| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1156220 | Stochastic Processes and their Applications | 2015 | 29 Pages |
Abstract
We prove a Marcinkiewicz–Zygmund type inequality for random variables taking values in a smooth Banach space. Next, we obtain some sharp concentration inequalities for the empirical measure of {T,T2,⋯,Tn}{T,T2,⋯,Tn}, on a class of smooth functions, when TT belongs to a class of nonuniformly expanding maps of the unit interval.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
J. Dedecker, F. Merlevède,