Statistical Analysis for Constant-Stress Accelerated Life Test With Weibull Distribution Under Adaptive Type-II Hybrid Censored Data

In this paper, we discuss the point and interval estimates of the parameters from Weibull distribution based on adaptive Type-II progressively hybrid censored data in constant-stress accelerated life test using maximum likelihood estimation (MLE) methods and Bayesian estimation (BE). The Bayes estim...

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Main Authors: Wei Cui, Zaizai Yan, Xiuyun Peng
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8888171/
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author Wei Cui
Zaizai Yan
Xiuyun Peng
author_facet Wei Cui
Zaizai Yan
Xiuyun Peng
author_sort Wei Cui
collection DOAJ
description In this paper, we discuss the point and interval estimates of the parameters from Weibull distribution based on adaptive Type-II progressively hybrid censored data in constant-stress accelerated life test using maximum likelihood estimation (MLE) methods and Bayesian estimation (BE). The Bayes estimates cannot be obtained in explicit form. A hybrid Markov chain Monte Carlo method is applied to compute the approximate Bayes estimates and the corresponding credible intervals. Moreover, the Monte Carlo simulation is performed to compare the performance of the proposed methods. Finally, an actual data set is analyzed for illustrative purposes.
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spelling doaj.art-a83bd426949f440ab4e52c853e7bd5522022-12-21T19:58:04ZengIEEEIEEE Access2169-35362019-01-01716533616534410.1109/ACCESS.2019.29506998888171Statistical Analysis for Constant-Stress Accelerated Life Test With Weibull Distribution Under Adaptive Type-II Hybrid Censored DataWei Cui0https://orcid.org/0000-0002-1071-6462Zaizai Yan1Xiuyun Peng2College of Science, Inner Mongolia University of Technology, Hohhot, ChinaCollege of Science, Inner Mongolia University of Technology, Hohhot, ChinaCollege of Science, Inner Mongolia University of Technology, Hohhot, ChinaIn this paper, we discuss the point and interval estimates of the parameters from Weibull distribution based on adaptive Type-II progressively hybrid censored data in constant-stress accelerated life test using maximum likelihood estimation (MLE) methods and Bayesian estimation (BE). The Bayes estimates cannot be obtained in explicit form. A hybrid Markov chain Monte Carlo method is applied to compute the approximate Bayes estimates and the corresponding credible intervals. Moreover, the Monte Carlo simulation is performed to compare the performance of the proposed methods. Finally, an actual data set is analyzed for illustrative purposes.https://ieeexplore.ieee.org/document/8888171/Constant-stress accelerated life testWeibull distributionadaptive type-II progressively hybrid censoringMarkov chain Monte Carlo method
spellingShingle Wei Cui
Zaizai Yan
Xiuyun Peng
Statistical Analysis for Constant-Stress Accelerated Life Test With Weibull Distribution Under Adaptive Type-II Hybrid Censored Data
IEEE Access
Constant-stress accelerated life test
Weibull distribution
adaptive type-II progressively hybrid censoring
Markov chain Monte Carlo method
title Statistical Analysis for Constant-Stress Accelerated Life Test With Weibull Distribution Under Adaptive Type-II Hybrid Censored Data
title_full Statistical Analysis for Constant-Stress Accelerated Life Test With Weibull Distribution Under Adaptive Type-II Hybrid Censored Data
title_fullStr Statistical Analysis for Constant-Stress Accelerated Life Test With Weibull Distribution Under Adaptive Type-II Hybrid Censored Data
title_full_unstemmed Statistical Analysis for Constant-Stress Accelerated Life Test With Weibull Distribution Under Adaptive Type-II Hybrid Censored Data
title_short Statistical Analysis for Constant-Stress Accelerated Life Test With Weibull Distribution Under Adaptive Type-II Hybrid Censored Data
title_sort statistical analysis for constant stress accelerated life test with weibull distribution under adaptive type ii hybrid censored data
topic Constant-stress accelerated life test
Weibull distribution
adaptive type-II progressively hybrid censoring
Markov chain Monte Carlo method
url https://ieeexplore.ieee.org/document/8888171/
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AT zaizaiyan statisticalanalysisforconstantstressacceleratedlifetestwithweibulldistributionunderadaptivetypeiihybridcensoreddata
AT xiuyunpeng statisticalanalysisforconstantstressacceleratedlifetestwithweibulldistributionunderadaptivetypeiihybridcensoreddata