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Stress−strength reliability with general form distributions

Author

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  • Nahed A. Mokhlis
  • Emad J. Ibrahim
  • Dina M. Gharieb

Abstract

In this article, we present characterizations, associated with the stress−strength reliability, of distributions with some general exponential and general inverse exponential forms. We obtain a general form for stress−strength reliability, when the distributions of the stress and the strength are non identical and independently distributed with either form. We obtain different point and interval estimators of stress−strength reliability. The theoretical results obtained can be directly applied whenever the distributions of the stress and the strength possess the forms discussed. A simulation study is carried out showing satisfactory performance of the estimators obtained. Moreover, a real data example is presented.

Suggested Citation

  • Nahed A. Mokhlis & Emad J. Ibrahim & Dina M. Gharieb, 2017. "Stress−strength reliability with general form distributions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(3), pages 1230-1246, February.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:3:p:1230-1246
    DOI: 10.1080/03610926.2015.1014110
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    Cited by:

    1. Liang Wang & Huizhong Lin & Kambiz Ahmadi & Yuhlong Lio, 2021. "Estimation of Stress-Strength Reliability for Multicomponent System with Rayleigh Data," Energies, MDPI, vol. 14(23), pages 1-23, November.
    2. Yuhlong Lio & Tzong-Ru Tsai & Liang Wang & Ignacio Pascual Cecilio Tejada, 2022. "Inferences of the Multicomponent Stress–Strength Reliability for Burr XII Distributions," Mathematics, MDPI, vol. 10(14), pages 1-28, July.

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