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Approximating dependent rare events (1306.4158v3)
Published 18 Jun 2013 in math.PR, math.ST, and stat.TH
Abstract: In this paper we give a historical account of the development of Poisson approximation using Stein's method and present some of the main results. We give two recent applications, one on maximal arithmetic progressions and the other on bootstrap percolation. We also discuss generalisations to compound Poisson approximation, Poisson process approximation and multivariate Poisson approximation, and state a few open problems.
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