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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Published in:Communications in statistics. Theory and methods Vol. 49; no. 15; pp. 3589 - 3608
Main Authors: Wang, Liang, Zuo, Xuanjia, Tripathi, Yogesh Mani, Wang, Junyuan
Format: Journal Article
Language:English
Published: Philadelphia Taylor & Francis 02.08.2020
Taylor & Francis Ltd
Subjects:
bootstrap technique
Computer simulation
Confidence intervals
generalized confidence interval
Likelihood ratio
Lower truncated model
Mathematical models
maximum likelihood estimator
Parameters
pivotal variable
Reliability analysis
Strength
ISSN:0361-0926, 1532-415X
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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.
AbstractList 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.
Author Zuo, Xuanjia
Wang, Liang
Wang, Junyuan
Tripathi, Yogesh Mani
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  givenname: Junyuan
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  fullname: Wang, Junyuan
  organization: School of Mathematics and Statistics, Xidian University
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SubjectTerms bootstrap technique
Computer simulation
Confidence intervals
generalized confidence interval
Likelihood ratio
Lower truncated model
Mathematical models
maximum likelihood estimator
Parameters
pivotal variable
Reliability analysis
Strength
Title Reliability analysis for stress-strength model from a general family of truncated distributions under censored data
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