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A Poisson Approximation for an Occupancy Problem with Collisions

Part of: Combinatorial probability

Published online by Cambridge University Press:  14 July 2016

Toshio Nakata
Toshio Nakata*
Affiliation:
Fukuoka University of Education
*
∗Postal address: Department of Mathematics, Fukuoka University of Education, Akama-Bunkyomachi, Munakata, Fukuoka, 811-4192, Japan. Email address: nakata@fukuoka-edu.ac.jp
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Abstract

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We study collision probabilities concerning the simple balls-and-bins problem developed by Wendl (2003). In this article we give the factorial moment of the number of collisions. Moreover, we obtain a Poisson approximation for the number of collisions using the Chen-Stein method.

Keywords

Collision probabilityoccupancy problemPoisson approximationChen-Stein method

MSC classification

Secondary: 60C05: Combinatorial probability
Type
Research Article
Information
Journal of Applied Probability , Volume 45 , Issue 2 , June 2008 , pp. 430 - 439
Copyright
Copyright © Applied Probability Trust 2008 

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