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On Testing Exponentiality Against DMRL Alternatives

Author

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  • Anis Mohammed Z.

    (SQC & OR Unit Indian Statistical Institute 203, B T Road Calcutta – 700 108, India.)

Abstract

A new test statistic for testing exponentiality against DMRL property of life distributions is introduced in this paper. Critical values are tabulated for small and moderate sample sizes based on Monte Carlo simulation. Two sets of real data are used as examples to elucidate the use of the proposed test procedure for practical reliability analysis. The performance of the proposed test statistic is compared with other established procedures described in the literature, and it is shown that the proposed test procedure has a similar performance.

Suggested Citation

  • Anis Mohammed Z., 2010. "On Testing Exponentiality Against DMRL Alternatives," Stochastics and Quality Control, De Gruyter, vol. 25(2), pages 281-299, January.
    • Handle: RePEc:bpj:ecqcon:v:25:y:2010:i:2:p:281-299:n:11
    DOI: 10.1515/eqc.2010.020
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    References listed on IDEAS

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    1. Fernandez-Ponce, J. M. & Infante-Macias, R. & Munoz-Perez, J., 1996. "Characterization of lifetime distributions based on a quantile dispersion measure," Computational Statistics & Data Analysis, Elsevier, vol. 21(5), pages 547-561, May.
    2. Li, Xiaohu & Li, Zehui & Jing, Bing-Yi, 2000. "Some results about the NBUC class of life distributions," Statistics & Probability Letters, Elsevier, vol. 46(3), pages 229-237, February.
    3. Abu-Youssef, S. E., 2002. "A moment inequality for decreasing (increasing) mean residual life distributions with hypothesis testing application," Statistics & Probability Letters, Elsevier, vol. 57(2), pages 171-177, April.
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