Communications in Statistics - Theory and Methods, ( ISI ), Volume (46), No (22), Year (2017-10) , Pages (11047-11059)

Title : ( Dynamic Version of Weighted Cumulative Residual Entropy )

Authors: MALIHEH MIR ALI , Simindokht Baratpour Bajgiran ,

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Abstract

Some extensions of Shannon entropy to the survival function have been recently proposed. Misagh et al. (2011) introduced weighted cumulative residual entropy (WCRE) that was studied more by Mirali et al. (2015). In this paper, dynamic version of WCRE is proposed. Some relationships of this measure with well known reliability measures and ageing classes are stud-ied and some characterization results for exponential and Rayleigh distributions are provided. Also, a non-parametric estimation of dynamic version of WCRE is introduced and its asymptotic behavior is investigated.

Keywords

, Shannon entropy, Cumulative residual entropy, Mean residual life, Weighted Shannon entropy, Characterization.