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

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 ge...

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Vydáno v:Communications in statistics. Theory and methods Ročník 49; číslo 15; s. 3589 - 3608
Hlavní autoři: Wang, Liang, Zuo, Xuanjia, Tripathi, Yogesh Mani, Wang, Junyuan
Médium: Journal Article
Jazyk:angličtina
Vydáno: Philadelphia Taylor & Francis 02.08.2020
Taylor & Francis Ltd
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ISSN:0361-0926, 1532-415X
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Shrnutí: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.
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ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2019.1710759