Symmetric and centered binomial approximation of sums of locally dependent random variables
Probability
2007-05-23 v1
Abstract
Stein's method is used to approximate sums of discrete and locally dependent random variables by a centered and symmetric Binomial distribution. Under appropriate smoothness properties of the summands, the same order of accuracy as in the Berry-Essen Theorem is achieved. The approximation of the total number of points of a point processes is also considered. The results are applied to the exceedances of the -scans process and to the Mat\'ern hardcore point process type I.
Keywords
Cite
@article{arxiv.math/0608138,
title = {Symmetric and centered binomial approximation of sums of locally dependent random variables},
author = {Adrian Röllin},
journal= {arXiv preprint arXiv:math/0608138},
year = {2007}
}