nprobust: Nonparametric Kernel-Based Estimation and Robust Bias-Corrected Inference

Nonparametric kernel density and local polynomial regression estimators are very popular in statistics, economics, and many other disciplines. They are routinely employed in applied work, either as part of the main empirical analysis or as a preliminary ingredient entering some other estimation or i...

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Main Authors: Sebastian Calonico, Matias D. Cattaneo, Max H. Farrell
Format: Article
Language:English
Published: Foundation for Open Access Statistics 2019-10-01
Series:Journal of Statistical Software
Subjects:
Online Access:https://www.jstatsoft.org/index.php/jss/article/view/3260
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author Sebastian Calonico
Matias D. Cattaneo
Max H. Farrell
author_facet Sebastian Calonico
Matias D. Cattaneo
Max H. Farrell
author_sort Sebastian Calonico
collection DOAJ
description Nonparametric kernel density and local polynomial regression estimators are very popular in statistics, economics, and many other disciplines. They are routinely employed in applied work, either as part of the main empirical analysis or as a preliminary ingredient entering some other estimation or inference procedure. This article describes the main methodological and numerical features of the software package nprobust, which offers an array of estimation and inference procedures for nonparametric kernel-based density and local polynomial regression methods, implemented in both the R and Stata statistical platforms. The package includes not only classical bandwidth selection, estimation, and inference methods (Wand and Jones 1995; Fan and Gijbels 1996), but also other recent developments in the statistics and econometrics literatures such as robust bias-corrected inference and coverage error optimal bandwidth selection (Calonico, Cattaneo, and Farrell 2018, 2019a). Furthermore, this article also proposes a simple way of estimating optimal bandwidths in practice that always delivers the optimal mean square error convergence rate regardless of the specific evaluation point, that is, no matter whether it is implemented at a boundary or interior point. Numerical performance is illustrated using an empirical application and simulated data, where a detailed numerical comparison with other R packages is given.
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spelling doaj.art-8a523163c66b49038d15562cf0f8ead92022-12-21T18:13:49ZengFoundation for Open Access StatisticsJournal of Statistical Software1548-76602019-10-0191113310.18637/jss.v091.i081325nprobust: Nonparametric Kernel-Based Estimation and Robust Bias-Corrected InferenceSebastian CalonicoMatias D. CattaneoMax H. FarrellNonparametric kernel density and local polynomial regression estimators are very popular in statistics, economics, and many other disciplines. They are routinely employed in applied work, either as part of the main empirical analysis or as a preliminary ingredient entering some other estimation or inference procedure. This article describes the main methodological and numerical features of the software package nprobust, which offers an array of estimation and inference procedures for nonparametric kernel-based density and local polynomial regression methods, implemented in both the R and Stata statistical platforms. The package includes not only classical bandwidth selection, estimation, and inference methods (Wand and Jones 1995; Fan and Gijbels 1996), but also other recent developments in the statistics and econometrics literatures such as robust bias-corrected inference and coverage error optimal bandwidth selection (Calonico, Cattaneo, and Farrell 2018, 2019a). Furthermore, this article also proposes a simple way of estimating optimal bandwidths in practice that always delivers the optimal mean square error convergence rate regardless of the specific evaluation point, that is, no matter whether it is implemented at a boundary or interior point. Numerical performance is illustrated using an empirical application and simulated data, where a detailed numerical comparison with other R packages is given.https://www.jstatsoft.org/index.php/jss/article/view/3260kernel-based nonparametricsbandwidth selectionbias correctionrobust inferencerstata
spellingShingle Sebastian Calonico
Matias D. Cattaneo
Max H. Farrell
nprobust: Nonparametric Kernel-Based Estimation and Robust Bias-Corrected Inference
Journal of Statistical Software
kernel-based nonparametrics
bandwidth selection
bias correction
robust inference
r
stata
title nprobust: Nonparametric Kernel-Based Estimation and Robust Bias-Corrected Inference
title_full nprobust: Nonparametric Kernel-Based Estimation and Robust Bias-Corrected Inference
title_fullStr nprobust: Nonparametric Kernel-Based Estimation and Robust Bias-Corrected Inference
title_full_unstemmed nprobust: Nonparametric Kernel-Based Estimation and Robust Bias-Corrected Inference
title_short nprobust: Nonparametric Kernel-Based Estimation and Robust Bias-Corrected Inference
title_sort nprobust nonparametric kernel based estimation and robust bias corrected inference
topic kernel-based nonparametrics
bandwidth selection
bias correction
robust inference
r
stata
url https://www.jstatsoft.org/index.php/jss/article/view/3260
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AT maxhfarrell nprobustnonparametrickernelbasedestimationandrobustbiascorrectedinference