淡江大學機構典藏:Item 987654321/126576
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/126576


    Title: The Assessment of the Overall Lifetime Performance Index of Chen Products with Multiple Components
    Authors: Wu, Shu-Fei;Huang, Yu-Lun
    Keywords: Chen distribution;multiple components;progressive type I interval censoring;maximum likelihood estimator;overall lifetime performance index;testing procedure
    Date: 2024-07-08
    Issue Date: 2024-12-13 12:05:35 (UTC+8)
    Abstract: 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.
    Relation: Mathematics. 12, 2140, p.1-21.
    DOI: 10.3390/math12132140
    Appears in Collections:[Graduate Institute & Department of Statistics] Journal Article

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