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Test Kolmogorov-Smirnov×Testul Lilliefors pentru normalitate×
DomeniuStatisticăStatistică
FamilieHypothesis testRegression model
Anul apariției19331967
Autorul originalAndrey Nikolaevich Kolmogorov; Nikolai Vasilyevich SmirnovHubert W. Lilliefors
TipNonparametric goodness-of-fit testGoodness-of-fit / normality test
Sursa seminalăKolmogorov, A. N. (1933). Sulla determinazione empirica di una legge di distribuzione. Giornale dell'Istituto Italiano degli Attuari, 4, 83–91. link ↗Lilliefors, H. W. (1967). On the Kolmogorov-Smirnov Test for Normality with Mean and Variance Unknown. Journal of the American Statistical Association, 62(318), 399-402. DOI ↗
Denumiri alternativeKS test, K-S test, one-sample KS test, Kolmogorov-Smirnov TestiLilliefors corrected Kolmogorov-Smirnov test, Lilliefors normality test, Lilliefors Testi
Înrudite25
RezumatThe Kolmogorov-Smirnov (KS) test is a nonparametric goodness-of-fit test that assesses whether a sample comes from a specified theoretical distribution, such as the normal or exponential. First formalised by Andrey Kolmogorov in 1933 and further developed by Nikolai Smirnov in 1948, it compares the empirical cumulative distribution function of the observed data against a target theoretical CDF and quantifies their maximum absolute deviation.The Lilliefors test is a goodness-of-fit test that checks whether a continuous sample comes from a normal (or exponential) distribution when the mean and variance are unknown and estimated from the data. Introduced by Hubert W. Lilliefors in 1967, it adjusts the critical values of the Kolmogorov-Smirnov test so that they remain valid once the distribution's parameters are estimated rather than known in advance.
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ScholarGateCompară metode: Kolmogorov-Smirnov Test · Lilliefors Test. Preluat la 2026-06-20 de pe https://scholargate.app/ro/compare