Characterizations of Two-Points and Other Related Distributions

2019/08/05 by Lev B. Klebanov, Klebanov, Lev · 1 citation
Mathematics · #62E10 #62E15 #FOS: Mathematics #Statistics Theory (math.ST) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1908.01865

openalex publication_date 2019/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide new characterizations of two-points and some related distributions. We use properties of independence and/or identity of the distributions of suitable linear forms of random variables. Keywords: characterization of a distribution; two-points distribution; uniform distribution; squared hyperbolic secant distribution; independent or identically distributed linear forms

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