Title : ( Characterizations of symmetric distributions using equi-distributions and moment properties of functions of order statistics )
Authors: Jafar Ahmadi , Massoumeh Fashandi , Haikady N. Nagaraja ,
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Abstract
Several characterizations of symmetry of a probability distribution are provided. These include the equality in distributions of symmetrically chosen upper and lower order statistics, symmetric spac- ings of order statistics, and quasi-midranges. Characterizations of symmetry based on the moment properties of order statistics, quasi-midranges and spacings are established. Some characterizations in terms of moments of the underlying distribution are also given.
Keywords
, Characterization, Moments, Muntz-Szasz theorem, Spacings, Quasi-midrange, Symmetric distribution.
@article{paperid:1078795,
author = {Ahmadi, Jafar and Fashandi, Massoumeh and Haikady N. Nagaraja},
title = {Characterizations of symmetric distributions using equi-distributions and moment properties of functions of order statistics},
journal = {Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales: Matematicas},
year = {2020},
volume = {114},
number = {2},
month = {February},
issn = {1578-7303},
keywords = {Characterization; Moments; Muntz-Szasz theorem; Spacings; Quasi-midrange; Symmetric distribution.},
}
%0 Journal Article
%T Characterizations of symmetric distributions using equi-distributions and moment properties of functions of order statistics
%A Ahmadi, Jafar
%A Fashandi, Massoumeh
%A Haikady N. Nagaraja
%J Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales: Matematicas
%@ 1578-7303
%D 2020
