PERFORMANCE OF EMPIRICAL RISK MINIMIZATION FOR LINEAR REGRESSION WITH DEPENDENT DATA

B-Tier
Journal: Econometric Theory
Year: 2025
Volume: 41
Issue: 2
Pages: 391-420

Authors (2)

Brownlees, Christian (Barcelona School of Economics ...) Guđmundsson, Guđmundur Stefán (not in RePEc)

Score contribution per author:

1.005 = (α=2.01 / 2 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

This paper establishes bounds on the performance of empirical risk minimization for large-dimensional linear regression. We generalize existing results by allowing the data to be dependent and heavy-tailed. The analysis covers both the cases of identically and heterogeneously distributed observations. Our analysis is nonparametric in the sense that the relationship between the regressand and the regressors is not specified. The main results of this paper show that the empirical risk minimizer achieves the optimal performance (up to a logarithmic factor) in a dependent data setting.

Technical Details

RePEc Handle
repec:cup:etheor:v:41:y:2025:i:2:p:391-420_5
Journal Field
Econometrics
Author Count
2
Added to Database
2026-01-24