then show that the class F is P-Glivenko-Cantelli.
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I have some doubts related to example 19.6 in van der Vaart "Asymptotic Statistics" which applies Theorem 19.4 (Glivenko-Cantelli) and Theorem 19.5 (Donsker) ...
P Bartlett 著 — Definition: F is a Glivenko-Cantelli class for P if sup f∈F ... indexed by a class of functions F, and Pn − PF := sup f∈F. |Pnf − Pf|.
G SUZUKI 著Let (2, 4, P) be a probability space and $=($,$", ..., *) a k di- ... we shall say that the pair (F, 6) belongs to the Glivenko-Cantelli class. 被引用数: 4 —
N Alon 著In this work we derive a variant of the classic Glivenko-Cantelli Theorem, which ... The above theorems show that, with high probability, F and Fn are close ... 2017 被引用数: 8 —
A van der Vaart 著ABSTRACT We show that the P−Glivenko property of classes of functions ... in this case we say that F is a strong Glivenko-Cantelli class for P. Useful. 被引用数: 121 —
family F is said to be a µ-Glivenko-Cantelli class (cf. ... 225 and p. ... Adams and Nobel  showed that Vapnik-Chervonenkis classes of sets are uni-.
Evarist Giné、 David M. Mason、 Jon A. Wellner — 2012Mathematics
Furthermore, it suffices to show that p(F1 ... Any strong P-Glivenko Cantelli class F is totally bounded in L1(P) if and only if ||P||+ 4 co.