Exchangeable pairs and Poisson approximation release_tjrypmqgfjezpgm2nzo5ksr2ou

by Sourav Chatterjee, Persi Diaconis, Elizabeth Meckes

Released as a report .

2005  

Abstract

This is a survey paper on Poisson approximation using Stein's method of exchangeable pairs. We illustrate using Poisson-binomial trials and many variations on three classical problems of combinatorial probability: the matching problem, the coupon collector's problem, and the birthday problem. While many details are new, the results are closely related to a body of work developed by Andrew Barbour, Louis Chen, Richard Arratia, Lou Gordon, Larry Goldstein, and their collaborators. Some comparison with these other approaches is offered.
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Type  report
Stage   submitted
Date   2005-04-22
Version   v2
Language   en ?
Number  IMS-PS-PS-2004-20
arXiv  math/0411525v2
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