臺灣博碩士論文加值系統

對於刪減區間資料下的一般無母數檢定，我們提出來判斷p個生命時間的母體是否來自相同的分佈。然而，無母數統計量的分佈並不容易用分析的方式求得，因此分析模擬是必要的。在這篇的論文中，我們提出一分析模擬的方法來求在刪減區間資料情形下的生命時間分佈。而這方法的結果指出我們所提出的檢定是相當接近自由度p-1的卡方分佈乘上一常數。

A generalized non-parametric test for the interval-censored failure time data is proposed in determining whether p lifetime populations come from the same distribution. However, the distribution of a non-parametric statistic is not easy to obtain, therefore a simulation study is necessary. In this article, we propose a simulation procedure for determining the failure time distribution based on discrete interval-censored failure time data. The simulation results indicate that the proposed test is approximately chi-square distribution with (p-1) degree of freedom times a constant.

1. Introduction 1
2. Turnbull's Em algorithm and the non-parametric test
statistic 4
2.1 A self-consistent algorithm 4
2.2 A non-parametric test for the comparison of failure time
distributions with interval-censored data 6
3. A simulation study 11
3.1 An urn model for determining p 11
3.2 Simulation procedure 19
4. The distribution of the non-parametric test statistic 21
5. Powers of the non-parametric test statistic 42
6. The comparison with Sun's result 43
7. Reference 45

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