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Gradient Wild Bootstrap for Instrumental Variable Quantile Regressions with Weak and Few Clusters

Wenjie Wang, Yichong Zhang

arXiv 20 Aug 2024 · Econometrics · 1 citations (OpenAlex)

arXiv:2408.10686 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We study the gradient wild bootstrap-based inference for instrumental variable quantile regressions in the framework of a small number of large clusters in which the number of clusters is viewed as fixed, and the number of observations for each cluster diverges to infinity. For the Wald inference, we show that our wild bootstrap Wald test, with or without studentization using the cluster-robust covariance estimator (CRVE), controls size asymptotically up to a small error as long as the parameter of endogenous variable is strongly identified in at least one of the clusters. We further show that the wild bootstrap Wald test with CRVE studentization is more powerful for distant local alternatives than that without. Last, we develop a wild bootstrap Anderson-Rubin (AR) test for the weak-identification-robust inference. We show it controls size asymptotically up to a small error, even under weak or partial identification for all clusters. We illustrate the good finite-sample performance of the new inference methods using simulations and provide an empirical application to a well-known dataset about US local labor markets.

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71
references
170
in-text mentions
71
distinct cited
3
self-citations
19,232
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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Autor, D., D. Dorn, and G. H. Hanson (2013) The China syndrome: Local labor market effects of import competition in the United States1.000113100%
2Canay, I. A., A. Santos, and A. M. Shaikh (2021) The wild bootstrap with a “small" number of “large" clusters1.00093100%
3Leung, M. P (2023) Network cluster-robust inference1.00093100%
4Chernozhukov, V. and C. Hansen (2008) Chernozhukov-Hansen(2008a)Instrumental variable quantile regression: A robust inference approach1.00083100%
5Wang, W. and Y. Zhang (2024) Wild bootstrap inference for instrumental variables regressions with weak and few clusters self1.00063100%
6Djogbenou, A. A., J. G. MacKinnon, and M. . Nielsen (2019) Djogbenou-Mackinnon-Nielsen(2019)Asymptotic theory and wild bootstrap inference with clustered errors1.00053100%
7MacKinnon, J. G., M. . Nielsen, and M. D. Webb (2023) Cluster-robust inference: A guide to empirical practice1.00053100%
8Chernozhukov, V. and C. Hansen (2006) Chernozhukov-Hansen(2006)Instrumental quantile regression inference for structural and treatment effect models0.92314479%
9Hagemann, A (2017) Hagemann(2017)Cluster-robust bootstrap inference in quantile regression models0.87462100%
10Bester, C. A., T. G. Conley, and C. B. Hansen (2011) Inference with dependent data using cluster covariance estimators0.87452100%

Showing the top 10 of 71 scored citations.