Computation of the percentage points and the power for the two-sided Kolmogorov-Smirnov one sample test

被引:0
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作者
Thomas Friedrich
Helmut Schellhaas
机构
[1] Technische Hochschule Darmstadt,Fachbereich Mathematik
来源
Statistical Papers | 1998年 / 39卷
关键词
Kolmogorov-Smirnov one sample test; distribution of the test statistic; percentage points; power; recursive scheme for computation; Primary 62G30; Secondary 62G10 62Q05;
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摘要
Two recursive schemes are presented for the calculation of the probabilityP(g(x)≤Sn(x)≤h(x) for allx∈®), whereSn is the empirical distribution function of a sample from a continuous distribution andh, g are continuous and isotone functions. The results are specialized for the calculation of the distribution and the corresponding percentage points of the test statistic of the two-sided Kolmogorov-Smirnov one sample test. The schemes allow the calculation of the power of the test too. Finally an extensive tabulation of percentage points for the Kolmogorov-Smirnov test is given.
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页码:361 / 375
页数:14
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