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On a characterization of exponential and double exponential distributions

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arxiv 2203.10495 v1 pith:22M4A7WR submitted 2022-03-20 math.PR math.STstat.TH

Reza Rastegar , Alex Roitershtein This is my paper · ORCID
classification math.PRmath.STstat.TH
keywords characterizationdistributionsexponentialfamilymixtureyanevadditioncertain
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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, obtain a similar characterization for the Laplace family of distributions.

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  1. Bernstein Functions at Work: Coalescents, Copulas, and Subordination

    math.PR 2026-07 accept novelty 6.5 of 10

    Three open positivity problems on coalescent block counts, power-divergence copula generators, and special-Bernstein renewal sequences are resolved via Bernstein-function recognition calculus.

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