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Characterizing the geometric distribution using expectations of order statistics

Published online by Cambridge University Press:  14 July 2016

A. C. Dallas
A. C. Dallas*
Affiliation:
University of Athens
*
∗Postal address: Department of Mathematics, University of Athens, Panepistemiopolis, 157 10 Athens, Greece.
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Abstract

The constancy of the conditional expectation of some appropriate functions of order statistics on some others, is used to characterize the geometric distribution among the discrete distributions.

Keywords

CONDITIONAL EXPECTATIONORDER STATISTICSMONOTONE FAILURE RATE
Type
Short Communications
Information
Journal of Applied Probability , Volume 24 , Issue 2 , June 1987 , pp. 534 - 539
Copyright
Copyright © Applied Probability Trust 1987 

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References

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