English  |  正體中文  |  简体中文  |  Items with full text/Total items : 55178/89446 (62%)
Visitors : 10660038      Online Users : 24
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library & TKU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version
    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。
    Gompertz分配是由Gompertz在1825年所提出的,此模型是個非常重要的生長模型,也運用在生物、醫學、精算等研究上。
    極值分配的應用廣泛,運用於自然現象的降雨量及土壤,也運用於壽命模型。
    在本文中我們所要探討的主題就是在隨機移除之一般化型二逐步設限的方法下所獲得之有序樣本經過適當的轉換,可得到一組來自標準指數分配且互相獨立的樣本,接著利用此組樣本形成不同樞紐量,和我們所提出的一組新的樞紐量,對來自於雙參數Gompertz分配和雙參數極值分配的形狀參數做假設檢定和信賴區間,以及建立雙參數之聯合信賴區域。最後利用電腦模擬的方法,在不同的(n,m,p,r)下找出檢定力最好以及信賴區間長度最短和聯合信賴區域面積最小的樞紐量。
    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

    Files in This Item:

    File SizeFormat
    0KbUnknown352View/Open

    All items in 機構典藏 are protected by copyright, with all rights reserved.


    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library & TKU Library IR teams. Copyright ©   - Feedback