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Power Evaluation of Some Tests for Inverse Rayleigh Distribution

Author

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  • Vahideh Ahrari

    (Shahrekord University)

  • Parisa Hasanalipour

    (Faculty of Mathematical Sciences, Ferdowsi University of Mashhad)

Abstract

The Inverse Rayleigh distribution has many applications in the area of reliability studies. It is regarded as a model for a lifetime random variable. It is essential to develop an efficient goodness-of-fit test for this distribution. In this paper, the problem of the goodness-of-fit test for the Inverse Rayleigh distribution based on different statistics is studied. Each method is described, and the corresponding test statistics are constructed. The critical values and power comparisons are also obtained using Monte Carlo computations. The results are discussed and interpreted separately.

Suggested Citation

  • Vahideh Ahrari & Parisa Hasanalipour, 2025. "Power Evaluation of Some Tests for Inverse Rayleigh Distribution," Annals of Data Science, Springer, vol. 12(2), pages 739-755, April.
    • Handle: RePEc:spr:aodasc:v:12:y:2025:i:2:d:10.1007_s40745-024-00536-1
    DOI: 10.1007/s40745-024-00536-1
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    References listed on IDEAS

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    1. Chen, Zhenmin, 2000. "A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function," Statistics & Probability Letters, Elsevier, vol. 49(2), pages 155-161, August.
    2. James M. Tien, 2017. "Internet of Things, Real-Time Decision Making, and Artificial Intelligence," Annals of Data Science, Springer, vol. 4(2), pages 149-178, June.
    3. S. M. A. Jahanshahi & A. Habibi Rad & V. Fakoor, 2016. "A Goodness-of-Fit Test for Rayleigh Distribution Based on Hellinger Distance," Annals of Data Science, Springer, vol. 3(4), pages 401-411, December.
    4. Gadde Srinivasa Rao & Sauda Mbwambo, 2019. "Exponentiated Inverse Rayleigh Distribution and an Application to Coating Weights of Iron Sheets Data," Journal of Probability and Statistics, Hindawi, vol. 2019, pages 1-13, April.
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