Title : ( Characterization of continuous symmetric distributions using information measures of records )
Authors: Jafar Ahmadi ,
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Abstract
In this paper, several characterizations of continuous symmetric distributions are provided. The results are based on the properties of some information measures of k-records. These include cumulative residual (past) entropy, Shannon entropy, Rényi entropy,Tsallis entropy, also some common Kerridge inaccuracy measures. It is proved that the equality of information in upper and lower k-records is a characteristic property of continuous symmetric distributions. Completeness properties of certain function 8 sequences are also used to obtain some characterization results
Keywords
, Completeness properties, Cross entropy, Cumulative entropy, Kerridge inaccurac, k-Record, Rényi, entropy, Symmetric distribution, Tsallis entropy
@article{paperid:1081367,
author = {Ahmadi, Jafar},
title = {Characterization of continuous symmetric distributions using information measures of records},
journal = {Statistical Papers},
year = {2020},
volume = {62},
number = {6},
month = {October},
issn = {0932-5026},
pages = {2603--2626},
numpages = {23},
keywords = {Completeness properties; Cross entropy; Cumulative entropy; Kerridge inaccurac; k-Record; Rényi; entropy; Symmetric distribution; Tsallis entropy},
}
%0 Journal Article
%T Characterization of continuous symmetric distributions using information measures of records
%A Ahmadi, Jafar
%J Statistical Papers
%@ 0932-5026
%D 2020
