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A quantile-based generalized dynamic cumulative measure of entropy

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  • S. Baratpour
  • A. H. Khammar

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.

Suggested Citation

  • S. Baratpour & A. H. Khammar, 2018. "A quantile-based generalized dynamic cumulative measure of entropy," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(13), pages 3104-3117, July.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:13:p:3104-3117
    DOI: 10.1080/03610926.2017.1348520
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    Cited by:

    1. Kayal, Suchandan, 2018. "Quantile-based cumulative inaccuracy measures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 329-344.

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