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Modified Cumulative Extropies of Doubly Truncated Random Variables

Author

Listed:
  • M. Hashempour

    (University of Hormozgan)

  • M. Mohammadi

    (University of Zabol)

  • S. M. A. Jahanshahi

    (University of Sistan and Baluchestan)

  • A. H. Khammar

    (University of Sistan and Baluchestan)

Abstract

In this paper, we introduce the modified doubly truncated cumulative residual and past extropies, which are generalizations of corresponding cumulative extropies and their dynamic version. We study them in the context of reliability theory. Also, several properties including the proposed measures’ monotonicity, bounds, and uniqueness are investigated. Moreover, non-parametric estimators of the proposed measures are provided. Finally, an application on a real dataset is performed to verify the performance of the estimators.

Suggested Citation

  • M. Hashempour & M. Mohammadi & S. M. A. Jahanshahi & A. H. Khammar, 2024. "Modified Cumulative Extropies of Doubly Truncated Random Variables," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 86(2), pages 558-585, November.
    • Handle: RePEc:spr:sankhb:v:86:y:2024:i:2:d:10.1007_s13571-024-00328-w
    DOI: 10.1007/s13571-024-00328-w
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    References listed on IDEAS

    as
    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. E. I. Abdul Sathar & Dhanya Nair R., 2021. "On dynamic survival extropy," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(6), pages 1295-1313, March.
    4. Murali Rao, 2005. "More on a New Concept of Entropy and Information," Journal of Theoretical Probability, Springer, vol. 18(4), pages 967-981, October.
    5. 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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