Title : ( Characterization of symmetric distributions based on some information measures properties of order statistics )
Authors: Jafar Ahmadi , Massoumeh Fashandi ,
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Abstract
In this paper, using the completeness properties of certain function sequences, several characterization re- sults of symmetric continuous distributions are established based on various information measures properties of order statistics. It is shown that the equality of some common information measures of upper and lower order statistics is a characteristic property of symmetric distributions. These information measures include Shannon entropy, Renyi entropy, Tsallis entropy, cumulative residual (past) entropy, also some common inaccuracy measures. The results can be used to construct goodness-of- t test for symmetry.
Keywords
, Characterization, Cross entropy, Cumulative entropy, Kerridge inaccuracy, Muntz-Szasz theorem, Renyi entropy, Symmetric distribution, Tsallis entropy
@article{paperid:1071043,
author = {Ahmadi, Jafar and Fashandi, Massoumeh},
title = {Characterization of symmetric distributions based on some information measures properties of order statistics},
journal = {Physica A: Statistical Mechanics and its Applications},
year = {2018},
volume = {517},
number = {1},
month = {December},
issn = {0378-4371},
pages = {141--152},
numpages = {11},
keywords = {Characterization; Cross entropy; Cumulative entropy; Kerridge inaccuracy; Muntz-Szasz theorem;
Renyi entropy; Symmetric distribution; Tsallis entropy},
}
%0 Journal Article
%T Characterization of symmetric distributions based on some information measures properties of order statistics
%A Ahmadi, Jafar
%A Fashandi, Massoumeh
%J Physica A: Statistical Mechanics and its Applications
%@ 0378-4371
%D 2018
