Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-06T04:10:33.783Z Has data issue: false hasContentIssue false
  • English
  • Français

A characterization of the exponential distribution

Published online by Cambridge University Press:  14 July 2016

M. Ahsanullah  and
M. Rahman
M. Ahsanullah
Affiliation:
Food and Drug Directorate, Ottawa
M. Rahman
Affiliation:
Carleton University, Ottawa
Get access Rights & Permissions [Opens in a new window]

Abstract

A necessary and sufficient condition based on order statistics that a positive random variable having an absolutely continuous probability distribution (with respect to Lebesgue measure) will be exponential is given.

Keywords

CHARACTERIZATION OF EXPONENTIAL DISTRIBUTIONORDER STATISTICS
Type
Short Communications
Information
Journal of Applied Probability , Volume 9 , Issue 2 , June 1972 , pp. 457 - 461
Copyright
Copyright © Applied Probability Trust 1972 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Aczel, J. (1966) Lectures on Functional Equations and their Application. Academic Press, New York.Google Scholar
[2] Arnold, B. C. (1971) Two characterizations of the exponential distribution using order statistics. Unpublished.Google Scholar
[3] Basu, A. P. (1965) On characterizing the exponential distribution by order statistics. Ann. Inst. Statist. Math. 17, 93–96.Google Scholar
[4] Crawford, G. B. (1966) Characterization of geometric and exponential distributions. Ann. Math. Statist. 37, 1790–1795.Google Scholar
[5] Desu, M. M. (1971) A characterization of the exponential distribution by order statistics. Ann. Math. Statist. 42, 837–838.Google Scholar
[6] Ferguson, T. S. (1964) A characterization of the exponential distribution. Ann. Math. Statist. 35, 1199–1207.Google Scholar