Linear Statistics with Random Coefficients and Characterization of Hyperbolic Secant Distribution

Lev B. Klebanov

Linear Statistics with Random Coefficients and Characterization of Hyperbolic Secant Distribution

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arxiv 1905.09910 v1 pith:WZECISO3 submitted 2019-05-23 math.GM

Lev B. Klebanov This is my paper · ORCID

classification math.GM

keywords characterizationdistributioncoefficientshyperboliclinearrandomsecantforms

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There is given a characterization of hyperbolic secant distribution by the independence of linear forms with random coefficients. We provide a characterization by the identic distribution property. Keywords: hyperbolic secant distribution; characterization of distributions; linear forms; random coefficients.

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Characterizations of Two-Points and Other Related Distributions
math.ST 2019-08 reject novelty 6.0 of 10

The paper states new distribution characterizations based on identical distribution or independence of linear forms with random coefficients, but does not fully prove all of them.

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