Bracketing smooth functions

Aad van der Vaart

Stochastic Processes and their Applications, 1994, vol. 52, issue 1, 93-105

Abstract: 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 .

Keywords: Bracketing; number; Covering; number; Entropy; Glivenko-Cantelli; class; Donsker; class; Empirical; central; limit; theorem (search for similar items in EconPapers)
Date: 1994
References: Add references at CitEc
Citations: View citations in EconPapers (7)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0304-4149(94)90102-3
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:52:y:1994:i:1:p:93-105

Ordering information: This journal article can be ordered from
http://http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Stochastic Processes and their Applications is currently edited by T. Mikosch

More articles in Stochastic Processes and their Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().