A quantile-based generalized dynamic cumulative measure of entropy

S. Baratpour and A. H. Khammar

Communications in Statistics - Theory and Methods, 2018, vol. 47, issue 13, 3104-3117

Abstract: The cumulative residual entropy (CRE), introduced by Rao et al. (2004), is a new measure of uncertainty and viewed as a dynamic measure of uncertainty. Asadi and Zohrevand (2007) proposed a dynamic form of the CRE, namely dynamic CRE. Recently, Kumar and Taneja (2011) introduced a generalized dynamic CRE based on the Varma entropy introduced by Varma (1966) and called it dynamic CRE of order α and type β. In the present article, we introduce a quantile version of the dynamic CRE of order α and type β and study its properties. For this measure, we obtain some characterization results, aging classes properties, and stochastic comparisons.

Date: 2018
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DOI: 10.1080/03610926.2017.1348520

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