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Test for harmonic mean residual life function: A goodness of fit approach

Author

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  • Bera, Smaranika
  • Bhattacharyya, Dhrubasish
  • Khan, Ruhul Ali
  • Mitra, Murari

Abstract

A family of goodness of fit tests is proposed involving dominance in harmonic mean residual life (HMRL) order. We develop a test procedure based on a weighted integral approach. The test statistic proposed has been shown to be asymptotically normal — in addition the consistency of the proposed test has been established. Furthermore, the performance of the test has been assessed by means of a simulation study. Finally, we apply our test to a real-life dataset for purposes of illustration.

Suggested Citation

  • Bera, Smaranika & Bhattacharyya, Dhrubasish & Khan, Ruhul Ali & Mitra, Murari, 2023. "Test for harmonic mean residual life function: A goodness of fit approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 58-70.
    • Handle: RePEc:eee:matcom:v:203:y:2023:i:c:p:58-70
    DOI: 10.1016/j.matcom.2022.06.008
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    References listed on IDEAS

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    1. P. Wong & S. Wong, 1982. "A curtailed test for the shape parameter of the Weibull distribution," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 29(1), pages 203-209, December.
    2. Pellerey, Franco, 1995. "On the preservation of some orderings of risks under convolution," Insurance: Mathematics and Economics, Elsevier, vol. 16(1), pages 23-30, April.
    3. Lefevre, Claude & Utev, Sergey, 2001. "Comparison of individual risk models," Insurance: Mathematics and Economics, Elsevier, vol. 28(1), pages 21-30, February.
    4. Nanda, Asok K. & Jain, Kanchan & Singh, Harshinder, 1998. "Preservation of some partial orderings under the formation of coherent systems," Statistics & Probability Letters, Elsevier, vol. 39(2), pages 123-131, August.
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    Cited by:

    1. Walid B. H. Etman & Mohamed S. Eliwa & Hana N. Alqifari & Mahmoud El-Morshedy & Laila A. Al-Essa & Rashad M. EL-Sagheer, 2023. "The NBRULC Reliability Class: Mathematical Theory and Goodness-of-Fit Testing with Applications to Asymmetric Censored and Uncensored Data," Mathematics, MDPI, vol. 11(13), pages 1-22, June.

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