An Inequality Concerning Tests of Fit of the Kolmogorov-Smirnov Type
نویسندگان
چکیده
منابع مشابه
Comparison of the Goodness-of-Fit Tests: the Pearson Chi-square and Kolmogorov-Smirnov Tests
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 اولModified Kolmogorov-Smirnov Test of Goodness of Fit
A modified version of the Kolmogorov-Smirnov (KS) test is presented as a tool to assess whether a specified, although arbitrary, probability model is unsuitable to describe the underlying distribution of a set of observations. The KS test computes distances between points of the sample cumulative distribution function and the hypothetical one as absolute differences between them, and then consi...
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چکیده ندارد.
A The Power of Alternative Kolmogorov-Smirnov Tests Based on Transformations of the Data
The Kolmogorov-Smirnov (KS) statistical test is commonly used to determine if data can be regarded as a sample from a sequence of i.i.d. random variables with specified continuous cdf F , but with small samples it can have insufficient power, i.e., its probability of rejecting natural alternatives can be too low. However, Durbin [1961] showed that the power of the KS test often can be increased...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1967
ISSN: 0003-4851
DOI: 10.1214/aoms/1177698792