Some Properties of Two-Sample Kolmogorov–Smirnov Test in the Case of Contamination of One of the Samples


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Abstract

We discuss some properties of the two-sample Kolmogorov–Smirnov test for trimmed samples, one of which is drawn from the standard normal distribution and another is a mixture of two normal distributions. Using mathematical simulation, we show the insensibility of the test to small portions of contamination. Some properties of the test for moderate rates of contamination are demonstrated.

About the authors

A. A. Makarov

National Research University Higher School of Economics

Author for correspondence.
Email: amakarov@hse.ru
Russian Federation, Moscow

G. I. Simonova

National Research University Higher School of Economics

Email: amakarov@hse.ru
Russian Federation, Moscow

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