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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Format: | Article |
Language: | English |
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IEEE
2019-01-01
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Series: | IEEE Access |
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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. |
first_indexed | 2024-12-20T01:33:05Z |
format | Article |
id | doaj.art-a83bd426949f440ab4e52c853e7bd552 |
institution | Directory Open Access Journal |
issn | 2169-3536 |
language | English |
last_indexed | 2024-12-20T01:33:05Z |
publishDate | 2019-01-01 |
publisher | IEEE |
record_format | Article |
series | IEEE Access |
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/ |
work_keys_str_mv | AT weicui statisticalanalysisforconstantstressacceleratedlifetestwithweibulldistributionunderadaptivetypeiihybridcensoreddata AT zaizaiyan statisticalanalysisforconstantstressacceleratedlifetestwithweibulldistributionunderadaptivetypeiihybridcensoreddata AT xiuyunpeng statisticalanalysisforconstantstressacceleratedlifetestwithweibulldistributionunderadaptivetypeiihybridcensoreddata |