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On a characterization of the exponential distribution

Published online by Cambridge University Press:  14 July 2016

K. Van Harn  and
F. W. Steutel
K. Van Harn*
Affiliation:
Free University of Amsterdam
F. W. Steutel*
Affiliation:
Eindhoven University of Technology
*
∗ Postal address: Department of Mathematics and Computer Science, Free University, De Boelelaan 1081, 1081 MC Amsterdam, The Netherlands.
∗∗ Postal address: Department of Mathematics and Computing Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands.
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Abstract

The characterization of the exponential distribution as given by Dimitrov and Khalil (1990) is improved by substantially weakening the conditions.

Keywords

CHARACTERIZATION THEOREMLAPLACE–STIELTJES TRANSFORM
Type
Short Communications
Information
Journal of Applied Probability , Volume 28 , Issue 4 , December 1991 , pp. 947 - 949
Copyright
Copyright © Applied Probability Trust 1991 

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References

Dimitrov, B. and Khalil, Z. (1990) On a new characterization of the exponential distribution related to a queueing system with an unreliable server. J. Appl. Prob. 27, 221–226.Google Scholar
Widder, D. V. (1972) The Laplace Transform. Princeton University Press.Google Scholar