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Reliability analysis for stress-strength model from a general family of truncated distributions under censored data

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  • Liang Wang
  • Xuanjia Zuo
  • Yogesh Mani Tripathi
  • Junyuan Wang

Abstract

Under progressive Type-II censoring, inference of stress-strength reliability (SSR) is studied for a general family of lower truncated distributions. When the lifetime models of the strength and stress variables have arbitrary and common parameters, maximum likelihood and pivotal quantities based generalized estimators of SSR are established, respectively. Confidence intervals are constructed based on generalized pivotal quantities and bootstrap technique under different parameter cases as well. In addition, to compare the equivalence of the strength and stress parameters, likelihood ratio testing of interested parameters is provided as a complementary. Simulation studies and two real-life data examples are provided to investigate the performance of proposed methods.

Suggested Citation

  • Liang Wang & Xuanjia Zuo & Yogesh Mani Tripathi & Junyuan Wang, 2020. "Reliability analysis for stress-strength model from a general family of truncated distributions under censored data," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(15), pages 3589-3608, August.
  • Handle: RePEc:taf:lstaxx:v:49:y:2020:i:15:p:3589-3608
    DOI: 10.1080/03610926.2019.1710759
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    Cited by:

    1. Manal M. Yousef & Amal S. Hassan & Abdullah H. Al-Nefaie & Ehab M. Almetwally & Hisham M. Almongy, 2022. "Bayesian Estimation Using MCMC Method of System Reliability for Inverted Topp–Leone Distribution Based on Ranked Set Sampling," Mathematics, MDPI, vol. 10(17), pages 1-26, August.

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