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.
Citation
Larry Goldstein. Mathew D. Penrose. "Normal approximation for coverage models over binomial point processes." Ann. Appl. Probab. 20 (2) 696 - 721, April 2010. https://doi.org/10.1214/09-AAP634
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