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Linear Statistics with Random Coefficients and Characterization of Hyperbolic Secant Distribution

2019/05/23 by Lev B. Klebanov, Klebanov, Lev B. · 1 citation
Mathematics · #60E07 #62E10 #62E15 #FOS: Mathematics #General Mathematics (math.GM) #Statistical and numerical algorithms

paper · pdf · doi:10.48550/arxiv.1905.09910

openalex publication_date 2019/05/23 · openalex created_date 2019/05/29 · openalex updated_date 2026/07/28

Abstract

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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