Original article: Computational procedure of assessing lifetime performance index of Weibull lifetime products with the upper record values

Authors:
Hsiu-Mei Lee;Wen-Chuan Lee;Chia-Ling Lei;Jong-Wuu Wu
Affiliations:
Department of Statistics, Tamkang University, Tamsui, Taipei 25137, Taiwan, ROC;Department of International Business, Chang Jung Christian University, Tainan 71101, Taiwan, ROC;Department of Applied Mathematics, National Chiayi University, 300 Syuefu Rd., Chiayi City 60004, Taiwan, ROC;Department of Applied Mathematics, National Chiayi University, 300 Syuefu Rd., Chiayi City 60004, Taiwan, ROC
Venue:
Mathematics and Computers in Simulation
Year:
2011

Citing 1
Cited 1

Computational procedure of performance assessment of lifetime index of Pareto lifetime businesses based on confidence interval

Applied Soft Computing

Original article: Predicting future lifetime based on random number of three parameters Weibull distribution

Mathematics and Computers in Simulation

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Abstract

Process capability indices (PCIs) are used to measure process potential and performance. This study constructs an uniformly minimum variance unbiased estimator (UMVUE) of the lifetime performance index based on the upper record values for Weibull lifetime model. Then the UMVUE of the lifetime performance index is utilized to develop the new hypothesis testing procedure in the condition of known lower specification limit. Finally, two examples are presented to assess the behavior of this test statistic for testing null hypothesis under given significance level. Moreover, the product managers can then employ the new testing procedure to determine whether the process adheres to the required level.