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Characterization of the exponential distribution by the relevation transform

Published online by Cambridge University Press:  14 July 2016

Ka Sing Lau  and
B. L. S. Prakasa Rao
Ka Sing Lau*
Affiliation:
University of Pittsburgh
B. L. S. Prakasa Rao*
Affiliation:
Indian Statistical Institute, New Delhi
*
∗Postal address: Department of Mathematics, University of Pittsburgh, Pittsburgh PA 15260, USA.
∗∗Postal address: Indian Statistical Institute, Delhi Centre, 7, S.J.S. Sansanwal Marg, New Delhi 110016, India.
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Abstract

A characterization of the exponential distribution was obtained by Grosswald et al. (1980) using the relevation transform introduced by Krakowski (1973). Here we obtain an improved version of the result in Grosswald et al. (1980).

Keywords

CONVOLUTIONLIFE DISTRIBUTIONS
Type
Short Communications
Information
Journal of Applied Probability , Volume 27 , Issue 3 , September 1990 , pp. 726 - 729
Copyright
Copyright © Applied Probability Trust 1990 

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Footnotes

Supported by the Fulbright Indo-American Fellowship.

References

Apostal, T. (1957) Mathematical Analysis. Addison-Wesley, Reading, Mass.Google Scholar
Baxter, L. A. (1982) Reliability applications of the relevation transform. Naval Res. Log. Quart. 29, 323–330.Google Scholar
Grosswald, E., Kotz, S. and Johnson, N. L. (1980) Characterizations of the exponential distribution by relevation-type equations. J. Appl. Prob. 17, 874–877.CrossRefGoogle Scholar
Krakowski, M. (1973) The relevation transform and a generalization of the gamma distribution. Rev. Franc. Autom. Inf. Rech. Operat. 7 (V-2), 107–120.Google Scholar