• probability, the GlivenkoCantelli theorem (sometimes referred to as the Fundamental Theorem of Statistics), named after Valery Ivanovich Glivenko and Francesco...
    16 KB (2,515 words) - 01:25, 21 April 2024
  • theorem, or the "fundamental theorem of genetic algorithms" GlivenkoCantelli theorem, or the "fundamental theorem of statistics" Fundamental theorem...
    5 KB (553 words) - 13:53, 14 September 2024
  • propositional logic GlivenkoCantelli theorem Glivenko–Stone theorem This disambiguation page lists articles associated with the title Glivenko's theorem. If an internal...
    284 bytes (59 words) - 05:56, 29 September 2016
  • 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) - 13:44, 4 September 2024
  • Thumbnail for Donsker's theorem
    approximation. GlivenkoCantelli theorem Kolmogorov–Smirnov test Donsker, M.D. (1951). "An invariance principle for certain probability limit theorems". Memoirs...
    8 KB (1,090 words) - 03:03, 29 July 2024
  • Thumbnail for Central limit theorem
    an intuitive result underpinned by the Glivenko-Cantelli theorem. The misconceived belief that the theorem leads to a good approximation of a normal...
    65 KB (8,862 words) - 18:37, 12 November 2024
  • 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...
    4 KB (315 words) - 02:12, 21 November 2024
  • 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...
    5 KB (495 words) - 09:07, 20 February 2024
  • 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...
    20 KB (3,747 words) - 12:08, 8 July 2024
  • George Cross, the highest civil decoration of the United Kingdom GlivenkoCantelli theorem, in probability GC, the DIN code for pigment-coated, virgin mechanical...
    4 KB (574 words) - 04:15, 30 August 2024
  • Central limit theorem Continuous mapping theorem GlivenkoCantelli theorem Law of large numbers Law of the iterated logarithm Slutsky's theorem Delta method...
    9 KB (923 words) - 13:40, 23 February 2022
  • F pointwise. Glivenko and Cantelli strengthened this result by proving uniform convergence of Fn to F by the GlivenkoCantelli theorem. A centered and...
    7 KB (895 words) - 21:45, 17 February 2024
  • probability Exotic probability Schrödinger method Empirical measure GlivenkoCantelli theorem Zero–one law Kolmogorov's zero–one law Hewitt–Savage zero–one...
    11 KB (1,000 words) - 14:07, 2 May 2024
  • approximates the CDF. This can be seen as a consequence of the GlivenkoCantelli theorem. Some methods for calculating the percentiles are given below...
    18 KB (2,587 words) - 01:14, 22 December 2023
  • Thumbnail for Kolmogorov–Smirnov test
    between the two distribution functions across all x values. By the GlivenkoCantelli theorem, if the sample comes from distribution F(x), then Dn converges...
    32 KB (4,105 words) - 19:57, 11 September 2024
  • theory) Gleason's theorem (Hilbert space) Glivenko's theorem (mathematical logic) Glivenko's theorem (probability) GlivenkoCantelli theorem (probability)...
    73 KB (6,038 words) - 09:58, 20 November 2024
  • Gillespie algorithm Gini coefficient Girsanov theorem Gittins index GLIM (software) – software GlivenkoCantelli theorem GLUE (uncertainty assessment) Goldfeld–Quandt...
    87 KB (8,285 words) - 04:29, 7 October 2024
  • 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...
    9 KB (1,286 words) - 07:36, 13 May 2024
  • n {\displaystyle X_{1},\ldots ,X_{n}} , and according to the GlivenkoCantelli theorem converges almost surely to F ( x ) {\displaystyle F(x)} . Shalyt...
    2 KB (321 words) - 19:21, 13 April 2023
  • }}_{n}} satisfies the Lindeberg condition, so the CLT holds. The GlivenkoCantelli theorem provides theoretical background for the bootstrap method. Accuracy...
    69 KB (9,334 words) - 09:21, 13 November 2024
  • Donsker classes (category Central limit theorem)
    hypothesis testing. Empirical process Central limit theorem Brownian bridge GlivenkoCantelli theorem Vapnik–Chervonenkis theory Weak convergence (probability)...
    3 KB (453 words) - 09:30, 3 January 2024
  • 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...
    8 KB (524 words) - 11:06, 2 August 2024
  • 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...
    91 KB (11,662 words) - 16:58, 10 October 2024
  • 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)...
    15 KB (1,588 words) - 00:42, 7 November 2024
  • 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 (11,912 words) - 17:13, 17 October 2024
  • ISBN 0-521-46102-2. Wolfowitz, J. (1954). "Generalization of the theorem of GlivenkoCantelli". Annals of Mathematical Statistics. 25 (1): 131–138. doi:10...
    6 KB (961 words) - 15:56, 8 February 2024
  • uniform GlivenkoCantelli classes. It has been shown that under certain regularity conditions, learnable classes and uniformly Glivenko-Cantelli classes...
    9 KB (1,338 words) - 19:59, 14 November 2023
  • Donsker's theorem / (LU:C) Empirical distribution function Empirical measure / (FL:RG) (U:D) Empirical process / (FL:RG) (U:D) GlivenkoCantelli theorem / (FL:RG)...
    35 KB (3,026 words) - 12:15, 30 October 2023
  • {\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...
    14 KB (2,202 words) - 15:26, 29 August 2024