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Experimental Design for the Lifetime Performance Index of Weibull Products Based on the Progressive Type I Interval Censored Sample

Shu-Fei Wu, Yu-Cheng Wu, Chi-Han Wu, Wei-Tsung Chang
2021 Symmetry  
In this study, the experimental design is developed based on the testing procedure for the lifetime performance index of products following Weibull lifetime distribution under progressive type I interval  ...  The asymptotic distribution of the maximum likelihood estimator of the lifetime performance index is utilized to develop the testing procedure.  ...  For products following Weibull lifetime distribution, Wu and Lin [15] proposed a hypothesis testing procedure for the lifetime performance index using progressive type I interval censored data, and the  ... 
doi:10.3390/sym13091691 fatcat:4u35crrwejdivkjkbxjxeo55vu

Assessing the Lifetime Performance Index Using Exponentiated Frechet Distribution with the Progressive First-Failure-Censoring Scheme

Ahmed Abo-Elmagd Soliman
2014 American Journal of Theoretical and Applied Statistics  
In practice, lifetime performance index C is a popular means to assess the performance and potential of their processes, where L is the lower specification limit.  ...  This study constructs the maximum likelihood (ML) and the Bayesian estimators of C for the exponentiated Frechet (EF) model with progressive first-failure-censoring scheme.  ...  [14] also proposed a hypothesis testing procedure based on a MLE of L C to evaluate product quality for exponential distribution under the progressively type II right censored sample.  ... 
doi:10.11648/j.ajtas.20140306.11 fatcat:ok7ynskmobfrfbsgmleqfnkpta

Bayesian Testing Procedure on the Lifetime Performance Index of Products Following Chen Lifetime Distribution Based on the Progressive Type-II Censored Sample

Shu-Fei Wu, Wei-Tsung Chang
2021 Symmetry  
The lifetime performance index CL is frequently used to monitor the larger-the-better lifetime performance of products.  ...  With the high demands on the quality of high-tech products for consumers, assuring the lifetime performance is a very important task for competitive manufacturing industries.  ...  For the progressive type-I interval censored sample, Wu [7] proposed the testing assessment on the lifetime performance index of products following a Chen lifetime distribution.  ... 
doi:10.3390/sym13081322 fatcat:mqncmykexzcojitmoeod24evku

The Evaluation on the Process Capability Index CL for Exponentiated Frech'et Lifetime Product under Progressive Type I Interval Censoring

Shu-Fei Wu, Wei-Tsung Chang
2021 Symmetry  
the lifetime performance reached the pre-assigned level of significance with a given lower specification limit under progressive type I interval censoring.  ...  The maximum likelihood estimator for CL for lifetimes with exponentiated Frech'et distribution is derived to develop a computational testing procedure so that experimenters can implement it to test whether  ...  In this research, we make use of this index to assess the lifetime performance for products with exponentiated Frech'et distribution lifetime. For other kinds of lifetime distributions, Tong et al.  ... 
doi:10.3390/sym13061032 fatcat:khxd6e2ahbg7plczl5wdzotyry

Assessing the lifetime performance index of products with the exponential distribution under progressively type II right censored samples

Wen-Chuan Lee, Jong-Wuu Wu, Ching-Wen Hong
2009 Journal of Computational and Applied Mathematics  
The new testing procedure can be employed by product managers to assess whether the lifetime of products (or items) adheres to the required level in the condition of known L.  ...  In this paper, under the assumption of exponential distribution, this study constructs a maximum likelihood estimator (MLE) of C L based on the progressively type II right censored sample.  ...  Acknowledgements The authors wish to thank the referee for valuable suggestions which led to the improvement of this paper. This  ... 
doi:10.1016/j.cam.2009.04.018 fatcat:ebqejwibtbaapn7tuwfjxupfbi

A Study on the Experimental Design for the Lifetime Performance Index of Rayleigh Lifetime Distribution under Progressive Type I Interval Censoring

Shu-Fei Wu, Tzu-Hsuan Liu, Yu-Hua Lai, Wei-Tsung Chang
2022 Mathematics  
The lifetime performance index is used in this research for the assessment of the lifetime performance of products following the Rayleigh distribution.  ...  use to reach the given power level and minimize the total experimental cost under progressive type I interval censoring.  ...  For products following Weibull lifetime distribution, Wu and Lin [11] proposed a hypothesis testing procedure for the lifetime performance index using progressive type I interval censored data.  ... 
doi:10.3390/math10030517 fatcat:xi7synnebzdgpcmwikjdwnk6pq

Statistical analysis for constant-stress accelerated life test with Weibull distribution under adaptive Type-II hybrid censored data

Wei Cui, Zaizai Yan, Xiuyun Peng
2019 IEEE Access  
INDEX TERMS Constant-stress accelerated life test, Weibull distribution, adaptive type-II progressively hybrid censoring, Markov chain Monte Carlo method.  ...  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  ...  ACKNOWLEDGMENT The authors want to acknowledge the authors of referred literature. VOLUME 7, 2019  ... 
doi:10.1109/access.2019.2950699 fatcat:piv42xqk6fgydbvgv6kfd3ufha

On Efficient Monitoring of Weibull Lifetimes Using Censored Median Hybrid DEWMA Chart

Syed Muhammad Muslim Raza, Sajid Ali, Ismail Shah, Lichen Wang, Zhen Yue
2020 Complexity  
A control chart named as the hybrid double exponentially weighted moving average (HDEWMA) to monitor the mean of Weibull distribution in the presence of type-I censored data is proposed in this study.  ...  In particular, the focus of this study is to use the conditional median (CM) for the imputation of censored observations. The control chart performance is assessed by the average run length (ARL).  ...  Acknowledgments is study was supported by the program of Shandong Province Natural Science Foundation of China (ZR2018BC012).  ... 
doi:10.1155/2020/9232506 fatcat:ibqkp7sxo5b7dkd2a5srqrqll4

A Bayes Inference for Step-Stress Accelerated Life Testing

Naijun Sha, Hao Yang Teng
2017 International Journal of Statistics and Probability  
Two sampling methods through Markov chain Monte Carlo algorithms are employed for posterior inference of parameters.  ...  In this article, we present a Bayesian analysis with convex tent priors for step-stress accelerated life testing (SSALT) using a proportional hazard (PH) model.  ...  (Lee & Pan, 2008) presented a simple Bayes inference model for a two-step-stress accelerated life test under type-II censored samples and exponentially distributed failure times at each stress.  ... 
doi:10.5539/ijsp.v6n6p1 fatcat:vhlebut75fd3thaly5espk4amu

Asymmetric Power Hazard Distribution for COVID-19 Mortality Rate under Adaptive Type-II Progressive Censoring: Theory and Inferences

Mahmoud El-Morshedy, Rashad M. El-Sagheer, Mohamed S. Eliwa, Khaled M. Alqahtani, Mario Versaci
2022 Computational Intelligence and Neuroscience  
based on adaptive Type-II progressive censoring.  ...  This article investigates the estimation of the parameters for power hazard function distribution and some lifetime indices such as reliability function, hazard rate function, and coefficient of variation  ...  [18] constructed the Bayesian and non-Bayesian approaches for the lifetime performance index with the progressive Type-II censored sample from the PHFD.  ... 
doi:10.1155/2022/5134507 pmid:35463230 pmcid:PMC9021994 fatcat:ymltafe2m5grzfb5wacbvglkri

Bayesian Inference for Step-Stress Partially Accelerated Competing Failure Model under Type II Progressive Censoring

Xiaolin Shi, Fen Liu, Yimin Shi
2016 Mathematical Problems in Engineering  
This paper deals with the Bayesian inference on step-stress partially accelerated life tests using Type II progressive censored data in the presence of competing failure causes.  ...  In addition, the comparisons of the three estimates of unknown parameters and acceleration factor for different sample sizes and different progressive censoring schemes are conducted through Monte Carlo  ...  Han and Kundu [1] studied the statistical analysis of the stepstress accelerated life test (SSALT) with competing risks for failure from the generalized exponential distribution under Type I censoring  ... 
doi:10.1155/2016/2097581 fatcat:zjlxyz4nwvgbfoepqx5wnlzyzq

Inference for a Step-Stress Model With Competing Risks for Failure From the Generalized Exponential Distribution Under Type-I Censoring

David Han, Debasis Kundu
2015 IEEE Transactions on Reliability  
In this article, the step-stress model under Type-I censoring is considered when the different risk factors have s-independent generalized exponential lifetime distributions.  ...  The precision of the estimates and the performance of the confidence intervals are assessed through extensive Monte Carlo simulations, and lastly, the methods of inference discussed  ...  In this paper, we consider the problem of point and interval estimations for a general stepstress model under Type-I censoring when the lifetime distributions of the different risk factors are s-independent  ... 
doi:10.1109/tr.2014.2336392 fatcat:2o4d3kgvrfgonhyj6wuvb4xko4

Survival Analysis Approach to Reliability, Survivability and Prognostics and Health Management (PHM)

Zhanshan Ma, Axel W. Krings
2008 IEEE Aerospace Conference. Proceedings  
on their applications to reliability and computer science.  ...  This paper is the first in a four part series in which we review state-of-the-art studies in survival (univariate) analysis, competing risks analysis, and multivariate survival analysis, with focusing  ...  If C i is specified with different distributions, each with density mass at one fixed point, Type-I censoring can then be treated as a special case of random censoring.  ... 
doi:10.1109/aero.2008.4526634 fatcat:kd7kxbnihrbs3kkuj5ytxryfgy

A sequential design for extreme quantiles estimation under binary sampling [article]

Michel Broniatowski, Emilie Miranda (LPSM
2020 arXiv   pre-print
The model is GEV or Weibull, and sequential estimation of its parameters involves an improved maximum likelihood procedure for binary data, due to the large uncertainty associated with such a restricted  ...  The method consists in gradually targeting the tail of the distribution and sampling under truncated distributions.  ...  The test procedure consists in splitting the data set in N samples and computing the empirical distribution of the extrema of each sample.  ... 
arXiv:2004.01563v1 fatcat:3yzbfvjx4nhknnyuc32xgq4w3m

Reliability assessment using degradation models: bayesian and classical approaches

Marta Afonso Freitas, Enrico Antonio Colosimo, Thiago Rezende dos Santos, Magda C. Pires
2010 Pesquisa Operacional  
Traditionally, reliability assessment of devices has been based on (accelerated) life tests.  ...  However, for highly reliable products, little information about reliability is provided by life tests in which few or no failures are typically observed.  ...  Acknowledgements The authors are grateful to Fapemig (Fundação de Amparo à Pesquisa de Minas Gerais) and CNPq (Conselho Nacional de Pesquisa) for the support of this research.  ... 
doi:10.1590/s0101-74382010000100010 fatcat:hakiga2cvndznblipsnaivsvna
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