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Bootstrap inference for panel data quantile regression

Antonio F. Galvao, Thomas Parker, Zhijie Xiao

arXiv 5 Nov 2021 · Econometrics · publishedJournal of Business and Economic Statistics (2023) · 23 citations (OpenAlex)

arXiv:2111.03626 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper develops bootstrap methods for practical statistical inference in panel data quantile regression models with fixed effects. We consider random-weighted bootstrap resampling and formally establish its validity for asymptotic inference. The bootstrap algorithm is simple to implement in practice by using a weighted quantile regression estimation for fixed effects panel data. We provide results under conditions that allow for temporal dependence of observations within individuals, thus encompassing a large class of possible empirical applications. Monte Carlo simulations provide numerical evidence the proposed bootstrap methods have correct finite sample properties. Finally, we provide an empirical illustration using the environmental Kuznets curve.

Citation extraction

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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
1Kato, Galvao, and Montes-Rojas (2012) Asymptotics for Panel Quantile Regression Models with Individual Effects0.92810480%
2Galvao and Wang (2015) Efficient Minimum Distance Estimator for Quantile Regression Fixed Effects Panel Data0.87452100%
3Koenker (2004) Quantile Regression for Longitudinal Data0.84333100%
4Galvao, Gu, and Volgushev (2020) On the Unbiased Asymptotic Normality of Quantile Regression with Fixed Effects0.83014457%
5Belloni, Chernozhukov, Chetverikov, and Fernández-Val (2019) Conditional Quantile Processes Based on Series or Many Regressors0.64422100%
6Galvao and Kato (2017) Quantile Regression Methods for Longitudinal Data0.64422100%
7Hahn and Newey (2004) Jackknife and Analytical Bias Reduction for Nonlinear Panel Models0.64422100%
8Rao and Zhao (1992) Approximation to the Distribution of M-Estimates in Linear Models by Randomly Weighted Bootstrap0.64422100%
9Prstgaard and Wellner (1993) Exchangeably Weighted Bootstraps of the General Empirical Process0.5112250%
10Bose and Chatterjee (2003) Generalized Bootstrap for Estimators of Minimizers of Convex Functions0.51121100%

Showing the top 10 of 75 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Partitioned Wild Bootstrap for Panel Data Quantile Regression0.87464
2Quantile Time Series Regression Models Revisited0.40511
3Optimal Estimation Methodologies for Panel Data Regression Models0.40511