for Discrete Longitudinal Data. With L. Beckett, Advances in Appl. Math, 103 107-128. [PDF]

  2. On the Eigenvalues of Random Matrices. With Mehrdad Shahshahani, Jour. Appl. Prob, Special 31A 49-62. [PDF]

  3. Gray Codes for Randomization Procedures. With S. Holmes, Statistics and Computing, 4 287-302. [PDF]

  4. Three Examples of the Markov Chain Monte Carlo Method. With S. Holmes, Discrete Probability and Algorithms, D. Aldous et al (eds.). 43-56. Springer-Verlag, New York. [PDF]

  5. Rectangular Arrays With Fixed Margins. With A. Gangolli, Discrete Probability and Algorithms, D. Aldous et al (eds.). 15-42, Springer-Verlag, New York, Abstract

  6. Moderate Growth and Random Walk on Finite Groups, With L. Saloff-Coste, Geom. Func. Anal., 4 1:1-36.

1993

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  1. Non-Parametric Binary Bayesian Regression: A Bayesian Approach. With D. Freedman, Ann. Stat., 21 2108-2137. [PDF]

  2. Forward to the Book: Probability Models and Statistical Analyses For Ranking Data, M. Fligner, J. Verducci ed. , xvii-xxiii, Springer Lecture Notes in Statistics, 80 Springer, New York

  3. Comparison Techniques for Random Walk on Finite Groups. With L. Saloff-Coste, Ann. Prob., 21 4:2131-2156. [PDF]

  4. Comparison Theorems for Reversible Markov Chains. With L. Saloff-Coste, Ann. Appl. Prob, 3 3:696-730. [PDF]

  5. Efficient Computation of Isotypic Projections for the Symmetric Group. With D. Rockmore, DIMACS Series in Disc. Math. and Theor. Comp. Sci. L. Finkelstein and W. Kantor (eds.), 11 87-104.

1992

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  1. Trailing the Dovetail Shuffle to its Lair. With D. Bayer, Ann. Appl. Prob., 2 2:294-313. [PDF]

  2. Sufficiency as Statistical Symmetry, Proc. 100th Anniversary Americal Mathematical Society, F. Browder (ed.) Mathematics into the Twenty First Century, pg. 15-26, Amer. Math. Soc., Providence

  3. Non Parametric Binary Bayesian Regression. With D. Freedman, Festschrift for Raj Bahaduhr, Indian Statistical Institute

  4. Universal Cycles for Combinatorial Structures. With F. Chung, R.L. Graham, Discrete Math, 110 1-3:43-59. [PDF]

  5. Finite de Finetti Theorems in Linear Modules and Multivariate Analysis, With M.L. Eaton and S. Lauritzan, Scand. Jour. Statist., 19 289-315

  6. An Affine Walk on the Hypercube. With R.L. Graham, Quat. Jour. Analysis, 411-2:215-235. [PDF]

  7. Binomial Coefficient Codes Over GF(2). With R.L. Graham, Discrete Math., 106-107 181-188. [PDF]

  8. Analysis of Top to Random Shuffles. With J. Fill and J. Pitman. Combinatorics, Probability Computing, 1 135-155. [PDF]

  9. Eigen-Analysis for Some Examples of the Metropolis Algorithm, With P. Hanlon, Contemporary Math., 138 99-117.

1991

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  1. Geometric Bounds for Eigenvalues of Markov Chains. With D. Stroock, Ann. Appl. Prob., 1 1:36-61. [PDF]

  2. A Growth Model, A Game, An Algebra, Lagrange Inversion and Characteristic Classes. With W. Fulton. Recondita Math., 49 95-119. [PDF]

  3. Closed Form Summation for Classical Distributions: Variations on a Theme of Demoivre. With S. Zabell, Statistical Sci., 61 3:284-302. [PDF]

1990

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  1. Bounds for Tail Probabilities of Weighted Sums of Independent Gamma Random Variables. With M. Perlman, In Topics in Statistical Dependence, H.W. Block et al (eds.), Institute of Mathematical Statistics, Hayward Ca., 147-166

  2. Asymptotic Analysis of a Random Walk on a Hypercube With Many Dimensions. With R.L. Graham and J. A. Morrison, Random Structures and Algorithms, 1 51-72. [PDF]

  3. Patterned Matrices. Matrix Theory and Applications: Proc. Sympos. Appl. Math., Amer. Math. Soc., 40 37-58

  4. On the Uniform Consistency of Bayes Estimates for Multinomial Probabilities, With D. Freedman, Ann. Stat., 18 3:1317-1327. [PDF]

  5. Efficient Computation of the Fourier Transform on Finite Groups. With D. Rockmore, Journ. Amer. Math. Soc., 3 2:297-332. [PDF] [PostScript]

  6. Examples for the Theory of Strong Stationary Duality with Countable State Spaces. With J. Fill, Prob. Engin. Info. Sci., 4 157-180.

  7. Strong Stationary Times Via a New Form of Duality. With J. Fill, Ann. Prob., 18 4:1483-1522. [PDF]

  8. Applications of Groups Representations to Statistical Problems, Proc. International Congress of Mathematician, Kyoto, II 1037-1048, Springer, TOKYO

  9. Finite Fourier Methods: Access to Tools, In Probabalistic combinatorics, Proc. Symposia Appl. Math., B. Bollabos (ed), 44 Amer. Math. Soc. Providence, R.I., 171-194.

  10. Cauchy's Equation and de Finetti's Theorem. With D. Freedman, Jour. Statist., 173:235-250

1989

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  1. A Generalization of Spectral Analysis with Application to Ranked Data, Ann. Stat., 17 3:949-979. [PDF]

  2. Applications of Murphy's Elements. With C. Greene. (1989). Stanford Technical Report, No.335. [PDF]

  3. Fair Dice. With J. Keller, American Math. Monthly, 96 337-339. [PDF]

  4. Methods for Studying Coincidences. With F. Mosteller, Jour. Amer. Statist. Ann., 84 408:853-861. [PDF]

  5. Bounds for Tail Probabilities of Weighted Sums of Indepedent Gamma Random Variables. In Symposium on Dependence in Statistics and Probability. IMS Lecture Notes Monogr. Ser. 16, Hayward,147-166.

1988

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  1. Bayesian Numerical Analysis, Statistical Decision Theory and Related Topics IV , J. Berger, S. Gupta (eds.), 1163-175, Springer-Verlag, New York. [PDF]

  2. Application of the Method of Moments in Probability and Statistics, In Moments in Mathematics Proc. Symp Appl. Math., Amer. Math. Soc., 37 125-142

  3. Group Representations in Probability and Statistics. With S. Gupta (ed.). IMS Lecture Notes - Monograph Series, 11 Institute of Mathematical Statistics, Hawyard Ca.

  4. Conditional Limit Theorems for Exponential Families with Uniform Asymptotic Estimates and applications to de Finetti's Theorem. With D. Freedman, J. Theoretical Prob., 1 381-410.

  5. Honest Bernoulli Excursions. With L. Smith, Journ. Applied Prob., 25 3:464-477. [PDF]

  6. On Merging of Probabilities. With A. D'Aristotile and D. Freedman, Sankhya, Series A, 50 3:363-380.

  7. Recent Progress in de Finetti's Notions of Exchangeability, Bayesian Statistics, 3 J. Bernardo, et al (eds.), Oxford Press, Oxford, 111-125. [PDF]

1987

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  1. Time to Reach Stationarity in the Bernoulli-Laplace Diffusion Model, With M. Shahshahani, SIAM J. Math'l Analysis, 18 1:208-218. [PDF]

  2. Probabilistic-Geometric Theorems Arising from the Analysis of Contingency Tables. With B. Efron, Contributions to the Theory and Application of Statistics, A Volume in Honor of Herbert Solomon, Academic Press, 103-125. [PDF]

  3. Fred Mosteller as a Mathematical Statistician. With E. Lehmann, A Statistical Model, S. Fienberg, D. Hoaglin, W. Kruskal, J. Tanur, (eds.), 59-80 Springer-Verlag, New York

  4. Projection Pursuit for Discrete Data, Scand. J. Stat.

  5. Random Walks Arising in Random Number Generation, With F. Chung and R. L. Graham, Ann. Prob., 15 3: 1148-1165. [PDF]

  6. Strong Uniform Times and Finite Random Walks. With D. Aldous, Advances in Applied Math., 8 1:69-97.

  7. The Subgroup Algorithm for Generating Uniform Random Variables, With M. Shahshahani, Prob. in Eng. and Info. Sci., 1 15-32

  8. A Dozen de Finetti-style Results in Search of a Theory. With D. Freedman, Ann. Inst. Henri Poincaré, Probabilités et Statistiques, 23 Sup.2:397-423,

  9. Inequalities for Linear Combinations of Gamma Random Variables. With M. E. Bock and F. Huffer, Canadian J. Stat., 15 387-395.

1986

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  1. On Inconsistent Bayes Estimates of Location. With D. Freedman, Ann. Stat., 14 1:68-87. [PDF]

  2. Products of Random Matrices and Computer Image Generation. With M. Shahshahani, Contemporary Math., 50 173-182

  3. Products of Random Matrices as They Arise in the Study of Random Walks on Groups. With M. Shahshahani, Contemporary Math., 50 183-195

  4. On the Consistency of Bayes Estimates. With D. Freedman, Ann. Stat., 14 1:1-26. [PDF]

  5. An Elementary Proof of Stirling's Formula. With D. Freedman, Amer. Math'l Monthly, 93 123-125.

  6. Shuffling Cards and Stopping Times. With D. Aldous, Amer. Math'l Monthly, 93 5:333-348. [PDF]

  7. Applications of Nonommutative Fourier Analysis to Probability Problems. P. Diaconis et al, Ecolé d' Été de Probabilites de St. Flours, XV-XVII, Springer Lecture Notes in Mathematics 1362 51-100. Springer-Verlag, Berlin

  8. A Subjective Guide to Objective Chance, With E. Engel, Statistical Science, 1 171-174

  9. On Square Roots of the Uniform Distribution on Compact Groups, With M. Shahshahani, Proc. Amer. Math'l Society, 98 341-348. [PDF]

1985

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  1. Quantifying Prior Opinion. With D. Ylvisaker, Bayesian Statistics 2. Proc. 2nd Valencia Int'l Meeting, 9-83. J. M. Bernardo, M. H. Degroot, D. V. Lindley, A. F. M. Smith (eds.) North-Holland, Amsterdam 133-156.

  2. Some Alternatives to Bayes' Rule. With S. Zabell, In Information and Group Decision Making, Proc. Second Univ. of Calif. Irvine Conf. Political Economy, B. Grofman, G. Owen (eds.) Jai Press, Greenwich, CT, 25-38. [PDF]

  3. Theories of Data Analysis: From Magical Thinking Through Classical Statistics, Exploring Data Tables, Trends and Shapes, D. Hoaglin, F. Mosteller, J. Tukey (eds.) Wiley, New York, 1-36. [PDF]

  4. Bayesian Statistics as Honest Work, Proc. Berkeley Conf. in Honor of Jerzey Neyman and Jack Kiefer, Volume I. L. LeCam, R. Olshen (eds.) Wadsworth, 53-64.

  5. Testing for Independence in a Two-Way Table: New Interpretations of the Chi-Square Statistic. With B. Efron, Ann. Stat., 13 3:845-913. [PDF]

  6. The Radon Transform on Z^k_2 . With R. L. Graham, Pacific J. Math., 118 323-345. [PDF]

1984

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  1. On Nonlinear Functions of Linear Combinations. With M.Shahshahani, SIAM J. Scientific. Comput., 5 1:175-191. [PDF]

  2. Asymptotics of Graphical Projection Pursuit. With D. Freedman, Ann. Stat., 12 3:793-815. [PDF]

1983

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  1. The Mathematics of Perfect Shuffles. With R. L. Graham and W. M. Kantor, Advances in Applied Math., 4 2:175-196. [PDF]

  2. M and N plots. With J. H. Friedman, Recent Advances in Statistics , H. Rizvi, J. Rustagi, D. Siegmund (eds.), Academic Press, New York, 425-447 [PDF]

  3. Computer Intensive Methods in Statistics. With B. Efron, Scientific American , 248 116-130.

  4. On Inconsistent Bayes Estimates in the Discrete Case. With D. Freedman, Ann. Stat., 11 4:1109-1118. [PDF]

  5. Frequency Properties of Bayes Rules. With D. Freedman, In Scientific Inference, Data Analysis, and Robustness, G. Box, T. Leonard, C. F. Wu (eds.). Academic Press, New York, 105-115.

1982

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  1. On the Maximum Difference Between the Empirical and Expected Histograms for Sums. With D. Freedman, Pacific J. Math., 100 2:287-327. [PDF]

  2. On the Difference Between the Empirical Histogram and the Normal Curve for Sums, Part II. With D. Freedman, Pacific J. Math., 100 2:359-371 (1982). [PDF]

  3. On the Mode of an Empirical Histogram for Sums. With D. Freedman, Pacific J. Math., 100 2:373-385. [PDF]

  4. de Finetti's Theorem for Symmetric Location Families, With D. Freedman, Ann. Stat., 10 1:84-189. [PDF]

  5. On Inconsistent M -Estimator. With D. Freedman, Ann. Stat., 10 2:454-461. [PDF]

  6. Bayes Rules for Location Problems. With D. Freedman, Statistical Decision Theory and Related Topics III, S. Gupta, J. Berger (ed.), 315-327

  7. Variables on Scatterplots Look More Highly Correlated When the Scales are Increased. With W. S. Cleveland and R. McGill, Science, 216 4550:1138-1141

  8. Updating Subjective Probability. With S. Zabell, JASA, 77 380:822-830. [PDF]

1981

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  1. Partial Exchangeability and Sufficiency. With D. Freedman, Proc. Indian Stat. Inst. Golden Jubilee Int'l Conf. Stat.: Applications and New Directions , J. K. Ghosh and J. Roy (eds.), Indian Statistical Institute, Calcutta, 205-236. [PDF]

  2. The Analysis of Sequential Experiments With Feedback to Subjects. With R.L. Graham, Ann. Stat., 9 1:3-23. [PDF]

  3. Magical Thinking in the Analysis of Scientific Data, Ann. New York Academy of Sci., 364 236-244

  4. On the Permanents of Complements of the Direct Sum of Identity Matrices. With F. Chung, R. L. Graham and C. L. Mallows. Advances in Applied Math., 2 121-137. [PDF]

  5. On the Statistics of Vision: The Julesz Conjecture. With D. Freedman, J. Math'l Psychology , 24 2:112-138. [PDF]

  6. Generating a Random Permutation with Random Transpositions, With M. Shahshahani, Z. Wahr. verw. Gebiete, 57 2:159-179

  7. On the Histogram as a Density Estimator: L_2 Theory, With D. Freedman, Z. Wahr. verw. Gebiete, 57 453-476

  8. On the Maximum Deviation Between the Histogram and the Underlying Density. With D. Freedman, Z. Wahr. verw. Gebiete, 58 139-167

  9. The Persistence of Cognitive Illusions: A Rejoinder to L. J. Cohen. With D. Freedman, Behavioral and Brain Sci., 4 333-334

  10. How Fast is the Fastest Fourier Transform? In Computer Science and Statistics: Proceedings of the 13th Symposium on the Interface, W.F. Eddy (ed.), New York: Springer-Verlag, pp. 43-4

1980

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  1. Finite Exchangeable Sequences. With D. Freedman, Ann. Prob., 8 4:745-764. [PDF]

  2. de Finetti's Theorem for Markov Chains. With D. Freedman, Ann. Prob., 8 115-130. [PDF]

  3. Average Running Time of the Fast Fourier Transform, Jour. of Algorithms , 1 2:187-208.

  4. de Finetti's Generalizations of Exchangeability. With D. Freedman, Studies in Inductive Logic and Probability, Volume II, (R. Jeffrey, ed.).

1979

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  1. Conjugate Priors for Exponential Families, With D. Ylvisaker, Ann. Stat., 7 2:269-281. [PDF]

  2. On Rounding Percentages. With D. Freedman, JASA, 74 366:359-364. [PDF]

1978

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  1. Some Tauberian Theorems Related to Coin Tossing. With C. Stein. Ann. Prob. 6 3:483-90. [PDF]

  2. Statistical Problems in ESP Research. With C.T. Tart, H.E. Puthoff, and R. Targ. Science Magazine, 202 4373:1145-6. [PDF].

1977

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  1. Second-order Terms for the Variances and Covariances of the Number of Prime Factors - Including the Square Free Case. With F. Mosteller and H. Onishi. Journ. Number Theory 9 2:187-202. [PDF]

  2. Finite Forms of de Finetti's Theorem on Exchangeability, Synthese, 36 2:271-81.

  3. The Distribution of Leading Digits and Uniform Distribution Mod 1. Ann. Prob. 5 1:72-81. [PDF]

  4. Examples for the Theory of Infinite Iteration of Summability Methods. Canadian Journ. Math. 29 489-97.

  5. Spearman's Footrule as a Measure of Disarray. With R.L. Graham. Journ. Royal Stat'l Soc. Series B (Methodological), 39 2:262-8. [PDF]

1976

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  1. Buffon's Problem with a Long Needle. J. Applied Prob. 13 3:614-618. [PDF]

  2. Protocol issues in Randomized Clinical Trials of Surgical Treatment of Duodenal Ulcer. Costs, Risks and Benefi ts of Surgery (Barnes, Bunker, Mosteller, eds.), Oxford University Press. Joint with faculty Group on ulcer surgery.

1974

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  1. PhD Dissertation: Weak and Strong Averages in Probability and the Theory of Numbers, Harvard University, Cambridge, Massachusetts. May, 1974. [PDF]