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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  
type-II censored sample.  ...  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

Lifetime performance evaluation model based on quick response thinking

Kuo-Ching Chiou, Kuen-Suan Chen
2021 Eksploatacja i Niezawodnosc  
However, the censoring type is one of the most commonly used methods due to considerations of manpower and material cost or the timeliness of product launch.  ...  Afterward this study obtained the 100×(1-α)% confidence interval of the lifetime performance index CL as well as created the uniformly most powerful (UMP) test and the power of the test for the product  ...  For example, construct interval estimators and hypothesis testing of the lifetime performance index based on progressive type II right-censored data.  ... 
doi:10.17531/ein.2022.1.1 fatcat:kvdyqr66zjge3g7i74x3j5kq6a

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.  ...  In practice, lifetime performance index C L is used to measure the potential and performance of a process, where L is the lower specification limit.  ...  Acknowledgements The authors wish to thank the referee for valuable suggestions which led to the improvement of this paper. This  ... 
doi:10.1016/ fatcat:ebqejwibtbaapn7tuwfjxupfbi

Bayesian Test for Lifetime Performance Index of Ailamujia Distribution Under Squared Error Loss Function

Lanping Li
2016 Pure and Applied Mathematics Journal  
The aim of this paper is to estimate the lifetime performance index of Ailamujia distribution. A Bayesian test procedure is developed under squared error loss function.  ...  Firstly, Bayes estimation of life performance index is derived, then a Bayesian test procedure for lifetime performance index using posteriori probability ratio test method.  ...  The author also gratefully acknowledges the helpful comments and suggestions of the reviewers, which have improved the presentation.  ... 
doi:10.11648/j.pamj.20160506.12 fatcat:4ohxm6ty2rgjzbikax6qrdkivi

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  ...  Results The Maximum Likelihood Estimator for the Lifetime Performance Index and the Testing Procedure Let X 1 , . . . , X m be the progressive type I interval censored sample observed at time points  ... 
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  ...  For illustrative aims, one practical example is given for the implementation of our proposed sampling design to collect the progressive type I interval censored sample so that the users can use this sample  ...  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

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

Optimization of the Accelerated Degradation Test Plan for Electrical Connector Contact Pairs Based on a Nonlinear Wiener Process

Ping Qian, Lei Hong, Wenhua Chen, Yongwang Qian, Zhe Wang, Huajun Yao
2020 Mathematical Problems in Engineering  
After determining the censored time at each stress level, the test stress level, the sample distribution ratio at each stress level, and the test interval at the one-third power scale of time are taken  ...  The performance of most products fluctuates randomly in the degradation process, so it is suitable to use Wiener process.  ...  Acknowledgments is work was supported by Key Program of the National Natural Science Foundation of China under Grant U1709210.  ... 
doi:10.1155/2020/5828374 doaj:194530ff29df4ab8ba5d4b10b4acd95a fatcat:udxlnmpi6rhjzi7g7mlms65mne

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  ...  We implement the following algorithm to obtain the bootstrap sample of size B based on the original Type-I censored sample of size n ⊕⊕ : Step 1 Given the stress change time points τ 1 , τ 2 , . . . ,  ... 
doi:10.1109/tr.2014.2336392 fatcat:2o4d3kgvrfgonhyj6wuvb4xko4

Bayesian gamma frailty models for survival data with semi-competing risks and treatment switching

Yuanye Zhang, Ming-Hui Chen, Joseph G. Ibrahim, Donglin Zeng, Qingxia Chen, Zhiying Pan, Xiaodong Xue
2013 Lifetime Data Analysis  
A simulation study is conducted to examine the empirical performance of DIC and LPML and as well as the posterior estimates.  ...  Properties of the proposed models are examined and an efficient Gibbs sampling algorithm using the collapsed Gibbs technique is developed.  ...  Acknowledgments The authors wish to thank the Editor-in-Chief, the Associate Editor, and the referee for their helpful comments and suggestions, which have led to an improved version of this article.  ... 
doi:10.1007/s10985-013-9254-8 pmid:23543121 pmcid:PMC3745804 fatcat:j7hoxoera5czhpilpdadznp5oa

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

Design of Accelerated Life Test Plans—Overview and Prospect

Wen-Hua Chen, Liang Gao, Jun Pan, Ping Qian, Qing-Chuan He
2018 Chinese Journal of Mechanical Engineering  
Accelerated life test (ALT) is currently the main method of assessing product reliability rapidly, and the design of efficient test plans is a critical step to ensure that ALTs can assess the product reliability  ...  With the promotion of the national strategy of civil-military integration, ALT will be widely used in the research and development (R&D) of various types of products, and the ALT plan design theory will  ...  Assume that there are k stress levels, then the sample size on the ith level ξ i (i = 1, 2,…, K) is N i , and the lifetime of the jth (j = 1, 2,…, N i ) samples on ξ i is (t ij , δ ij ) (if the sample  ... 
doi:10.1186/s10033-018-0206-9 fatcat:gr44gp4ilbgs7bcja4mkucpgfm

Absolute Deviation based Control Charts for Monitoring Mean of Weibull Distribution with Type-I Censoring

Sajid Ali, Nabeel Ahmed, Ismail Shah, Showkat Ahmad Lone, Abdulaziz Q. Alsubie
2021 IEEE Access  
Censoring schemes, including type-I, type-II, progressive, and interval, are used to save time and cost of reliability experiments.  ...  Next, consider the type-I censoring for the lifetimes X i1 , X i2 , X i3 , · · · , X in , i = 1, 2, · · · , m, where m is the subgroup size which may be variable from sample to sample.  ... 
doi:10.1109/access.2021.3100845 fatcat:o2juoz4fwjbllnjnxx4vtzuqdm

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

Zhanshan Ma, Axel W. Krings
2008 IEEE Aerospace Conference. Proceedings  
Survival analysis, also known as failure time analysis or time-to-event analysis, is one of the most significant advancements of mathematical statistics in the last quarter of the 20th century.  ...  on their applications to reliability and computer science.  ...  Type II censoring only knows the r smallest (shortest lifetimes) in a random sample of n individuals ) 1 ( n r ≤ ≤ .  ... 
doi:10.1109/aero.2008.4526634 fatcat:kd7kxbnihrbs3kkuj5ytxryfgy
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