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Normal approximations to discrete unimodal distributions

Published online by Cambridge University Press:  24 August 2016

B. G. Quinn  and
H. L. MacGillivray
B. G. Quinn*
Affiliation:
University of Queensland
H. L. MacGillivray*
Affiliation:
University of Queensland
*
∗Postal address: Department of Mathematics, University of Queensland, St. Lucia, QLD 4067, Australia.
∗Postal address: Department of Mathematics, University of Queensland, St. Lucia, QLD 4067, Australia.
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Abstract

Sufficient conditions are presented for the limiting normality of sequences of discrete random variables possessing unimodal distributions. The conditions are applied to obtain normal approximations directly for the hypergeometric distribution and the stationary distribution of a special birth-death process.

Keywords

BIRTH-DEATH PROCESSHYPERGEOMETRIC DISTRIBUTIONSTRONGLY UNIMODAL DISTRIBUTIONS
Type
Short Communications
Information
Journal of Applied Probability , Volume 23 , Issue 4 , December 1986 , pp. 1013 - 1018
Copyright
Copyright © Applied Probability Trust 1986 

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