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Residual extropy of k-record values

Author

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  • Jose, Jitto
  • Abdul Sathar, E.I.

Abstract

Recently, extropy was defined as an alternative measure of uncertainity to that of entropy. But in measuring uncertainity about remaining lifetime of a component entropy was not much useful and hence residual entropy was formulated. Analogous to residual entropy, residual extropy was defined and used to study about the uncertainity of remaining life of a unit. In this paper, we defined the residual extropy of k-records arising from any continuous distribution in terms of residual extropy of k-records arising from uniform distribution. We also obtain lower bound for residual extropy of upper and lower k-records arising from any continuous probability distribution. Further, we discuss the monotone property of residual extropy of both upper and lower k-records.

Suggested Citation

  • Jose, Jitto & Abdul Sathar, E.I., 2019. "Residual extropy of k-record values," Statistics & Probability Letters, Elsevier, vol. 146(C), pages 1-6.
    • Handle: RePEc:eee:stapro:v:146:y:2019:i:c:p:1-6
    DOI: 10.1016/j.spl.2018.10.019
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    References listed on IDEAS

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    1. Qiu, Guoxin, 2017. "The extropy of order statistics and record values," Statistics & Probability Letters, Elsevier, vol. 120(C), pages 52-60.
    2. Guoxin Qiu & Kai Jia, 2018. "Extropy estimators with applications in testing uniformity," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 30(1), pages 182-196, January.
    3. Qiu, Guoxin & Jia, Kai, 2018. "The residual extropy of order statistics," Statistics & Probability Letters, Elsevier, vol. 133(C), pages 15-22.
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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. Kattumannil, Sudheesh K. & E.P., Sreedevi, 2022. "Non-parametric estimation of cumulative (residual) extropy," Statistics & Probability Letters, Elsevier, vol. 185(C).

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