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