Journal of the Iranian Statistical Society, Volume (17), No (2), Year (2017-11) , Pages (21-32)

Title : ( Some Results on Weighted Cumulative Entropy )

Authors: MALIHEH MIR ALI , Simindokht Baratpour Bajgiran ,

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Considering Rao et al. (2004) and Di Crescenzo and Longobardi (2009) studies, Misagh et al. (2011) proposed a weighted information which is based on the cumulative entropy called Weighted Cumulative Entropy (WCE). The above-mentioned model is a Shift- dependent Uncertainty Measure. In this paper, we examine some of the properties of WCE and obtain some bounds for that. In order to estimate this information measure, we put forward empirical WCE. Furthermore, in some theorems, we have some characterization results. We explore that, if the WCE of the first (last) order statistic are equal for two distributions, then this two distributions will be equal.


, Cumulative entropy, Cumulative residual entropy, Survival function, Weighted Shannon entropy.
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author = {MIR ALI, MALIHEH and Baratpour Bajgiran, Simindokht},
title = {Some Results on Weighted Cumulative Entropy},
journal = {Journal of the Iranian Statistical Society},
year = {2017},
volume = {17},
number = {2},
month = {November},
issn = {1726-4057},
pages = {21--32},
numpages = {11},
keywords = {Cumulative entropy; Cumulative residual entropy; Survival function; Weighted Shannon entropy.},


%0 Journal Article
%T Some Results on Weighted Cumulative Entropy
%A Baratpour Bajgiran, Simindokht
%J Journal of the Iranian Statistical Society
%@ 1726-4057
%D 2017