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多项分布比例的同时置信区间与样本量确定AI 解读

Simultaneous confidence interval procedures for multinomial proportions are used in many areas of science. In this article two new simultaneous confidence interval procedures are introduced. Numerical results are presented to evaluate these procedures and compare their performance with established methods that have been used in statistical literature. From the results presented in this article, it is evident that the new procedures are more accurate than the established…

扫描统计量检测伯努利序列变化区段的功效AI 解读

Fu & Curnow (1990) derive recursive equations to find the level of significance and power of a likelihood ratio test for a changed segment of specified length, based on the scan statistic, the maximum number of successes within the specified length. Their method is computationally feasible for segment lengths of 20 or less. We present and evaluate highly accurate approximations as well as bounds for the power function of this test that are computationally feasible even for…

扫描统计量检测伯努利序列变化区段的功效AI 解读

Fu & Curnow (1990) derive recursive equations to find the level of significance and power of a likelihood ratio test for a changed segment of specified length, based on the scan statistic, the maximum number of successes within the specified length. Their method is computationally feasible for segment lengths of 20 or less. We present and evaluate highly accurate approximations as well as bounds for the power function of this test that are computationally feasible even for…

扫描统计量分布的近似与界AI 解读

The scan statistic is used in many areas of science to test the null hypothesis of uniformity against a clustering alternative. This article derives approximations and bounds for the distribution of scan statistics. An extensive simulation study is carried out to compare the approximations and the bounds derived in this article with other known approximations and bounds. The new lower and upper bounds that have been derived are very useful in evaluating the approximations…

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