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The Review of Economics and Statistics Vol. 105 No. 1 2023

Targeted Undersmoothing: Sensitivity Analysis for Sparse Estimators

Christian Hansen1; Damian Kozbur2; Sanjog Misra1

1 University of Chicago · 2 University of Zurich

open access

Abstract

This paper proposes a procedure for assessing the sensitivity of inferential conclusions for functionals of sparse high-dimensional models following model selection. The proposed procedure is called targeted undersmoothing. Functionals considered include dense functionals that may depend on many or all elements of the high-dimensional parameter vector. The sensitivity analysis is based on systematic enlargements of an initially selected model. By varying the enlargements, one can conduct sensitivity analysis about the strength of empirical conclusions to model selection mistakes. We illustrate the procedure's performance through simulation experiments and two empirical examples.

DOI
10.1162/rest_a_01017
Volume
105
Issue
1
Pages
101-112
Language
en
Sources
bibtex:phds-export.bib crossref openalex

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