臺灣博碩士論文加值系統

對於刪減區間及截斷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估計在刪減區間及截斷資料情形下的生命時間分佈。並且舉一個Turnbull所提出的演算法為例子來解說我們的概念。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。

In this paper, we discuss the distribution of a non-parametric test based on incomplete data for which the measurement of a survival time is known only to belong to an interval. Also the survival time of interest itself is observed from a truncated distribution and is known only to lie in an interval. The test is proposed in determining whether p lifetime populations come from the same distribution. To find the distribution of the test statistic we propose a simulation study. Simulation results indicate that the test is approximately (1/c) multiply chi-square distribution with p-1 degrees of freedom, where the constant c may depend on some factors.

1.Introduction 1
2.A self-consistent algorithm and the non-parametric test statistic 3
2.1.Turnbull's EM algorithm with censored and truncated data 3
2.2.A non-parametric test for the comparison of failure time distributions with interval-censored and truncated data 8
3.A simulation study 12
3.1.An urn model for determining p 12
3.2.Simulation 21
4.The distribution of the non-parametric test statistic 24
5.Reference 45

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