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Past Extropy of 𝑘-Records

Author

Listed:
  • Sathar E. I. Abdul

    (Department of Statistics, University of Kerala, Kariavattom, Trivandrum, India-695581)

  • Jose Jitto

    (Department of Statistics, University of Kerala, Kariavattom, Trivandrum, India-695581)

Abstract

Recently, A. S. Krishnan, S. M. Sunoj and N. U. Nair [Some reliability properties of extropy for residual and past lifetime random variables, J. Korean Stat. Soc. 2020, 10.1007/s42952-019-00023-x] introduced past extropy for measuring uncertainty contained in past lifetime of random variables. In the present study, we focus on the past extropy of k-records. The motivation for considering past extropy of k-records has been discussed in detail. We have also illustrated the merit of considering past extropy of k-records over past extropy of classical records and past extropy of original random sample using two real life data sets. Some important properties of past extropy of k-records are discussed in this work. We have expressed past extropy of k-records using past extropy of k-records arising from uniform distribution. The work proposes a simple estimator for past extropy of k-records as well.

Suggested Citation

  • 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.
    • Handle: RePEc:bpj:ecqcon:v:35:y:2020:i:1:p:25-38:n:2
    DOI: 10.1515/eqc-2019-0023
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    References listed on IDEAS

    as
    1. Goel, Ritu & Taneja, H.C. & Kumar, Vikas, 2018. "Measure of entropy for past lifetime and k-record statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 623-631.
    2. Jose, Jitto & Abdul Sathar, E.I., 2019. "Residual extropy of k-record values," Statistics & Probability Letters, Elsevier, vol. 146(C), pages 1-6.
    3. M. Madadi & M. Tata, 2014. "Shannon Information In k-records," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(15), pages 3286-3301, August.
    4. Tahmasebi, Saeid & Eskandarzadeh, Maryam, 2017. "Generalized cumulative entropy based on kth lower record values," Statistics & Probability Letters, Elsevier, vol. 126(C), pages 164-172.
    Full references (including those not matched with items on IDEAS)

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