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Note on a characterization of exponential distributions - MaRDI portal

Note on a characterization of exponential distributions (Q1096270)

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scientific article; zbMATH DE number 4030696
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Note on a characterization of exponential distributions
scientific article; zbMATH DE number 4030696

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    Note on a characterization of exponential distributions (English)
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    1988
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    Let U be uniformly distributed on (0,1) and let Y and \(Y'=^{d}Y\) be random vectors with nonnegative components, U, Y and \(Y'\) independent. It is shown that the relation \(Y=^{d}U(Y+Y')\) is satisfied if and only if the components of Y are multiples of a single exponentially distributed random variable.
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    characterization of exponential distributions
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