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The Review of Economics and Statistics Vol. 106 No. 2 2024

Inference on Conditional Quantile Processes in Partially Linear Models with Applications to the Impact of Unemployment Benefits

Zhongjun Qu1; Jungmo Yoon2; Pierre Perron1

1 Boston University · 2 Hanyang University

Abstract

We propose methods to estimate and make inferences on conditional quantile processes for models with both nonparametric and (locally or globally) linear components. We derive their asymptotic properties, optimal bandwidths, and uniform confidence bands over quantiles allowing for robust bias correction. Our framework covers the sharp regression discontinuity design, which is used to study the effects of unemployment insurance benefits extensions, focusing on heterogeneity over quantiles and covariates. We show economically strong effects in the tails of the outcome distribution. They reduce the within-group inequality, but can be viewed as enhancing between-group inequality, although they help to bridge the gender gap.

DOI
10.1162/rest_a_01168
Volume
106
Issue
2
Pages
521-541
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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