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Characterization of the exponential distribution by the relevation transform

Published online by Cambridge University Press:  14 July 2016

K. A. Sing Lau  and
B. L. S. Prakasa Rao
K. A. Sing Lau
Affiliation:
Department of Mathematics, University of Pittsburgh, Pittsburgh PA 15260, USA
B. L. S. Prakasa Rao
Affiliation:
Indian Statistical Institute, Delhi Centre, 7 S.J.S. Sansanwal Marg, New Delhi 110 016, India
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Abstract

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Type
Letter to the Editor
Information
Journal of Applied Probability , Volume 29 , Issue 4 , December 1992 , pp. 1003 - 1004
Copyright
Copyright © Applied Probability Trust 1992 

References

Grosswald, E., Kotz, S. and Johnson, N. L. (1980) Characterization of the exponential distribution by relevation-type equations. J. Appl. Prob. 17, 874–877.Google Scholar
Kakosyan, A. V., Klebanov, L. B., Melamed, J. A. (1984) Characterization of Distributions by the Method of Intensively Monotone Operators. Lecture Notes in Mathematics 1088. Springer-Verlag, Berlin.Google Scholar
Lau, K. S., Prakasa Rao, B. L. S. (1990) Characterization of the exponential distribution by the relevation transform. J. Appl. Prob. 27, 726–729.Google Scholar
Rao, C. R. and Shanbhag, D. N. (1986) Recent results on characterization of probability distributions: A unified approach through extension of Deny's theorem. Adv. Appl. Prob. 18, 660–678.CrossRefGoogle Scholar
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