The Assessment of the Overall Lifetime Performance Index of Chen Products with Multiple Components
學年 112
學期 2
出版（發表）日期 2024-07-08
作品名稱 The Assessment of the Overall Lifetime Performance Index of Chen Products with Multiple Components
作品名稱（其他語言）
著者 Shu-Fei Wu; Yu-Lun Huang
單位
出版者
著錄名稱、卷期、頁數 Mathematics. 12, 2140, p.1-21.
摘要 Process capability indices are widely utilized to evaluate process performance and drive continuous improvements in quality and productivity. Among these indices, the the-larger-the-better lifetime performance index is particularly noteworthy. For products with multiple components, an overall lifetime performance index is used, since it is a monotonically increasing function of the overall conforming rate and the relationship with each individual lifetime performance index can be determined. For products with the lifetime of the ith component following the Chen distribution, we investigate the maximum likelihood estimator for the overall lifetime performance index and the individual lifetime performance index based on the progressive type I interval censoring sample. Their asymptotic distributions for all lifetime performance indices are also derived. Once the target level for the overall lifetime performance index is specified, the desired level of individual lifetime performance index can be specified. By using the maximum likelihood estimator as the test statistic, a testing procedure to test whether the overall lifetime performance index has reached the target level is developed. The power analysis of the testing procedure is shown with figures, and some findings are summarized. At last, we use one practical example with two components to demonstrate how to implement this testing algorithmic procedure to test if the overall production process has reached the pre-assigned target level.
關鍵字 Chen distribution; multiple components; progressive type I interval censoring; maximum likelihood estimator; overall lifetime performance index; testing procedure
語言 en
ISSN 2227-7390
期刊性質 國外
收錄於
產學合作
通訊作者
審稿制度 否
國別 CHE
公開徵稿
出版型式 ,電子版
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