RT - Journal Article
T1 - Some Results on Weighted Cumulative Entropy
JF - JIRSS
YR - 2017
JO - JIRSS
VO - 16
IS - 2
UR - http://jirss.irstat.ir/article-1-380-en.html
SP - 21
EP - 32
K1 Cumulative entropy
K1 Cumulative residual entropy
K1 Survival function
K1 Weighted Shannon entropy
AB - 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.
LA eng
UL http://jirss.irstat.ir/article-1-380-en.html
M3
ER -