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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

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.  ...  [13] , we conduct a study on the experimental design for the lifetime performance index from Rayleigh distributed products based on progressive type I interval censored data.  ... 
doi:10.3390/math10030517 fatcat:xi7synnebzdgpcmwikjdwnk6pq

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

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  ...  The attractive property of progressive type I interval censoring is the convenient collection of data for a quality engineer.  ... 
doi:10.3390/sym13061032 fatcat:khxd6e2ahbg7plczl5wdzotyry

Statistical Inference of the Lifetime Performance Index with the Log-Logistic Distribution Based on Progressive First-Failure-Censored Data

Ying Xie, Wenhao Gui
2020 Symmetry  
This paper, based on the lifetime performance index, focuses on its evaluation when a lower specification limit is given.  ...  Estimating the accurate evaluation of product lifetime performance has always been a hot topic in manufacturing industry.  ...  Conclusions Our main consideration is the lifetime performance index C L , an indicator employed to evaluate the performance of a progress.  ... 
doi:10.3390/sym12060937 fatcat:63n7mtf76reerihwhn3end3qy4

Inferences On Compound Rayleigh Parameters With Progressively Type-Ii Censored Samples

Abdullah Y. Al-Hossain
2013 Zenodo  
This paper considers inference under progressive type II censoring with a compound Rayleigh failure time distribution.  ...  Another Bayes estimator has been obtained based on continuous-discrete joint prior for the unknown parameters. An example with the real data is discussed to illustrate the proposed method.  ...  Many authors have discussed inference under progressive type-II censored using different lifetime distributions, see for example [5] - [7] , [9] and [12] .  ... 
doi:10.5281/zenodo.1079612 fatcat:wwtn5wcjr5hyzjbhazg7xk2w5q

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

Statistical Analysis Based on Adaptive Progressive hybrid Censored Sample from Alpha Power Generalized Exponential Distribution

Zaizai Yan, Na Wang
2020 IEEE Access  
For the alpha power generalized exponential model, the maximum likelihood and Bayes estimations of unknown distribution parameters are discussed under an adaptive Type-II progressive hybrid censored sample  ...  The results of simulation and analysis of an actual life data set are used to evaluate the performance the proposed method and illustrate its application possibility.  ...  [3] proposed an adaptive Type-II progressive hybrid censoring (AT-II-PHC) scheme and studied the statistical inference method of exponential distribution under this type of censoring sample.  ... 
doi:10.1109/access.2020.2981497 fatcat:omaelcgqprcgxmxct7axss3lly

Genome-wide polygenic scores for age at onset of alcohol dependence and association with alcohol-related measures

M Kapoor, Y-L Chou, H J Edenberg, T Foroud, N G Martin, P A F Madden, J C Wang, S Bertelsen, L Wetherill, A Brooks, G Chan, V Hesselbrock (+10 others)
2016 Translational Psychiatry  
Since the survival curve is computed as a series of products, however, there may be round off error. Assume for instance a sample of size 20 with no tied times and no censoring.  ...  The exponential and rayleigh distributions are Weibull distributions with fixed scale of 1 and 0.5 respectively, and loggaussian is a synonym for lognormal.  ...  ") # Here is the data set from Turnbull # There are no interval censored subjects, only left-censored (status=3), # right-censored (status 0) and observed events (status 1) # # Time # 1 2 3 4 # Type of  ... 
doi:10.1038/tp.2016.27 pmid:27003187 pmcid:PMC4872451 fatcat:xupydq4jtzctbmj4ff2kgyrbyy

Location-Scale Distributions [chapter]

Horst Rinne
2011 International Encyclopedia of Statistical Science  
Those which remain on test continue under observation until ultimate failure or until a subsequent stage of censoring is performed.  ...  )-interval 3 for X as for example with the extreme value distribution of type I for the maximum, see (1.5), b ≈ x 0.667169 − x 0.332831 , α ≈ 0.334338. (1.9) All distributions in a given family have the  ...  We find estimates for b and c when a is known or estimated using X = ln(X − a) which is exponentially distributed with a = ln b and b = 1 c.  ... 
doi:10.1007/978-3-642-04898-2_341 fatcat:monqcibyizdn3oywrdw7zmkwxe

Vol. 14, No. 2 (Full Issue)

2015 Journal of Modern Applied Statistical Methods  
Even a single outlier can have a tremendous impact on the usual estimate of Pearson's correlation, which can result in a poor indication of the strength of the association among the bulk of the points.  ...  Numerous robust correlation coefficients have been proposed that deal with outliers among the marginal distributions, but these methods do not take into account the overall structure of the data in terms  ...  Acknowledgments The authors gratefully acknowledge the helpful comments from the participant at the International Conference on Computing, Mathematics and Statistics 2013 held in Bay View Beach Resort,  ... 
doi:10.22237/jmasm/1446350520 fatcat:g76yvp4nunba3cpnjsowjr6aoa

On Fitting Finite Dirichlet Mixture Using ECM and MML [chapter]

Nizar Bouguila, Djemel Ziou
2005 Lecture Notes in Computer Science  
Fluid queue models play a vital role in the performance analysis of computer and telecommunication networks.  ...  We study a fluid system with single on/off source in which the active (on) and silent periods (off) follow General and Exponential distributions respectively.  ...  In this paper, we examine the roles of censoring number r and sample size n for Type II censoring.  ... 
doi:10.1007/11551188_19 fatcat:gtzi5u6emvfyxea3zbklobnvom

Author Index Volume 235 (2011)

2011 Journal of Computational and Applied Mathematics  
Chan, Assessing the lifetime performance index of Rayleigh products based on the Bayesian estimation under progressive type II right censored samples 1676-1688 Lee, H.-C., see Kim, K.  ...  Nik Long, Approximating the singular integrals of Cauchy type with weight function on the interval 4742-4753 Eskhuvatov, Z.K., A. Ahmedov, N.M.A. Nik Long and N.J.  ... 
doi:10.1016/s0377-0427(11)00383-9 fatcat:iydszqpkezgivirtbnwhpwere4

Vol. 8, No. 2 (Full Issue)

2009 Journal of Modern Applied Statistical Methods  
The traditional permutation test based on all rearrangements of the data labels is not exact and is more powerful that the analysis of variance only for 2xC designs or when there is only a single significant  ...  The analysis of variance is remarkably robust against departures from normality including instances in which data is drawn from mixtures of normal distributions or from Weibull distributions.  ...  Acknowledgements The authors are grateful to the management of the BMSSU medical college and hospital for providing records on the number of outpatient visits per day for the period of 26 April 2007 to  ... 
doi:10.22237/jmasm/1257035520 fatcat:3iju6opatnhq3idybpvwyemkmq

Vol. 12, No. 2 (Full Issue)

2013 Journal of Modern Applied Statistical Methods  
Normality is a distributional requirement of classical test statistics.  ...  In order for the test statistic to provide valid results leading to sound and reliable conclusions this requirement must be satisfied.  ...  Acknowledgements Part of this paper is based on the result obtained in the Master degree thesis of the second author (QH) (Hui, 2011) , which was written under the supervision of the first author (TL)  ... 
doi:10.22237/jmasm/1383280140 fatcat:d3jjp2bn2zdbfh5klhp6miklqa
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