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Normal approximation for coverage models over binomial point processes


Reference:

Goldstein, L. and Penrose, M. D., 2010. Normal approximation for coverage models over binomial point processes. Annals of Applied Probability, 20 (2), pp. 696-721.

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Official URL:

http://dx.doi.org/10.1214/09-aap634

Abstract

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.

Details

Item Type Articles
CreatorsGoldstein, L.and Penrose, M. D.
DOI10.1214/09-aap634
Uncontrolled Keywordssize biased coupling, stochastic geometry, berry-esseen theorem, coverage process, stein's method
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code21544

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