• probability, the GlivenkoCantelli theorem (sometimes referred to as the fundamental theorem of statistics), named after Valery Ivanovich Glivenko and Francesco...
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  • Thumbnail for Central limit theorem
    an intuitive result underpinned by the GlivenkoCantelli theorem. The misconceived belief that the theorem leads to a good approximation of a normal...
    67 KB (9,202 words) - 03:48, 9 June 2025
  • double-negation translation for propositional logic GlivenkoCantelli theorem Glivenko–Stone theorem This disambiguation page lists mathematics articles...
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  • Thumbnail for Empirical distribution function
    probability 1 to that underlying distribution, according to the GlivenkoCantelli theorem. A number of results exist to quantify the rate of convergence...
    13 KB (1,514 words) - 14:05, 27 February 2025
  • Thumbnail for Kolmogorov–Smirnov test
    between the two distribution functions across all x values. By the GlivenkoCantelli theorem, if the sample comes from the distribution F(x), then Dn converges...
    31 KB (3,909 words) - 09:43, 9 May 2025
  • Thumbnail for Francesco Paolo Cantelli
    probability theory. Cantelli's later work was all on probability theory. Borel–Cantelli lemma, Cantelli's inequality and the GlivenkoCantelli theorem are result...
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  • theorem, or the "fundamental theorem of genetic algorithms" GlivenkoCantelli theorem, or the "fundamental theorem of statistics" Fundamental theorem...
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  • F pointwise. Glivenko and Cantelli strengthened this result by proving uniform convergence of Fn to F by the GlivenkoCantelli theorem. A centered and...
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  • Thumbnail for Donsker's theorem
    approximation. GlivenkoCantelli theorem Kolmogorov–Smirnov test Donsker, M.D. (1951). "An invariance principle for certain probability limit theorems". Memoirs...
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  • approximates the CDF. This can be seen as a consequence of the GlivenkoCantelli theorem. Some methods for calculating the percentiles are given below...
    19 KB (2,649 words) - 00:59, 29 June 2025
  • Thumbnail for Valery Glivenko
    of Glivenko's work was published in French. Glivenko's double-negation translation Glivenko's theorem (probability theory) GlivenkoCantelli theorem Glivenko–Stone...
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  • Gauss–Markov theorem (statistics) GlivenkoCantelli theorem (probability) Infinite monkey theorem (probability) Lehmann–Scheffé theorem (statistics) Lukacs's proportion-sum...
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  • probability Exotic probability Schrödinger method Empirical measure GlivenkoCantelli theorem Zero–one law Kolmogorov's zero–one law Hewitt–Savage zero–one...
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  • }}_{n}} satisfies the Lindeberg condition, so the CLT holds. The GlivenkoCantelli theorem provides theoretical background for the bootstrap method. Finite...
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  • Central limit theorem Continuous mapping theorem GlivenkoCantelli theorem Law of large numbers Law of the iterated logarithm Slutsky's theorem Delta method...
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  • Donsker or P-Donsker. A Donsker class is GlivenkoCantelli in probability by an application of Slutsky's theorem . These statements are true for a single...
    22 KB (3,956 words) - 09:00, 27 June 2025
  • Gillespie algorithm Gini coefficient Girsanov theorem Gittins index GLIM (software) – software GlivenkoCantelli theorem GLUE (uncertainty assessment) Goldfeld–Quandt...
    87 KB (8,280 words) - 23:04, 12 March 2025
  • Thumbnail for List of people from Southern Italy
    Paolo Cantelli (1875–1966), was a mathematician. He is remembered through the Borel–Cantelli lemma, the GlivenkoCantelli theorem, and Cantelli's inequality...
    92 KB (11,780 words) - 22:54, 11 March 2025
  • Thumbnail for Dvoretzky–Kiefer–Wolfowitz inequality
    ^{2}}\qquad {\text{for every }}\varepsilon >0.} This strengthens the GlivenkoCantelli theorem by quantifying the rate of convergence as n tends to infinity...
    8 KB (1,044 words) - 06:43, 7 July 2025
  • Thumbnail for July 1966
    and Its Limits Francesco Paolo Cantelli, 90, Italian probability mathematician known for the GlivenkoCantelli theorem A million people gathered in Tiananmen...
    90 KB (11,924 words) - 19:40, 9 June 2025
  • George Cross, the highest civil decoration of the United Kingdom GlivenkoCantelli theorem, in probability GC, the DIN code for pigment-coated, virgin mechanical...
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  • ISBN 0-521-46102-2. Wolfowitz, J. (1954). "Generalization of the theorem of GlivenkoCantelli". Annals of Mathematical Statistics. 25 (1): 131–138. doi:10...
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  • Thumbnail for Science and technology in Ukraine
    Kravchuk matrix. Valery Glivenko (1896—1940), mathematician. See GlivenkoCantelli theorem, Glivenko's theorem, Glivenko–Stone theorem. Yuri Kondratyuk (1897—1942)...
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  • Donsker classes (category Central limit theorem)
    hypothesis testing. Empirical process Central limit theorem Brownian bridge GlivenkoCantelli theorem Vapnik–Chervonenkis theory Weak convergence (probability)...
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  • theory Borel–Cantelli lemma Doob–Dynkin lemma Itô's lemma (stochastic calculus) Lovász local lemma Stein's lemma Wald's lemma GlivenkoCantelli lemma Neyman–Pearson...
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  • n {\displaystyle X_{1},\ldots ,X_{n}} , and according to the GlivenkoCantelli theorem converges almost surely to F ( x ) {\displaystyle F(x)} . Shalyt...
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  • Donsker's theorem / (LU:C) Empirical distribution function Empirical measure / (FL:RG) (U:D) Empirical process / (FL:RG) (U:D) GlivenkoCantelli theorem / (FL:RG)...
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  • {\mathcal {H}}} is finite. H {\displaystyle {\mathcal {H}}} is a uniform Glivenko-Cantelli class. This gives a way to prove that certain hypothesis spaces are...
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  • uniform GlivenkoCantelli classes. It has been shown that under certain regularity conditions, learnable classes and uniformly Glivenko-Cantelli classes...
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