Linear Statistics with Random Coefficients and Characterization of Hyperbolic Secant Distribution
General Mathematics
2019-05-27 v1
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.
Cite
@article{arxiv.1905.09910,
title = {Linear Statistics with Random Coefficients and Characterization of Hyperbolic Secant Distribution},
author = {Lev B. Klebanov},
journal= {arXiv preprint arXiv:1905.09910},
year = {2019}
}