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Nonparametric estimation of extropy based measures under right censoring

Author

Listed:
  • R. Dhanya Nair

    (University of Kerala)

  • E. I. Abdul Sathar

    (University of Kerala)

Abstract

This paper proposes nonparametric estimators for extropy-related measures based on the famous Kaplan–Meier estimator and the kernel density estimator for right censored data. Properties such as consistency and asymptotic normality of the proposed kernel estimators under the dependence condition are established. Moreover, the performance of the suggested estimators is evaluated using both simulated and real data sets.

Suggested Citation

  • R. Dhanya Nair & E. I. Abdul Sathar, 2024. "Nonparametric estimation of extropy based measures under right censoring," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(6), pages 2374-2382, June.
    • Handle: RePEc:spr:ijsaem:v:15:y:2024:i:6:d:10.1007_s13198-024-02251-9
    DOI: 10.1007/s13198-024-02251-9
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    References listed on IDEAS

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    1. Bhupendra Singh & Shubhi Rathi & Gajraj Singh & Puneet Kumar Gupta, 2022. "A change-time hazard rate model and its goodness of fit," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(4), pages 1903-1912, August.
    2. Devendra Kumar, 2017. "The Singh–Maddala distribution: properties and estimation," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 1297-1311, November.
    3. Ying, Z. & Wei, L. J., 1994. "The Kaplan-Meier Estimate for Dependent Failure Time Observations," Journal of Multivariate Analysis, Elsevier, vol. 50(1), pages 17-29, July.
    4. Cai, Zongwu, 1998. "Kernel Density and Hazard Rate Estimation for Censored Dependent Data," Journal of Multivariate Analysis, Elsevier, vol. 67(1), pages 23-34, October.
    5. Herbert Hove & Frank Beichelt & Parmod K. Kapur, 2017. "Estimation of the Frank copula model for dependent competing risks in accelerated life testing," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(4), pages 673-682, December.
    6. Eckhard Liebscher, 2002. "Kernel Density and Hazard Rate Estimation for Censored Data under α-Mixing Condition," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 54(1), pages 19-28, March.
    7. Emmanuel Hagenimana & Song Lixin & Patrick Kandege, 2018. "Study of nonparametric estimation details of instant system availability average," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 9(2), pages 467-481, April.
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