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A characterization of the geometric distribution

Published online by Cambridge University Press:  14 July 2016

A. C. Dallas
A. C. Dallas*
Affiliation:
Athens University
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Abstract

The geometric distribution is characterized. The lack of memory property is replaced by the constancy of the conditional variance. Then the characterization is obtained.

Keywords

CHARACTERIZATIONLACK OF MEMORYGEOMETRIC DISTRIBUTIONVARIANCELINEAR DIFFERENCE EQUATION
Type
Short Communications
Information
Journal of Applied Probability , Volume 11 , Issue 3 , September 1974 , pp. 609 - 611
Copyright
Copyright © Applied Probability Trust 1974 

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References

Shanbhag, D. N. (1970) Characterizations for the exponential and geometric distributions. J. Amer. Statist. Assoc. 65, 1256–1259.Google Scholar