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probability, the Glivenko–Cantelli theorem (sometimes referred to as the Fundamental Theorem of Statistics), named after Valery Ivanovich Glivenko and Francesco...

solved it in 1968. If the class C {\displaystyle {\mathcal {C}}} (or F {\displaystyle {\mathcal {F}}} ) is Glivenko–Cantelli with respect to P then Pn...

converges to F pointwise. Glivenko and Cantelli strengthened this result by proving uniform convergence of Fn to F by the Glivenko–Cantelli theorem. A centered...

equivalent: The concept class C is PAC learnable. The VC dimension of C is finite. C is a uniformly Glivenko-Cantelli class.[clarification needed] C...

the function class F {\displaystyle {\mathcal {F}}} that satisfies the stochastic convergence are known as uniform Glivenko–Cantelli classes. It has been...

{H}}} is finite. H {\displaystyle {\mathcal {H}}} is a uniform Glivenko-Cantelli class. This gives a way to prove that certain hypothesis spaces are PAC...

{\displaystyle {\mathcal {F}}} is Glivenko–Cantelli or Donsker. A class F {\displaystyle {\mathcal {F}}} is P-Glivenko–Cantelli if it is P-measurable with envelope...

George Cross, the highest civil decoration of the United Kingdom Glivenko–Cantelli theorem, in probability GC, the DIN code for pigment-coated, virgin...

testing. Empirical process Central limit theorem Brownian bridge Glivenko–Cantelli theorem Vapnik–Chervonenkis theory Weak convergence (probability)...

this class C is infinite. A class with finite VC dimension is called a Vapnik–Chervonenkis class or VC class. A class C is uniformly Glivenko–Cantelli if...

Gleason's theorem (Hilbert space) Glivenko's theorem (mathematical logic) Glivenko's theorem (probability) Glivenko–Cantelli theorem (probability) Goddard–Thorn...

coefficient Girsanov theorem Gittins index GLIM (software) – software Glivenko–Cantelli theorem GLUE (uncertainty assessment) Goldfeld–Quandt test Gompertz...

}}_{n}} satisfies the Lindeberg condition, so the CLT holds. The Glivenko–Cantelli theorem provides theoretical background for the bootstrap method....

Empirical measure / (FL:RG) (U:D) Empirical process / (FL:RG) (U:D) Glivenko–Cantelli theorem / (FL:RG) (U:D) Khmaladze transformation / (FL:RG) (U:D) Vapnik–Chervonenkis...