A quantile-based generalized dynamic cumulative measure of entropy

作者：Baratpour S.^*; Khammar A. H.

来源：Communications in Statistics - Theory and Methods, 2018, 47(13): 3104-3117.

DOI：10.1080/03610926.2017.1348520

• Characterization
• Dynamic cumulative residual entropy of order and type
• Quantile function
• Reliability measures
• Stochastic comparisons

The cumulative residual entropy (CRE), introduced by Rao etal. (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 and type . In the present article, we introduce a quantile version of the dynamic CRE of order and type and study its properties. For this measure, we obtain some characterization results, aging classes properties, and stochastic comparisons.

• 出版日期2018