Normal approximation for coverage models over binomial point processes
نویسندگان
چکیده
منابع مشابه
Normal approximation for coverage models over binomial point processes
We give error bounds which demonstrate optimal rates of convergence in the CLT for the total covered volume and the number of isolated shapes, for germ-grain models with fixed grain radius over a binomial point process of n points in a toroidal spatial region of volume n. The proof is based on Stein’s method via size-biased couplings. 1 Department of Mathematics, University of Southern Californ...
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We give error bounds which demonstrate optimal rates of convergence in the CLT for the total covered volume and the number of isolated shapes, for germ-grain models with fixed grain radius over a binomial point process of n points in a toroidal spatial region of volume n. The proof is based on Stein's method via size-biased couplings. 1. Introduction. Given a collection of n independent uniform...
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 2010
ISSN: 1050-5164
DOI: 10.1214/09-aap634