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Abstract:   (423 Views)

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. 

Type of Study: Original Paper | Subject: 94Axx: Communication, information
Received: 2016/09/14 | Accepted: 2017/04/1 | Published: 2017/04/1