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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/105483

    Title: Fréchet分配產品的壽命績效指標在逐步型II設限下之統計檢定程序
    Other Titles: A testing procedure for the lifetime performance index of products with Fréchet distribution under progressive type II censoring
    Authors: 張文瑞;Chang, Wen-Jui
    Contributors: 淡江大學統計學系碩士班
    吳淑妃;Wu, Shu-Fei
    Keywords: 逐步型II設限;Fréchet分配;最大概似估計量;製程能力指標;檢定程序;progressive type II censoring;Fréchet distribution;Maximum Likelihood Estimator;Process Capability Index;testing procedure
    Date: 2015
    Issue Date: 2016-01-22 14:57:05 (UTC+8)
    Abstract: 近年隨著時代的進步,科技產業的快速發展,使得高科技的產品不斷推陳出新,更由於市場的高度競爭,所以對於產品品質的要求也不斷提高,因此,提升產品品質變得相對重要。在實務上,製程能力指標(process capability indices, PCIs)被廣泛應用在評估製程的績效,進而不斷地提升產品品質及製程能力。
    In recent years, the development of technology industry is pretty fast, and the high-tech products are also innovated quickly. Due to the highly competitive commercial market, the requirement of high quality products becomes much more important. In practice, process capability indices (PCIs) have been widely used to assess the performance of the process, and then continue to improve the product quality and process capability.

    This research is focusing on the lifetime of products which follow the Fréchet distribution. Some pivotal quantities are proposed to construct the interval estimation of parameters. The maximum likelihood estimator is used to estimate the lifetime performance index based on the progressive type II censored sample, and we use this estimator to develop the hypothesis testing algorithmic procedure for the process capability index in the condition of known lower specification limit. Finally, two practical examples are given to illustrate the proposed interval estimation and the 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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