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Jackknife empirical likelihood ratio test for testing mean time to failure order

Author

Listed:
  • Deemat C. Mathew

    (St. Thomas College Palai)

  • Reeba Mary Alex

    (St. Thomas College Palai)

  • Sudheesh K. Kattumannil

    (Indian Statistical Institute)

Abstract

In this paper, we propose a new non-parametric test for testing mean time to failure order. The asymptotic properties of the proposed test statistic are studied. We also develop a jackknife empirical likelihood (JEL) ratio test for testing the mean time to failure order. Using the Monte Carlo simulation study, we establish that the JEL ratio test has good power under various alternatives. Finally, we illustrate the proposed test procedure using two real data sets.

Suggested Citation

  • Deemat C. Mathew & Reeba Mary Alex & Sudheesh K. Kattumannil, 2024. "Jackknife empirical likelihood ratio test for testing mean time to failure order," Statistical Papers, Springer, vol. 65(1), pages 79-92, February.
    • Handle: RePEc:spr:stpapr:v:65:y:2024:i:1:d:10.1007_s00362-022-01385-x
    DOI: 10.1007/s00362-022-01385-x
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    References listed on IDEAS

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    4. K. K. Sudheesh & G. Asha & K. M. Jagathnath Krishna, 2021. "On the mean time to failure of an age-replacement model in discrete time," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(11), pages 2569-2585, June.
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    7. Zhao, Yichuan & Meng, Xueping & Yang, Hanfang, 2015. "Jackknife empirical likelihood inference for the mean absolute deviation," Computational Statistics & Data Analysis, Elsevier, vol. 91(C), pages 92-101.
    8. Yongcheng Qi, 2018. "Jackknife Empirical Likelihood Methods," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 7(2), pages 20-22, June.
    9. Ruhul Ali Khan & Dhrubasish Bhattacharyya & Murari Mitra, 2021. "Exact and asymptotic tests of exponentiality against nonmonotonic mean time to failure type alternatives," Statistical Papers, Springer, vol. 62(6), pages 3015-3045, December.
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