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A test of exponentiality against DMTTF alternatives via L-statistics

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

Abstract

A consistent test for detecting DMTTF property is proposed. The exact null distribution of the test statistic as well as its asymptotic distribution have been derived. Efficacy values are calculated, and a simulation study is carried out to assess the performance of the test. Finally, the test is applied to some real-life data sets.

Suggested Citation

  • Bhattacharyya, Dhrubasish & Khan, Ruhul Ali & Mitra, Murari, 2020. "A test of exponentiality against DMTTF alternatives via L-statistics," Statistics & Probability Letters, Elsevier, vol. 165(C).
    • Handle: RePEc:eee:stapro:v:165:y:2020:i:c:s0167715220301565
    DOI: 10.1016/j.spl.2020.108853
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    References listed on IDEAS

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    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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