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A characteristic property of the exponential distribution |
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| Authors: | Kenneth S Kaminsky |
| Affiliation: | University of Umeå, Sweden |
| Abstract: | 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). |
| Keywords: | Exponential distribution characterization Makeham's law Gompertz's law |
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