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The Number of Collisions for the Occupancy Problem with Unequal Probabilities
Published online by Cambridge University Press: 22 February 2016
Abstract
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In this article we study a number of collisions concerning a simple occupancy problem with unequal probabilities. Using combinatorial arguments and negative associations of random variables, we have several limit theorems, namely, a weak law of large numbers and a Poisson law of small numbers including the Chen-Stein estimate.
MSC classification
Primary:
60C05: Combinatorial probability
Secondary:
91A60: Probabilistic games; gambling
- Type
- Research Article
- Information
- Copyright
- © Applied Probability Trust
Footnotes
Dedicated to Professor Masafumi Yamashita on the occasion of his 60th birthday.
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