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A simple test of exponentiality against NWBUE family of life distributions

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  • M. Z. Anis
  • M. Mitra

Abstract

In this paper we propose a simple procedure to test the null hypothesis of exponentiality against the alternative that it belongs to the new worse then better than used in expectation (NWBUE) family. The test is shown to be consistent and the asymptotic distribution of the test statistic has been obtained. The performance of the test against various classes of alternatives has been studied by means of simulation. Copyright © 2005 John Wiley & Sons, Ltd.

Suggested Citation

  • M. Z. Anis & M. Mitra, 2005. "A simple test of exponentiality against NWBUE family of life distributions," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 21(1), pages 45-53, January.
    • Handle: RePEc:wly:apsmbi:v:21:y:2005:i:1:p:45-53
    DOI: 10.1002/asmb.549
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    Cited by:

    1. Ghosh, Shyamal & Mitra, Murari, 2017. "A Hollander–Proschan type test when ageing is not monotone," Statistics & Probability Letters, Elsevier, vol. 121(C), pages 119-127.
    2. Anis, M.Z. & Ghosh, Abhik, 2015. "Monte Carlo comparison of tests of exponentiality against NWBUE alternatives," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 115(C), pages 1-11.
    3. Anis M. Z., 2011. "Testing Exponentiality Against NBUL Alternatives Using Positive and Negative Fractional Moments," Stochastics and Quality Control, De Gruyter, vol. 26(2), pages 215-234, January.
    4. M. Anis, 2014. "Tests of non-monotonic stochastic aging notions in reliability theory," Statistical Papers, Springer, vol. 55(3), pages 691-714, August.

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