淡江大學機構典藏:Item 987654321/126577
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    题名: Computational analysis of the comprehensive lifetime performance index for Exponentiated Fréchet lifetime distribution products with multi-components
    作者: Yeh, Shu-Fei WuㄤHsueh-Chien
    关键词: exponentiated Fréchet lifetime distribution;multiple production lines;progressive type I interval censoring;maximum likelihood estimator;lifetime performance index
    日期: 2024-08-16
    上传时间: 2024-12-13 12:05:40 (UTC+8)
    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.
    關聯: Symmetry-Basel. 16, 1060, p.1-22
    DOI: 10.3390/sym16081060
    显示于类别:[統計學系暨研究所] 期刊論文

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