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Richard Arratia
Researcher at University of Southern California
Publications - 91
Citations - 5213
Richard Arratia is an academic researcher from University of Southern California. The author has contributed to research in topics: Random variable & Poisson distribution. The author has an hindex of 35, co-authored 90 publications receiving 4907 citations.
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Book
Logarithmic Combinatorial Structures: A Probabilistic Approach
TL;DR: In this article, the authors explain the similarities in asymptotic behaviour as the result of two basic properties shared by the structures: the conditioning relation and the logarithmic condition.
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Two Moments Suffice for Poisson Approximations: The Chen-Stein Method
TL;DR: In this paper, the authors presented Chen's results in a form that is easy to use and gave a multivariable extension, which gives an upper bound on the total variation distance between a sequence of dependent indicator functions and a Poisson process with the same intensity.
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Poisson Approximation and the Chen-Stein Method
TL;DR: The Chen-Stein method of Poisson approximation is a powerful tool for computing an error bound when approximating probabilities using the Poisson distribution as discussed by the authors, in many cases, this bound may be given in terms of first and second moments alone.
Poisson Approximation and the Chen-Stein ethod
TL;DR: The Chen-Stein method of Poisson approximation is a powerful tool for computing an error bound when approximating probabilities using the Poisson distribution as mentioned in this paper, in many cases, this bound may be given in terms of first and second moments alone.
Journal ArticleDOI
The Motion of a Tagged Particle in the Simple Symmetric Exclusion System on $Z$
TL;DR: In this paper, a simple exclusion interaction is considered where each particle independently attempts to execute a simple symmetric random walk, but any jump which would carry a particle to an already occupied site is suppressed.