Title : ( Characterizations of Symmetric Distributions Based on Renyi Entropy )
Authors: Massoumeh Fashandi , Jafar Ahmadi ,
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Abstract
It is proved that the equality of R{e}nyi entropies of upper and lower order statistics as well as upper and lower $k$-records is a characteristic property of symmetric distributions. Also, for Farlie-Gumbel-Morgenstern (FGM) family, it is shown that under some conditions the equality of entropies of concomitants of upper and lower order statistics as well as concomitants of upper and lower record values is a characteristic property for the uniform distribution.
Keywords
, Muntz-Szasz Theorem, Farlie-Gumbel-Morgenstern (FGM) family, k-records, Concomitant, Shannon information.
@article{paperid:1025345,
author = {Fashandi, Massoumeh and Ahmadi, Jafar},
title = {Characterizations of Symmetric Distributions Based on Renyi Entropy},
journal = {Statistics and Probability Letters},
year = {2012},
volume = {82},
number = {4},
month = {January},
issn = {0167-7152},
pages = {798--804},
numpages = {6},
keywords = {Muntz-Szasz Theorem; Farlie-Gumbel-Morgenstern (FGM) family; k-records; Concomitant; Shannon information.},
}
%0 Journal Article
%T Characterizations of Symmetric Distributions Based on Renyi Entropy
%A Fashandi, Massoumeh
%A Ahmadi, Jafar
%J Statistics and Probability Letters
%@ 0167-7152
%D 2012
