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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

Arnold, B. C. (1980) Two characterizations of the geometric distribution. J. Appl. Prob. 17, 570–573.Google Scholar
Azlarov, T. and Volodin, N. (1982) Characterization Problems of the Exponential Distribution (in Russian). Akademia Nauk Uzbekistan SSR, Ed. ‘FAN’, Tashkent.Google Scholar
Deheuvels, P. (1984) The characterization of distributions by order statistics and record values — a unified aproach. J. Appl. Prob. 21, 326–334; Correction 22, 997.CrossRefGoogle Scholar
Galambos, J. (1975) Characterizations of probability distributions by properties of order statistics II. In Statistical Distributions in Scientific Work, ed. Patil, G. P. et al., Reidel, Dordrecht.Google Scholar
Govindarajulu, Z. (1980) Characterization of the geometic distribution using properties of order statistics. J. Statist. Planning Inf. 4, 237–247.CrossRefGoogle Scholar
Kirmani, S. N. U. A. and Alam, A. (1980) Characterization of the geometric distribution by the form of a predictor. Commun. Statist. Theor. Meth. A9, 541–547.CrossRefGoogle Scholar
Sreehari, M. (1983) A characterization of the geometric distribution. J. Appl. Prob. 20, 209–212.Google Scholar
Srivastava, R. C. (1981) On some characterizations of the geometric distribution. In Statistical Distributions in Scientific Work, Vol. 4, ed. Taillie, C. et al., Reidel, Dordrecht, 349–355.Google Scholar
Zijlstra, M. (1983) Characterizations of the geometric distribution by distributional properties. J. Appl. Prob. 20, 843–850.CrossRefGoogle Scholar