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.
Linear Statistics with Random Coefficients and Characterization of Hyperbolic Secant Distribution
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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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math.ST 1years
2019 1verdicts
REJECT 1representative citing papers
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Characterizations of Two-Points and Other Related Distributions
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.