Normal approximation for isolated balls in an urn allocation model
Penrose, M. D., 2009. Normal approximation for isolated balls in an urn allocation model. Electronic Journal of Probability, 14, 74.
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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
|Creators||Penrose, M. D.|
|Departments||Faculty of Science > Mathematical Sciences|
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