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On a theorem of Ahsanullah and Rahman

Published online by Cambridge University Press:  14 July 2016

J. S. Huang*
Affiliation:
University of Guelph

Abstract

A characterization theorem of the exponential distribution by Ahsanullah and Rahman is examined in contrast to existing results by several other authors.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1974 

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References

Ahsanullah, ?. and Rahman, M. (1972) A characterization of the exponential distribution J. Appl. Prob. 9, 457461.Google Scholar
Ahsanullah, M. (1972) A characterization of the exponential distribution by order statistics. Unpublished.Google Scholar
Arnold, B. C. (1971) Two characterizations of the exponential distribution using order statistics. Unpublished.Google Scholar
Basu, A. P. (1965) On characterizing the exponential distribution by order statistics Ann. Inst. Statist. Math. 17, 9396.CrossRefGoogle Scholar
Desu, M. M. (1971) A characterization of the exponential distribution by order statistics Ann. Math. Statist. 42, 837838.Google Scholar
Epstein, B. and Sobel, M. (1953) Life testing J. Amer. Statist. Assoc. 48, 486502.Google Scholar
Rényi, A. (1953) On the theory of order statistics Acta Math. Acad. Sci. Hung. 4, 191231.Google Scholar
Rogers, G. S. (1963) An alternative proof of the characterization of the density AxB Amer. Math. Monthly 70, 857858.Google Scholar