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Smoothed instrumental variables quantile regression

David M. Kaplan

arXiv 13 Oct 2023 · Econometrics · publishedThe Stata Journal Promoting communications on statistics and Stata (2022) · 63 citations (OpenAlex)

arXiv:2310.09013 · PDF · DOI · OpenAlex · Extracted main text

Abstract

In this article, I introduce the sivqr command, which estimates the coefficients of the instrumental variables (IV) quantile regression model introduced by Chernozhukov and Hansen (2005). The sivqr command offers several advantages over the existing ivqreg and ivqreg2 commands for estimating this IV quantile regression model, which complements the alternative "triangular model" behind cqiv and the "local quantile treatment effect" model of ivqte. Computationally, sivqr implements the smoothed estimator of Kaplan and Sun (2017), who show that smoothing improves both computation time and statistical accuracy. Standard errors are computed analytically or by Bayesian bootstrap; for non-iid sampling, sivqr is compatible with bootstrap. I discuss syntax and the underlying methodology, and I compare sivqr with other commands in an example.

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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
1Kaplan, D. M., and Y. Sun (2017) Smoothed Estimating Equations for Instrumental Variables Quantile Regression self1.000166100%
2Chernozhukov, V., and C. Hansen (2005) An IV Model of Quantile Treatment Effects1.00085100%
3width30.25006ptheight2.62222ptdepth-2.25222pt (2006) Instrumental quantile regression inference for structural and treatment effect models0.73732100%
4Silverman, B. W (1986) Density Estimation for Statistics and Data Analysis, vol. 26 of Monographs on Statistics and Applied Probability0.69351100%
5Imbens, G. W., and W. K. Newey (2009) Identification and Estimation of Triangular Simultaneous Equations Models Without Additivity0.64422100%
6Liu, X (2019) Averaging estimation for instrumental variables quantile regression0.64422100%
7Rubin, D. B (1981) The Bayesian Bootstrap0.64422100%
8Kwak, D. W (2010) ivqreg.ado (Stata code) version 1.0.00.64422100%
9Machado, J. A. F., and J. M. C. Santos Silva (2018) IVQREG2: Stata module to provide structural quantile function estimation0.64422100%
10Chernozhukov, V., C. Hansen, and K. Wüthrich (2017) Instrumental Variable Quantile Regression0.51121100%

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Cited by, within the corpus

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

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1Confidence intervals for intentionally biased estimators0.40511