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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/94209

    Title: 在逐步型I區間設限下對Rayleigh分配的壽命績效指標之檢定程序
    Other Titles: Testing procedure for the lifetime performance index of products with Rayleigh distribution under progressive type I interval censoring
    Authors: 林盈孜;Lin, Ying-Tzu
    Contributors: 淡江大學統計學系碩士班
    吳淑妃;Wu, Shu-Fei
    Keywords: 逐步型I區間設限;最大概似估計量;製程能力指標;檢定程序;Rayleigh分配;progressive type I interval censored;Rayleigh distribution;Maximum Likelihood Estimator;Process Capability Index;testing procedure
    Date: 2013
    Issue Date: 2014-01-23 14:09:16 (UTC+8)
    Abstract: 近年來,由於智慧型手機及平板電腦的盛行等等,在產業高度競爭的時代,消費者對於產品品質要求更加嚴格。在實務上,製程能力指標(process capability indices, PCIs)已經被廣泛地用於評估製程的績效,進而不斷地提升產品品質及製程能力。
    In recent years, due to the prevalence of smart phones and tablet PCs, the consumers require more stringent product quality in the highly competitive commercial market. In practice, process capability indices (PCIs) has been widely used to assess the performance of the process, and then continues to be employed to improve the product quality and process capability.

    This research is focusing on the lifetime of products following the Rayleigh distribution. The maximum likelihood estimator is used to estimate the lifetime performance index (C_L) based on the progressive type I interval censored sample. The asymptotic distribution of this estimator and the power function are also investigated. We use this estimator to develop the new hypothesis testing algorithmic procedure in the condition of known lower specification limit L. Finally, two numerical examples are given to illustrate the use of this testing algorithmic procedure to determine whether the process is capable.
    Appears in Collections:[統計學系暨研究所] 學位論文

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