臺灣博碩士論文加值系統

基於離散刪減區間資料秩檢定的推廣，我們提出一種檢定方法以判斷兩組生命時間的母體是否來自相同的分佈。若資料是確定的或是右刪減區間的型態，則這種檢定方法可簡化成 Logrank檢定或是 Wilcoxon檢定。在此篇文章中我們也提出一種模擬的方法來說明我們所提出的檢定方法具有不錯的檢定力。而在論文的最後，則用個AIDS的例子來印證我們的結論。

In this paper we propose a generalized rank test based on discrete interval-censored failure time data to determine whether two lifetime populations come from the same distribution. It
reduces to the Logrank test or Wilcoxon test when one has exact or right-censored data. Simulation shows that the proposed test performs pretty satisfactory. An example is presented
to demonstrate how the proposed test can be applied in AIDS study.

1 Introduction
2 Turnbull's EM algorithm
3 Generalized Wilcoxon and Logrank tests for interval-censored data
3.1 Exact data
3.2 Interval-censore data
3.2.1 The proposed statistic
3.2.2 A probability measure and Lee's selection procedure
4 The asymptotic distribution and power of the weighted rank test
4.1 The asymptotic distribution
4.2 Power of rank tests of interval-censored data
5 Application to AIDS studies

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