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On study of dynamic survival and cumulative past entropies

Author

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  • Amarjit Kundu
  • Asok K. Nanda

Abstract

Recently, a new class of measure of uncertainty, called “dynamic survival entropy”, has been defined and studied in the literature. Based on this entropy, DSE(α) ordering, IDSE(α), and DDSE(α) classes of life distributions are defined and some results are studied. In this paper, our main aim is to prove some more results of the ordering and the aging classes of life distributions mentioned above. Some important distributions such as exponential, Pareto, Pareto II, and finite range distributions are also characterized. Here we have defined cumulative past entropy and proved some interesting results.

Suggested Citation

  • Amarjit Kundu & Asok K. Nanda, 2016. "On study of dynamic survival and cumulative past entropies," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(1), pages 104-122, January.
    • Handle: RePEc:taf:lstaxx:v:45:y:2016:i:1:p:104-122
    DOI: 10.1080/03610926.2013.824591
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    Cited by:

    1. Antonio Di Crescenzo & Patrizia Di Gironimo, 2018. "Stochastic Comparisons and Dynamic Information of Random Lifetimes in a Replacement Model," Mathematics, MDPI, vol. 6(10), pages 1-13, October.
    2. Antonio Di Crescenzo & Patrizia Di Gironimo & Suchandan Kayal, 2020. "Analysis of the Past Lifetime in a Replacement Model through Stochastic Comparisons and Differential Entropy," Mathematics, MDPI, vol. 8(8), pages 1-18, July.
    3. Saha, Shital & Kayal, Suchandan, 2023. "Extended fractional cumulative past and paired ϕ-entropy measures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 614(C).

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