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A Unified Way of Deriving Lmp Rank Tests from Censored Data

删失数据局部最强秩检验的统一推导方法

Summary In this note a unified way of deriving locally most powerful rank tests for censored data is given. A lemma is proven. This lemma is then used to derive LMP rank tests.

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Bayesian Analysis of the Two-Sample Problem with Incomplete Data

不完整数据下两样本问题的贝叶斯分析

Suppose a sample of n units from a population with failure time cdf F(x) is put on test and the ith unit is removed from testing at min (xi, τi) where xi is the failure time of this unit and τi is a fixed truncation time. Similarly, let a second sample of units from be tested for times . A Bayesian approach for testing the hypothesis against the alternative based on such samples is considered. The posterior probability that (where k and the t's are defined later) is obtained.

AI 解读阅读原文 ↗BibTeX ↓

Bayesian Analysis of the Two-Sample Problem with Incomplete Data

不完整数据下两样本问题的贝叶斯分析

Suppose a sample of n units from a population with failure time cdf F(x) is put on test and the ith unit is removed from testing at min (xi, τi) where xi is the failure time of this unit and τi is a fixed truncation time. Similarly, let a second sample of units from be tested for times . A Bayesian approach for testing the hypothesis against the alternative based on such samples is considered. The posterior probability that (where k and the t's are defined later) is obtained.

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On Some Tests of Hypotheses Relating to the Exponential Distribution When Some Outliers are Present

存在离群值时有关指数分布假设的若干检验

In this paper the robustness of some of the existing tests for the exponential distribution when some outliers are present is reviewed. It is noted that the tests proposed by Epstein and Sobel [4] can be used without any major modification in the presence of outliers and a more suitable flexible test criterion is proposed for the exponential lower limit which is superior to Carlson's statistic [2] in all situations. The distribution of this statistic is derived and tables…

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