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Generalized cumulative entropy based on kth lower record values

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  • Tahmasebi, Saeid
  • Eskandarzadeh, Maryam

Abstract

In this paper, we propose a new extension of cumulative entropy based on kth lower record values. We also consider a dynamic version of this new cumulative entropy using the past lifetime. For these concepts, we study some properties and characterization results under some assumptions. Finally, we provide some examples of application of the results.

Suggested Citation

  • Tahmasebi, Saeid & Eskandarzadeh, Maryam, 2017. "Generalized cumulative entropy based on kth lower record values," Statistics & Probability Letters, Elsevier, vol. 126(C), pages 164-172.
    • Handle: RePEc:eee:stapro:v:126:y:2017:i:c:p:164-172
    DOI: 10.1016/j.spl.2017.02.036
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    References listed on IDEAS

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    1. Georgios Psarrakos & Jorge Navarro, 2013. "Generalized cumulative residual entropy and record values," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 76(5), pages 623-640, July.
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    Cited by:

    1. Sathar E. I. Abdul & Jose Jitto, 2020. "Past Extropy of 𝑘-Records," Stochastics and Quality Control, De Gruyter, vol. 35(1), pages 25-38, June.
    2. Balakrishnan, Narayanaswamy & Buono, Francesco & Longobardi, Maria, 2022. "On Tsallis extropy with an application to pattern recognition," Statistics & Probability Letters, Elsevier, vol. 180(C).
    3. Maryam Eskandarzadeh & Antonio Di Crescenzo & Saeid Tahmasebi, 2019. "Cumulative Measure of Inaccuracy and Mutual Information in k -th Lower Record Values," Mathematics, MDPI, vol. 7(2), pages 1-19, February.

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