Poisson limits for generalized random allocation problems

n balls are randomly distributed into N cells so that no cell may contain more than one ball. This process is repeated m times. In addition, balls may disappear, such disappearances are independent and identically Bernoulli distributed. Conditions are given under which the number of empty cells has an asymptotically (N --> [infinity]) Poisson distribution.

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Year of publication:	1989
Authors:	Harris, Bernard
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 8.1989, 2, p. 123-127
Publisher:	Elsevier
Subject:	random allocations occupancy Poisson limits

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005259052