A characteristic property of the exponential distribution

The following characterization of the exponential distribution is given: Under suitable conditions on the random variables X and Y, X is exponentially distributed if and only if E[min{X, Y}]=E(X)P(X<Y).

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Year of publication:	1982
Authors:	Kaminsky, Kenneth S.
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 1.1982, 1, p. 31-32
Publisher:	Elsevier
Keywords:	Exponential distribution characterization Makeham's law Gompertz's law

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005138226