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Exchangeable pairs and Poisson approximation | | Sourav Chatterjee
; Persi Diaconis
; Elizabeth Meckes
; | | Date: |
24 Nov 2004 | | Journal: | Probability Surveys 2005, Vol. 2, 64-106 DOI: 10.1214/154957805100000096 | | Subject: | Probability | math.PR | | 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. | | Source: | arXiv, math.PR/0411525 | | Services: | Forum | Review | PDF | Favorites | |
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