Computational testing algorithmic procedure of assessment for lifetime performance index of products with one-parameter exponential distribution under progressive type I interval censoring

2016 ◽  
Vol 120 ◽  
pp. 79-90 ◽  
Author(s):  
Shu-Fei Wu ◽  
Ying-Po Lin
Keyword(s):  
Exponential Distribution ◽  
Performance Index ◽  
Interval Censoring ◽  
Type I ◽  
Lifetime Performance ◽  
Progressive Type ◽  
Computational Testing ◽  
Algorithmic Procedure

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

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 1032
Author(s):  
Shu-Fei Wu ◽  
Wei-Tsung Chang
Keyword(s):  
Probability Distributions ◽  
Testing Procedure ◽  
Interval Censoring ◽  
Type I ◽  
Lifetime Distributions ◽  
Lifetime Performance ◽  
Progressive Type ◽  
Computational Testing ◽  
Lower Specification Limit ◽  
Level Of Significance

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 industries. This research is related to the topic of skewed Probability Distributions and Applications across Disciplines. Exponentiated Frech’et distribution is a generalization of some lifetime distributions. 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 the lifetime performance reached the pre-assigned level of significance with a given lower specification limit under progressive type I interval censoring. At the end, two examples are provided to demonstrate the implementation on the algorithm for our proposed computational testing procedure.

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

Symmetry ◽  
2021 ◽  
Vol 13 (9) ◽  
pp. 1691
Author(s):  
Shu-Fei Wu ◽  
Yu-Cheng Wu ◽  
Chi-Han Wu ◽  
Wei-Tsung Chang
Keyword(s):  
Experimental Design ◽  
Performance Index ◽  
Sampling Design ◽  
Testing Procedure ◽  
Interval Censoring ◽  
Type I ◽  
Lifetime Performance ◽  
Progressive Type ◽  
Interval Censored ◽  
Censored Sample

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 censoring. This research topic is related to asymmetrical probability distributions and applications across disciplines. The asymptotic distribution of the maximum likelihood estimator of the lifetime performance index is utilized to develop the testing procedure. In order to reach the given power level, the minimum sample size is determined and tabulated. In order to minimize the total cost that occurred under progressive type I interval censoring, the sampling design is investigated to determine the minimum number of inspection intervals and equal interval lengths when the termination time of experiment is fixed or not fixed. 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 to test if the lifetime performance index exceeds the desired target level.

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