Title
Quantitative bounds for concentration-of-measure inequalities and empirical regression: The independent case.
Abstract
This paper is devoted to the study of the deviation of the (random) average L2−error associated to the least-squares regressor over a family of functions Fn (with controlled complexity) obtained from n independent, but not necessarily identically distributed, samples of explanatory and response variables, from the minimal (deterministic) average L2−error associated to this family of functions, and to some of the corresponding consequences for the problem of consistency.
Year
DOI
Venue
2019
10.1016/j.jco.2019.01.003
Journal of Complexity
Keywords
Field
DocType
Empirical processes,Concentration inequalities,Empirical regression,Distribution-free estimates,Uniform deviation probability,Consistency
Discrete mathematics,Concentration of measure,Regression,Nonparametric statistics,Inequality,Independent and identically distributed random variables,Regression problems,Mathematics
Journal
Volume
ISSN
Citations 
52
0885-064X
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
David Barrera100.34
Emmanuel Gobet25716.25