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On weakly bounded empirical processes

Mendelson, Shahar

Description

Let F be a class of functions on a probability space (Ω, μ) and let X 1,...,X k be independent random variables distributed according to μ. We establish an upper bound that holds with high probability on {\rm sup}_{f \in F} |\{i : |f(X_i)| \geq t \for

CollectionsANU Research Publications
Date published: 2008
Type: Journal article
URI: http://hdl.handle.net/1885/39010
Source: Mathematische Annalen
DOI: 10.1007/s00208-007-0152-9

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