Some results onweighted cumulative entropy

Citation data:

Journal of the Iranian Statistical Society, ISSN: 1726-4057, Vol: 16, Issue: 2, Page: 21-32

Publication Year:
2017

No metrics available.

DOI:
10.22034/jirss.2017.16.02
Author(s):
Maliheh Mirali; Simindokht Baratpour
Tags:
Mathematics
article description
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.