## On weakly bounded empirical processes

### 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

Collections ANU Research Publications 2008 Journal article http://hdl.handle.net/1885/39010 Mathematische Annalen 10.1007/s00208-007-0152-9