Exchangeable pairs and Poisson approximation

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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.
Published at http://dx.doi.org/10.1214/154957805100000096 in the Probability Surveys (http://www.i-journals.org/ps/) by the Institute of Mathematical Statistics (http://www.imstat.org)

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Probability

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http://salesiana.dossiersoluciones.com/handle/123456789/100953

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411525
 http://arxiv.org/abs/math/0411525
 Probability Surveys 2005, Vol. 2, 64-106
 doi:10.1214/154957805100000096

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arXiv