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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/33882

    Title: 一般化型二逐步設限下對雙參數Gompertz分配與雙參數極值分配的統計推論
    Other Titles: Statistical inference for the two parameters Gompertz distribution and extreme-value distribution under general type II progressive censoring
    Authors: 廖佩怡;Liao, Paei-yi
    Contributors: 淡江大學統計學系碩士班
    吳淑妃;Wu, Shu-fei
    Keywords: 一般化逐步型二設限;Gompertz分配;極值分配;樞紐量;信賴區間;假設檢定;General Progressive Type Censoring;Pivot;Testing hypotheses;Gompertz distribution;Extreme-value distribution
    Date: 2006
    Issue Date: 2010-01-11 04:37:44 (UTC+8)
    Abstract: 在許多可靠度分析及壽命研究中常會因為時間、人力和金錢的限制或成本的考量而無法取得完整的樣本資料,而在壽命檢測的實驗中,各種設限的方法都是為了節省時間與成本,一般化型二逐步設限就是其中的一種。
    In many lifetimes analysis, we can’t collect the whole data due to the restriction of time, cost and material, censoring arises. There are several types of censoring schemes and the General Type II Progressive censoring scheme is one of those.
    The Gompertz distribution is one of the most important growth models. The Gompertz mortality function was established by Gompertz (1825) and it has many applications in, biological, medical, and actuarial studies.The Extreme-value distribution has been extensively used to model natural phenomena such as rainfall and floods, and also in modeling lifetimes.
    Therefore, the interval estimations of two parameters and the hypothesis testing under General Type II progressive censoring with random removals are proposed in this research.
    We proposed a set of new pivotal quantities with new distribution to be compared with some other pivotal quantities with F distribution in this paper.
    Appears in Collections:[Graduate Institute & Department of Statistics] Thesis

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