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A note on a randomized occupancy problem

Published online by Cambridge University Press:  14 July 2016

Anders Rygh Swensen
Anders Rygh Swensen*
Affiliation:
Central Bureau of Statistics of Norway
*
∗Postal address: Central Bureau of Statistics of Norway, P.O. Box 8131 Dep., N-0033 Oslo 1, Norway.
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Abstract

Consider N urns into which n balls are dropped independently with equal probability of hitting each urn and constant probability p of staying in the urn. We find the characteristic function of the joint distribution of KN and LN where KN is the number of urns that have not been hit, and LN is the number of urns where all balls have fallen through. Furthermore, we study the asymptotic distribution of (KN, LN) as n, N → ∞ at various rates.

Keywords

GENERATING FUNCTIONASYMPTOTIC DISTRIBUTION
Type
Research Papers
Information
Journal of Applied Probability , Volume 25 , Issue 4 , December 1988 , pp. 725 - 732
Copyright
Copyright © Applied Probability Trust 1988 

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References

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