淡江大學機構典藏:Item 987654321/124328
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/124328


    Title: Power comparison of the testing on the lifetime performance index for Rayleigh lifetime products under progressive type I interval censoring
    Authors: Wu, Shu-fei
    Keywords: Maximum likelihood estimator;Process capability indices;Progressive type I interval censored sample;Rayleigh distribution;Testing algorithmic procedure
    Date: 2021-02-11
    Issue Date: 2023-08-07 12:05:21 (UTC+8)
    Abstract: Lifetime performance indices CL is usually used as the measurement for the larger-the-better type quality characteristics to assess the process performance of products. The lifetimes of products are assumed to have Rayleigh distribution in this study. This research presents another approach to the hypothesis testing procedure for the index without the transformation of Rayleigh distribution to the exponential distribution. The maximum likelihood estimator is used to estimate the lifetime performance index based on the progressive type I interval censored sample and its asymptotic distribution of this estimator is also developed to build a new hypothesis testing procedure under a pre-assigned lower specification limit. A simulation study is done and the results show that the power performance of this approach is better than the existing one. Finally, two practical examples are given to illustrate the use of two testing algorithmic procedures to determine whether the process is capable.
    Relation: Communications in Statistics-Simulation and Computation 52(4),　1435-1448
    DOI: 10.1080/03610918.2021.1884716
    Appears in Collections:[Graduate Institute & Department of Statistics] Journal Article

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