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Reliability analysis of multicomponent stress–strength reliability from a bathtub-shaped distribution

Author

Listed:
  • Liang Wang
  • Ke Wu
  • Yogesh Mani Tripathi
  • Chandrakant Lodhi

Abstract

In this paper, inference for a multicomponent stress–strength model is studied. When latent strength and stress random variables follow a bathtub-shaped distribution and the failure times are Type-II censored, the maximum likelihood estimate of the multicomponent stress–strength reliability (MSR) is established when there are common strength and stress parameters. Approximate confidence interval is also constructed by using the asymptotic distribution theory and delta method. Furthermore, another alternative generalized point and confidence interval estimators for the MSR are constructed based on pivotal quantities. Moreover, the likelihood and the pivotal quantities-based estimates for the MSR are also provided under unequal strength and stress parameter case. To compare the equivalence of the stress and strength parameters, the likelihood ratio test for hypothesis of interest is also provided. Finally, simulation studies and a real data example are given for illustration.

Suggested Citation

  • Liang Wang & Ke Wu & Yogesh Mani Tripathi & Chandrakant Lodhi, 2022. "Reliability analysis of multicomponent stress–strength reliability from a bathtub-shaped distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 49(1), pages 122-142, January.
    • Handle: RePEc:taf:japsta:v:49:y:2022:i:1:p:122-142
    DOI: 10.1080/02664763.2020.1803808
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