Glivenko-Cantelli-Theorem
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Glivenko-Cantelli theorem — In the theory of probability, the Glivenko Cantelli theorem determines the asymptotic behaviour of the empirical distribution function as the number of iid observations grows. This uniform convergence of more general empirical measures becomes an … Wikipedia
Francesco Paolo Cantelli — (1875 1966) was an Italian mathematician. He was the founder of the Istituto Italiano degli Attuari for the applications of mathematics and probability to economics. His early papers were on problems in astronomy and celestial mechanics.The later … Wikipedia
Donsker's theorem — In probability theory, Donsker s theorem, named after M. D. Donsker, identifies a certain stochastic process as a limit of empirical processes. It is sometimes called the functional central limit theorem. A centered and scaled version of… … Wikipedia
Gliwenko-Cantelli-Satz — Der Gliwenko Cantelli Satz, auch Hauptsatz der Statistik oder Fundamentalsatz der Statistik genannt (nach Waleri Iwanowitsch Gliwenko und Francesco Cantelli, 1933), ist ein mathematischer Satz, der besagt, dass die empirische Verteilungsfunktion… … Deutsch Wikipedia
Empirical process — The study of empirical processes is a branch of mathematical statistics and a sub area of probability theory. It is a generalization of the central limit theorem for empirical measures. DefinitionIt is known that under certain conditions… … Wikipedia
List of mathematics articles (G) — NOTOC G G₂ G delta space G networks Gδ set G structure G test G127 G2 manifold G2 structure Gabor atom Gabor filter Gabor transform Gabor Wigner transform Gabow s algorithm Gabriel graph Gabriel s Horn Gain graph Gain group Galerkin method… … Wikipedia
Kolmogorov-Smirnov test — In statistics, the Kolmogorov ndash;Smirnov test (also called the K S test for brevity) is a form of minimum distance estimation used as a nonparametric test of equality of one dimensional probability distributions used to compare a sample with a … Wikipedia
Empirical distribution function — In statistics, an empirical distribution function is a cumulative probability distribution function that concentrates probability 1/ n at each of the n numbers in a sample.Let X 1,ldots,X n be iid random variables in mathbb{R} with the cdf F ( x… … Wikipedia
Dvoretzky–Kiefer–Wolfowitz inequality — In the theory of probability and statistics, the Dvoretzky–Kiefer–Wolfowitz inequality predicts how close an empirically determined distribution function will be to the distribution function from which the empirical samples are drawn. It is named … Wikipedia
Empirical measure — In probability theory, an empirical measure is a random measure arising from a particular realization of a (usually finite) sequence of random variables. The precise definition is found below. Empirical measures are relevant to mathematical… … Wikipedia
die enstsprechende empirische Verteilungsfunktion (hierbei gibt wie üblich das Rautensymbol 
die Anzahl der Elemente der darauf folgenden Menge an).
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