Generalized Jackknife Estimators of Weighted Average Derivatives

Matias Cattaneo, Richard Crump and Michael Jansson

CREATES Research Papers from Department of Economics and Business Economics, Aarhus University

Abstract: With the aim of improving the quality of asymptotic distributional approximations for nonlinear functionals of nonparametric estimators, this paper revisits the large-sample properties of an important member of that class, namely a kernel-based weighted average derivative estimator. Asymptotic linearity of the estimator is established under weak conditions. Indeed, we show that the bandwidth conditions employed are necessary in some cases. A bias-corrected version of the estimator is proposed and shown to be asymptotically linear under yet weaker bandwidth conditions. Consistency of an analog estimator of the asymptotic variance is also established. To establish the results, a novel result on uniform convergence rates for kernel estimators is obtained.

Keywords: Semiparametric estimation; bias correction; uniform consistency. (search for similar items in EconPapers)
JEL-codes: C14 C21 (search for similar items in EconPapers)
Pages: 43
Date: 2011-04-08
New Economics Papers: this item is included in nep-ecm
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Citations: View citations in EconPapers (7)

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Related works:
Journal Article: Generalized Jackknife Estimators of Weighted Average Derivatives (2013)
Working Paper: Generalized Jackknife Estimators of Weighted Average Derivatives (2013)
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Persistent link: https://EconPapers.repec.org/RePEc:aah:create:2011-12

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