Normal approximation for isolated balls in an urn allocation model

Reference:

Penrose, M. D., 2009. Normal approximation for isolated balls in an urn allocation model. Electronic Journal of Probability, 14, 74.

Related documents:

Official URL:

http://www.emis.ams.org/journals/EJP-ECP/

Related URLs:

• http://arxiv.org/abs/0901.3493

Abstract

Consider throwing n balls at random into m urns, each ball landing in urn i with probability p(i). Let S be the resulting number of singletons, i. e., urns containing just one ball. We give an error bound for the Kolmogorov distance from the distribution of S to the normal, and estimates on its variance. These show that if n, m and (p(i),1

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