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Power Results for Tests Based on High-Order Gaps

Finite sample power results for an important class of alternatives are simulated for tests of uniformity based on the logarithms of mth order gaps. These are then compared with other tests of uniformity, and it is concluded that the test based on the logarithms of third-order gaps performs very well. An indication is given that the performance will still be good for a very different class of alternatives.

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Power results for tests based on high-order gaps

基于高阶间距检验的功效结果

Finite sample power results for an important class of alternatives are simulated for tests of uniformity based on the logarithms of mth order gaps. These are then compared with other tests of uniformity, and it is concluded that the test based on the logarithms of third-order gaps performs very well. An indication is given that the performance will still be good for a very different class of alternatives.

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On the Logarithms of High-Order Spacings

高阶间隔的对数

Previous work on the use of gaps or spacings to test for uniformity of a sample has been in terms of distances between successive order statistics of the sample. This paper generalizes this notion of first-order gaps to m th-order gaps, and considers the sum of the logarithms of the m th-order gaps as a test statistic of uniformity. Asymptotio normality of this test statistic is shown under the null hypothesis of uniformity, even when m grows at a moderate rate with the…

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On the logarithms of high-order spacings

高阶间距的对数

Previous work on the use of gaps or spacings to test for uniformity of a sample has been in terms of distances between successive order statistics of the sample. This paper generalizes this notion of first-order gaps to m th-order gaps, and considers the sum of the logarithms of the m th-order gaps as a test statistic of uniformity. Asymptotio normality of this test statistic is shown under the null hypothesis of uniformity, even when m grows at a moderate rate with the…

AI 解读阅读原文 ↗BibTeX ↓