A Simulation Study of One- and Two-Sample Kolmogorov-Smirnov Statistics with a Particular Weight Function

1 March 1975

journal article
research article
Published by JSTOR in Journal of the American Statistical Association

Vol. 70 (349) , 209
https://doi.org/10.2307/2285405

Abstract

Critical values for the one-sample and the two-sample Kolmogorov-Smirnov statistics with a particular weight function are compared and found to be greatly different. The difference is shown to be due to the marked sensitivity of the one-sample statistic to the values of the first and last order statistics of the sample distribution.

Keywords

KOLMOGOROV SMIRNOV
SMIRNOV STATISTICS
SAMPLE KOLMOGOROV
TWO SAMPLE
WEIGHT FUNCTION
SIMULATION

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