TY - JOUR
T1 - Some Results on Weighted Cumulative Entropy
JF - JIRSS
JO - JIRSS
VL - 17
IS - 0
UR - http://jirss.irstat.ir/article-1-380-en.html
Y1 - 2017
SP - 85
EP - 96
KW Cumulative entropy
KW Cumulative residual entropy
KW Survival function
KW Weighted Shannon entropy.
N2 - Considering Rao et al. (2004) and Di Crescenzo and Longobardi (2009), Misagh et al. (2011) proposed a weighted information that is based on cumulative entropy which is 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 it. 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 first (last) order statistics are equal for two distributions, then this two distributions will be equal.
M3
ER -