Some Exact Results for One-Sided Distribution Tests of the Kolmogorov-Smirnov Type
نویسندگان
چکیده
منابع مشابه
On Some Results and Problems in Connection with Statistics of the Kolmogorov-smirnov Type
Since Kolmogorov and Smirnov established their limiting distribution theorems concerning maximal deviations between empirical and theoretical distributions, an increasing amount of scientific work has been done by statisticians in this field. Practical importance and theoretical interest give the motivation. Researchers have worked on distribution laws, power considerations and the limiting pro...
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Multivariate one-sided hypothesis-testing problems are very common in clinical trials with multiple endpoints. The likelihood ratio test (LRT) and union-intersection test (UIT) are widely used for testing such problems. It is argued that, for many important multivariate one-sided testing problems, the LRT and UIT fail to adapt to the presence of subregions of varying dimensionalities on the bou...
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A test for goodness of fit usually involves examining a random sample from some unknown distribution in order to test the null hypothesis that the unknown distribution function is in fact a known, specified function. The Chi-square test can be applied to any univariate distribution for which you can calculate the cumulative distribution function. The Chi-square test does not have good propertie...
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15 صفحه اولExact Power and Sample Size Calculations for the Two One-Sided Tests of Equivalence
Equivalent testing has been strongly recommended for demonstrating the comparability of treatment effects in a wide variety of research fields including medical studies. Although the essential properties of the favorable two one-sided tests of equivalence have been addressed in the literature, the associated power and sample size calculations were illustrated mainly for selecting the most appro...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1961
ISSN: 0003-4851
DOI: 10.1214/aoms/1177705056