Bracketing smooth functions

Let be the class of functions which are [alpha] times differentiable with derivatives bounded by numbers Mj on each given set Ij in a partition of . We obtain upper and lower bounds on the Lr(P)-bracketing entropy of .

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Year of publication:	1994
Authors:	van der Vaart, Aad
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 52.1994, 1, p. 93-105
Publisher:	Elsevier
Keywords:	Bracketing number Covering number Entropy Glivenko-Cantelli class Donsker class Empirical central limit theorem

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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