Gaussian approximation of suprema of empirical processes

This paper develops a new direct approach to approximating suprema of general empirical processes by a sequence of suprema of Gaussian processes, without taking the route of approximating whole empirical processes in the sup-norm. We prove an abstract approximation theorem applicable to a wide varie...

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Bibliographic Details
Main Authors: Chetverikov, Denis, Kato, Kengo, Chernozhukov, Victor V
Other Authors: Massachusetts Institute of Technology. Department of Economics
Format: Article
Published: Institute of Mathematical Statistics 2018
Online Access:http://hdl.handle.net/1721.1/113855
https://orcid.org/0000-0002-3250-6714

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