出版日期：2024-08-16 00:00:00

著者：Shu-Fei Wu, Hsueh-Chien Yeh

著錄名稱、卷期、頁數：Symmetry-Basel. 16, 1060, p.1-22

摘要：The lifetime performance index is commonly used in the manufacturing industry to evaluate the performance of the capabilities of the production process. For products with multiple components, the comprehensive lifetime performance index, which is a monotonically increasing function of the overall process yield, is used to relate to each individual lifetime performance index. For products where the lifetime of the ith component follows an exponentiated Fréchet lifetime distribution, we examine the maximum likelihood estimators for both the comprehensive and individual lifetime performance indices based on the progressive type I interval-censored samples, deriving their asymptotic distributions. By specifying the target level for the comprehensive lifetime performance index, we can set the desired level for individual indices. A testing procedure, using the maximum likelihood estimator as the test statistic, was developed to determine if the comprehensive lifetime performance index meets the target. Given that the lifetime distribution is asymmetric, this study pertains to asymmetrical probability distributions and their applications across diverse fields. We illustrate the power analysis of this testing procedure with figures and summarize key findings. Finally, we demonstrate the application of this testing algorithm with a practical example involving two components to verify if the overall production process achieves the assigned target level.

關鍵字：exponentiated Fréchet lifetime distribution; multiple production lines; progressive type I interval censoring; maximum likelihood estimator; lifetime performance index

語言：zh_TW

ISSN：2073-8994

期刊性質：國內

收錄於：SCI

審稿制度：否

國別：TWN

出版型式：電子版