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1

Poisson Approximation and the Chen-Stein Method

Arratia, Richard, Goldstein, Larry, Gordon, Louis

Journal:

Statistical Science

Year:

1990

File:

PDF, 3.39 MB

1990

2

An Erdös-Rényi law with shifts

Richard Arratia, Michael S Waterman

Journal:

Advances in Mathematics

Year:

1985

Language:

english

File:

PDF, 539 KB

english, 1985

3

Stochastic Scrabble: Large Deviations for Sequences with Scores

Richard Arratia, Pricilla Morris and Michael S. Waterman

Journal:

Journal of Applied Probability

Year:

1988

Language:

english

File:

PDF, 1.07 MB

english, 1988

4

The Poisson–Dirichlet Distribution and the Scale-Invariant Poisson Process

ARRATIA, RICHARD, BARBOUR, A. D., TAVARÉ, SIMON

Journal:

Combinatorics Probability & Computing

Year:

1999

Language:

english

File:

PDF, 199 KB

english, 1999

5

Probability Approximations via the Poisson Clumping Heuristic.by D. Aldous;Poisson Approximation.by A. D. Barbour; L. Holst; S. Janson

Review by: Richard Arratia and Simon Tavare

Journal:

The Annals of Probability

Year:

1993

Language:

english

File:

PDF, 925 KB

english, 1993

6

Exploiting the Feller Coupling for the Ewens Sampling Formula

Arratia, Richard, Barbour, A. D., Tavaré, Simon

Journal:

Statistical Science

Year:

2016

Language:

english

File:

PDF, 65 KB

english, 2016

7

Connecting evolutionary morphology to genomics using ontologies: a case study from Cypriniformes including zebrafish

Paula M. Mabee, Gloria Arratia, Miles Coburn, Melissa Haendel, Eric J. Hilton, John G. Lundberg, Richard L. Mayden, Nelson Rios, Monte Westerfield

Journal:

Journal of Experimental Zoology Part B: Molecular and Developmental Evolution

Year:

2007

Language:

english

File:

PDF, 282 KB

english, 2007

8

The distribution of clusters in random graphs

Richard Arratia, Eric S Lander

Journal:

Advances in Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 697 KB

english, 1990

9

Improving the stability of Sb doped Sn oxides electrode thermally synthesized by using an acid ionic liquid as solvent

Carlos Carlesi Jara, Giancarlo Richard Salazar-Banda, Rodrigo Schrebler Arratia, Javier Silva Campino, Maik Irrazábal Aguilera

Journal:

Chemical Engineering Journal

Year:

2011

Language:

english

File:

PDF, 1.33 MB

english, 2011

10

The interlace polynomial of a graph

Richard Arratia, Béla Bollobás, Gregory B. Sorkin

Journal:

Journal of Combinatorial Theory, Series B

Year:

2004

Language:

english

File:

PDF, 397 KB

english, 2004

11

Euler circuits and DNA sequencing by hybridization

Richard Arratia, Béla Bollobás, Don Coppersmith, Gregory B. Sorkin

Journal:

Discrete Applied Mathematics

Year:

2000

Language:

english

File:

PDF, 305 KB

english, 2000

12

Limit Theorems for Combinatorial Structures via Discrete Process Approximations

Richard Arratia, Simon Tavaré

Journal:

Random Structures & Algorithms

Year:

1992

Language:

english

File:

PDF, 951 KB

english, 1992

13

A Two-Variable Interlace Polynomial

Richard Arratia, Béla Bollobás†, Gregory B. Sorkin

Journal:

Year:

2004

Language:

english

File:

PDF, 252 KB

english, 2004

14

On the Singularity of Random Bernoulli Matrices— Novel Integer Partitions and Lower Bound Expansions

Richard Arratia, Stephen DeSalvo

Journal:

Annals of Combinatorics

Year:

2013

Language:

english

File:

PDF, 399 KB

english, 2013

15

Genomic mapping by anchoring random clones: A mathematical analysis

Arratia, Richard, Lander, Eric S., Tavaré, Simon, Waterman, Michael S.

Journal:

Year:

1991

Language:

english

File:

PDF, 2.06 MB

english, 1991

16

Phase Transitions in Sequence Matches and Nucleic Acid Structure

Michael S. Waterman, Louis Gordon and Richard Arratia

Journal:

Proceedings of the National Academy of Sciences

Year:

1987

Language:

english

File:

PDF, 607 KB

english, 1987

17

Central Limit Theorem for Renewal Theory for Several Patterns

TANUSHEV, MIROSLAV S., ARRATIA, RICHARD

Journal:

Journal of Computational Biology

Year:

1997

Language:

english

File:

PDF, 929 KB

english, 1997

18

Poisson Process Approximation for Sequence Repeats, and Sequencing by Hybridization

ARRATIA, RICHARD, MARTIN, DANIELA, REINERT, GESINE, WATERMAN, MICHAEL S.

Journal:

Journal of Computational Biology

Year:

1996

Language:

english

File:

PDF, 5.08 MB

english, 1996

19

Critical Phenomena in Sequence Matching

Richard Arratia and Michael S. Waterman

Journal:

The Annals of Probability

Year:

1985

Language:

english

File:

PDF, 1024 KB

english, 1985

20

Symmetric Exclusion Processes: A Comparison Inequality and a Large Deviation Result

Richard Arratia

Journal:

The Annals of Probability

Year:

1985

Language:

english

File:

PDF, 689 KB

english, 1985

21

Limiting Point Processes for Rescalings of Coalescing and Annihilating Random Walks on Zd

Richard Arratia

Journal:

The Annals of Probability

Year:

1981

Language:

english

File:

PDF, 1.79 MB

english, 1981

22

The Motion of a Tagged Particle in the Simple Symmetric Exclusion System on Z

Richard Arratia

Journal:

The Annals of Probability

Year:

1983

Language:

english

File:

PDF, 1013 KB

english, 1983

23

Bounded size bias coupling: a Gamma function bound, and universal Dickman-function behavior

Arratia, Richard, Baxendale, Peter

Journal:

Probability Theory and Related Fields

Year:

2015

Language:

english

File:

PDF, 282 KB

english, 2015

24

Poisson Process Approximations for the Ewens Sampling Formula

Richard Arratia, A. D. Barbour and Simon Tavaré

Journal:

The Annals of Applied Probability

Year:

1992

Language:

english

File:

PDF, 1.35 MB

english, 1992

25

A probabilistic approach to analytic arithmetic on algebraic function fields

ARRATIA, RICHARD, BARBOUR, A. D., TAVARÉ, SIMON

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

2005

Language:

english

File:

PDF, 392 KB

english, 2005

26

Poisson Approximation and the Chen-Stein Method

Richard Arratia, Larry Goldstein and Louis Gordon

Journal:

Statistical Science

Year:

1990

Language:

english

File:

PDF, 2.68 MB

english, 1990

27

A Tale of Three Couplings: Poisson–Dirichlet and GEM Approximations for Random Permutations

ARRATIA, RICHARD, BARBOUR, A. D., TAVARÉ, SIMON

Journal:

Combinatorics Probability & Computing

Year:

2006

Language:

english

File:

PDF, 439 KB

english, 2006

28

The Cycle Structure of Random Permutations

Richard Arratia and Simon Tavare

Journal:

The Annals of Probability

Year:

1992

Language:

english

File:

PDF, 1.22 MB

english, 1992

29

Local Central Limit Theorems, the High-Order Correlations of Rejective Sampling and Logistic Likelihood Asymptotics

Richard Arratia, Larry Goldstein and Bryan Langholz

Journal:

The Annals of Statistics

Year:

2005

Language:

english

File:

PDF, 3.04 MB

english, 2005

30

[Poisson Approximation and the Chen-Stein Method]: Rejoinder

Richard Arratia, Larry Goldstein and Louis Gordon

Journal:

Statistical Science

Year:

1990

Language:

english

File:

PDF, 439 KB

english, 1990

31

Total Variation Asymptotics for Poisson Process Approximations of Logarithmic Combinatorial Assemblies

Richard Arratia, Dudley Stark and Simon Tavare

Journal:

The Annals of Probability

Year:

1995

Language:

english

File:

PDF, 2.12 MB

english, 1995

32

How Likely is an I.I.D. Degree Sequence to Be Graphical?

Richard Arratia and Thomas M. Liggett

Journal:

The Annals of Applied Probability

Year:

2005

Language:

english

File:

PDF, 955 KB

english, 2005

33

The Number of Components in a Logarithmic Combinatorial Structure

Richard Arratia, A. D. Barbour and Simon Tavaré

Journal:

The Annals of Applied Probability

Year:

2000

Language:

english

File:

PDF, 2.08 MB

english, 2000

34

A Phase Transition for the Score in Matching Random Sequences Allowing Deletions

Richard Arratia and Michael S. Waterman

Journal:

The Annals of Applied Probability

Year:

1994

Language:

english

File:

PDF, 2.99 MB

english, 1994

35

An Extreme Value Theory for Sequence Matching

Richard Arratia, Louis Gordon and Michael Waterman

Journal:

The Annals of Statistics

Year:

1986

Language:

english

File:

PDF, 1.83 MB

english, 1986

36

Theoretical exploration of Seleno and Tellurophenols as a promising alternative to sulfur ligands in the anchoring to gold (111) materials

Miranda-Rojas, Sebastian Esteban, Salazar-Molina, Richard, Kaestner, Johannes, Arratia-Perez, Ramiro, Mendizabal, Fernando

Journal:

Year:

2015

Language:

english

File:

PDF, 6.32 MB

english, 2015

37

Site Recurrence for Annihilating Random Walks on Zd

Richard Arratia

Journal:

The Annals of Probability

Year:

1983

Language:

english

File:

PDF, 743 KB

english, 1983

38

On the Random Sampling of Pairs, with Pedestrian Examples

Arratia, Richard, DeSalvo, Stephen

Journal:

Advances in Applied Probability

Year:

2015

Language:

english

File:

PDF, 167 KB

english, 2015

39

On random polynomials over finite fields

Arratia, Richard, Barbour, A. D., Tavaré, Simon

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

1993

Language:

english

File:

PDF, 1.07 MB

english, 1993

40

Probabilistic Divide-and-Conquer: A New Exact Simulation Method, With Integer Partitions as an Example

ARRATIA, RICHARD, DeSALVO, STEPHEN

Journal:

Combinatorics Probability & Computing

Year:

2016

Language:

english

File:

PDF, 221 KB

english, 2016

41

On Poisson–Dirichlet Limits for Random Decomposable Combinatorial Structures

ARRATIA, RICHARD, BARBOUR, A. D., TAVARÉ, SIMON

Journal:

Combinatorics Probability & Computing

Year:

1999

Language:

english

File:

PDF, 197 KB

english, 1999

42

A Note on Distributional Equality in the Cyclic Tour Property for Markov Chains

TANUSHEV, MIROSLAV, ARRATIA, RICHARD

Journal:

Combinatorics Probability & Computing

Year:

1997

Language:

english

File:

PDF, 115 KB

english, 1997

43

Asymptotic distribution for the birthday problem with multiple coincidences, via an embedding of the collision process

Arratia, Richard, Garibaldi, Skip, Kilian, Joe

Journal:

Random Structures & Algorithms

Year:

2016

Language:

english

File:

PDF, 196 KB

english, 2016

44

Scale-free and power law distributions via fixed points and convergence of (thinning and conditioning) transformations

Arratia, Richard, Liggett, Thomas, Williamson, Malcolm

Journal:

Electronic Communications in Probability

Year:

2014

Language:

english

File:

PDF, 209 KB

english, 2014

45

An Extreme Value Theory for Sequence Matching

Arratia, Richard, Gordon, Louis, Waterman, Michael

Journal:

The Annals of Statistics

Year:

1986

File:

PDF, 2.27 MB

1986

46

Symmetric Exclusion Processes: A Comparison Inequality and a Large Deviation Result

Arratia, Richard

Journal:

The Annals of Probability

Year:

1985

File:

PDF, 805 KB

1985

47

Total Variation Asymptotics for Poisson Process Approximations of Logarithmic Combinatorial Assemblies

Arratia, Richard, Stark, Dudley, Tavare, Simon

Journal:

The Annals of Probability

Year:

1995

File:

PDF, 2.57 MB

1995

48

Site Recurrence for Annihilating Random Walks on $Z_d$

Arratia, Richard

Journal:

The Annals of Probability

Year:

1983

File:

PDF, 825 KB

1983

49

Effects of gene choice, base composition and rate heterogeneity on inference and estimates of divergence times in cypriniform fishes

Hirt, M. Vincent, Arratia, Gloria, Chen, Wei-Jen, Mayden, Richard L., Tang, Kevin L., Wood, Robert M., Simons, Andrew M.

Journal:

Biological Journal of the Linnean Society

Year:

2017

Language:

english

File:

PDF, 939 KB

english, 2017

50

Completely Effective Error Bounds for Stirling Numbers of the First and Second Kinds via Poisson Approximation

Richard Arratia,Stephen DeSalvo

Journal:

Annals of Combinatorics

Year:

2017

Language:

english

File:

PDF, 988 KB

english, 2017

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