Reliability analysis for stress-strength model from a general family of truncated distributions under censored data |
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Authors: | Liang Wang Xuanjia Zuo Yogesh Mani Tripathi Junyuan Wang |
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Institution: | 1. School of Mathematics, Yunnan Normal University, Kunming, PR China;2. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, PR China;3. liang610112@163.com;5. Department of Mathematics, Indian Institute of Technology Patna, Bihta, India;6. School of Mathematics and Statistics, Xidian University, Xi’an, PR China |
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Abstract: | AbstractUnder 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. |
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Keywords: | Lower truncated model maximum likelihood estimator pivotal variable generalized confidence interval bootstrap technique |
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