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A generalization of a result of Erdös and Rényi

Published online by Cambridge University Press:  14 July 2016

Norman Kaplan
Norman Kaplan*
Affiliation:
University of California, Berkeley
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Abstract

Consider a finite urn scheme with balls uniformly distributed amongst the urns. Using a technique of Karlin, the asymptotic behavior of the number of throws necessary to obtain at least m (m ≧ 1) balls in a given fraction of the urns is studied.

Keywords

FINITE URN SCHEMEPOISSON APPROXIMATION
Type
Short Communications
Information
Journal of Applied Probability , Volume 14 , Issue 1 , March 1977 , pp. 212 - 216
Copyright
Copyright © Applied Probability Trust 1977 

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References

[1] Erdös, P. and Rényi, A. (1961) On a classical problem in probability theory. Magyar Tud. Akad. Kutato Int. Kozl 6, 215–219.Google Scholar
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[6] Karlin, S. (1967) Central limit theorems for certain infinite urn schemes. J. Math. Mech. 4, 373–401.Google Scholar
[7] Karlin, S. and Mcgregor, J. (1967) The number of mutant forms maintained in a population. Proc. 5th Berkeley Symp. Math. Statist. Prob. 4, 415–438.Google Scholar
[8] Kaplan, N. TWO applications of a recent result of D. Freedman. Unpublished.Google Scholar