On a Characterization of Exponential and Double Exponential Distributions

Recently, G. Yanev obtained a characterization of the exponential family of distributions in terms of a functional equation for certain mixture densities. The purpose of this note is twofold: we extend Yanev’s theorem by relaxing a restriction on the sign of mixture coefficients and, in addition, o...

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Bibliographic Details
Main Authors: Reza Rastegar, Alexander Roitershtein
Format: Article
Language:English
Published: Instituto Nacional de Estatística | Statistics Portugal 2025-02-01
Series:Revstat Statistical Journal
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Online Access:https://revstat.ine.pt/index.php/REVSTAT/article/view/530
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