%0 Journal Article
%A Mirali, Malihe
%A Baratpour, Simin
%T Some Results on Weighted Cumulative Entropy
%J Journal of the Iranian Statistical Society
%V 16
%N 2
%U http://jirss.irstat.ir/article-1-380-en.html
%R
%D 2017
%K Cumulative entropy, Cumulative residual entropy, Survival function, Weighted Shannon entropy,
%X 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 Shiftdependent 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.
%> http://jirss.irstat.ir/article-1-380-en.pdf
%P 21-32
%& 21
%! Some Results on Weighted Cumulative Entropy
%9 Original Paper
%L A-11-369-6
%+ Department of Statistics, International Campus, Ferdowsi University of Mashhad, Mashhad, Iran
%G eng
%@ 1726-4057
%[ 2017