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Robust Data-Driven Inference for Density-Weighted Average Derivatives

delete2012-01-01
delete23
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OA
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M
Matias D. Cattaneo *
R
Richard K. Crump
M
Michael Jansson
DOI:10.1198/jasa.2010.tm09590delete
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Abstract

Abstract

En 中文
This paper presents a novel data-driven bandwidth selector compatible with the small bandwidth asymptotics developed in Cattaneo, Crump, and Jansson (2009) for density-weighted average derivatives. The new bandwidth selector is of the plug-in variety, and is obtained based on a mean squared error expansion of the estimator of interest. An extensive Monte Carlo experiment shows a remarkable improvement in performance when the bandwidth-dependent robust inference procedures proposed by Cattaneo. Crump, and Jansson (2009) are coupled with this new data-driven bandwidth selector. The resulting robust data-driven confidence intervals compare favorably to the alternative procedures available in the literature. The online supplemental material to this paper contains further results from the simulation study.
Keywords:
Averaged derivative
Bandwidth selection
Robust inference
Small bandwidth asymptotics
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