Ridge Estimation of High Dimensional Two-Way Fixed Effect Regression

Fuente: arXiv
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Autori principali: He, Junnan, Robin, Jean-Marc
Natura: Preprint
Pubblicazione: 2026
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author He, Junnan
Robin, Jean-Marc
author_facet He, Junnan
Robin, Jean-Marc
contents We study a ridge estimator for the high-dimensional two-way fixed effect regression model with a sparse bipartite network. We develop concentration inequalities showing that when the ridge parameters increase as the log of the network size, the bias, and the variance-covariance matrix of the vector of estimated fixed effects converge to deterministic equivalents that depend only on the expected network. We provide simulations and an application using administrative data on wages for worker-firm matches.
format Preprint
id arxiv_https___arxiv_org_abs_2601_04101
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Ridge Estimation of High Dimensional Two-Way Fixed Effect Regression
He, Junnan
Robin, Jean-Marc
Econometrics
Methodology
We study a ridge estimator for the high-dimensional two-way fixed effect regression model with a sparse bipartite network. We develop concentration inequalities showing that when the ridge parameters increase as the log of the network size, the bias, and the variance-covariance matrix of the vector of estimated fixed effects converge to deterministic equivalents that depend only on the expected network. We provide simulations and an application using administrative data on wages for worker-firm matches.
title Ridge Estimation of High Dimensional Two-Way Fixed Effect Regression
topic Econometrics
Methodology
url https://arxiv.org/abs/2601.04101