1993•Journal of Applied StatisticsRequires access

A comparative study of the &-corrected Kolmogorov-Smirnov test

H. J. Khamis

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Abstract

The delta-corrected Kolmogorov-Smirnov test has been shown to be uniformly more powerful than the classical Kolmogorov-Smirnov test. The power of the delta-corrected Kolmogorov-Smimov test is compared to six other goodness of fit tests based on the empirical distribution function using 10 000 Monte Carlo samples. Also, how the delta-corrected Kolmogorov-Smirnov test is conducted is illustrated.

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What this paper is about

The delta-corrected Kolmogorov-Smirnov test has been shown to be uniformly more powerful than the classical Kolmogorov-Smirnov test. The power of the delta-corrected Kolmogorov-Smimov test is compared to six other goodness of fit tests based on the empirical distribution function using 10 000 Monte Carlo samples. Also, how the delta-corrected Kolmogorov-Smirnov test is conducted is illustrated.

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OpenAlex reports 12 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The delta-corrected Kolmogorov-Smirnov test has been shown to be uniformly more powerful than the classical Kolmogorov-Smirnov test. The power of the delta-corrected Kolmogorov-Smimov test is compared to six other goodness of fit tests based on the empirical distribution function using 10 000 Monte Carlo samples. Also, how the delta-corrected Kolmogorov-Smirnov test is conducted is illustrated.

Key concepts: Kolmogorov–Smirnov test, Mathematics, Goodness of fit, Anderson–Darling test, Empirical distribution function, Statistics, Monte Carlo method, Kolmogorov structure function

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