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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  
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.  ...  The lifetime performance index CL is frequently used to monitor the larger-the-better lifetime performance of products.  ...  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

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  
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.  ...  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.  ...  [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

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  
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.  ...  Finally, we give one example to illustrate the use of the testing algorithmic procedure under given significance level.  ...  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

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.  ...  We present the likelihood inferences on the lifetime performance index CL to evaluate the performance of lifetimes of products following the skewed Exponentiated Frech'et distribution in many manufacturing  ...  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

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 the Gompertz lifetime distribution, a testing procedure for the lifetime performance index was proposed by Wu and Hsieh [13] based on a progressive type I interval censored sample  ... 
doi:10.3390/sym13091691 fatcat:4u35crrwejdivkjkbxjxeo55vu

Bayesian Statistical Analysis of Lifetime Performance Index of Exponential Product Under Precautionary Loss Function

Zhaoren Chen, Wanzhen Liu
2019 IOP Conference Series: Materials Science and Engineering  
The purpose of this paper is to study the Bayesian estimation of life performance index when product's life obeys exponential distribution based on complete samples.  ...  The Bayesian estimator of the life performance index is obtained when the prior distribution of the unknown parameter is the Gama prior distribution and the loss function used in this paper is the precautionary  ...  Acknowledgments The author Wanzhen Liu would like to thank to the support of Scientific Research Project in Hunan Province Department of Education (16C0198).  ... 
doi:10.1088/1757-899x/563/4/042021 fatcat:czctwnhptvga7oaxsf7pjqdx3y

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.  ...  [4] assessed the lifetime performance index of products with an exponential distribution. Wu et al.  ... 
doi:10.3390/math10030517 fatcat:xi7synnebzdgpcmwikjdwnk6pq

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

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

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

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

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.  ...  Using the asymptotic distributions and the parametric bootstrap method, we also discuss the construction of confidence intervals for the parameters.  ...  For instance, when k = 2, j = 2, and α 1 = α 2 = 1, the failure of a test unit will be caused by one of two competing risks from the exponential distributions in a simple step-stress ALT under Type-I censoring  ... 
doi:10.1109/tr.2014.2336392 fatcat:2o4d3kgvrfgonhyj6wuvb4xko4

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

Robust inference for non-destructive one-shot device testing under step-stress model with exponential lifetimes [article]

Narayanaswamy Balakrishnan, Elena Castilla, María Jaenada, Leandro Pardo
2022 arXiv   pre-print
ALTs with exponential lifetime distribution.  ...  One-shot devices analysis involves an extreme case of interval censoring, wherein one can only know whether the failure time is either before or after the test time.  ...  Further, the mean lifetime of a device under an exponential lifetime distribution with parameter λ is E[T ] = 1/λ.  ... 
arXiv:2204.11560v1 fatcat:ud7qfzdht5dc5mzmcoq6xzxtly

Latent Class Analysis with Semi-parametric Proportional Hazards Submodel for Time-to-event Data [article]

Teng Fei, John Hanfelt, Limin Peng
2022 arXiv   pre-print
We propose a new method based on non-parametric maximum likelihood estimator (NPMLE), which facilitates theoretically validated inference procedure for covariate effects and cumulative hazard functions  ...  Latent class analysis (LCA) is a useful tool to investigate the heterogeneity of a disease population with time-to-event data.  ...  The authors wish to thank National Alzheimer's Coordinating Center for making the Uniform Data Set available for our analysis.  ... 
arXiv:2202.00775v1 fatcat:4yrbybe6n5bopdj3en3evxlgsu
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