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Reliability analysis for stress-strength model from a general family of truncated distributions under censored data
Authors:Liang Wang  Xuanjia Zuo  Yogesh Mani Tripathi  Junyuan Wang
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
Abstract: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.
Keywords:Lower truncated model  maximum likelihood estimator  pivotal variable  generalized confidence interval  bootstrap technique
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