Transcription of Ko l mo g o r o v – S m i r n o v t e st
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Kolmogorov Smirnov testIn statistics, the Kolmogorov Smirnov test (K S test or KStest) is a nonparametric test of the equality of continuous (ordiscontinuous, see Section ), one-dimensional probabilitydistributions that can be used to compare a sample with areference probability distribution (one-sample K S test), or tocompare two samples (two-sample K S test). It is named afterAndrey Kolmogorov and Nikolai Kolmogorov Smirnov statistic quantifies a distance betweenthe empirical distribution function of the sample and thecumulative distribution function of the reference distribution, orbetween the empirical distribution functions of two samples.
Nov 05, 2019 · R e f e r e n c e s F u r t h e r r e a d i n g E x t e r n a l l i n k s The empirical distribution function Fn for n independent and identically distributed (i.i.d.) ordered observations X i is defined as where is the indicator function, equal to 1 if and equal to 0 otherwise.
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