Generalized Jackknife Estimators of Weighted Average Derivatives

Matias Cattaneo, Richard Crump and Michael Jansson

Journal of the American Statistical Association, 2013, vol. 108, issue 504, 1243-1256

Abstract: With the aim of improving the quality of asymptotic distributional approximations for nonlinear functionals of nonparametric estimators, this article 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. Implementational details of the estimators are discussed, including bandwidth selection procedures. Consistency of an analog estimator of the asymptotic variance is also established. Numerical results from a simulation study and an empirical illustration are reported. To establish the results, a novel result on uniform convergence rates for kernel estimators is obtained. The online supplemental material to this article includes details on the theoretical proofs and other analytic derivations, and further results from the simulation study.

Date: 2013
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Citations: View citations in EconPapers (23)

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Related works:
Working Paper: Generalized Jackknife Estimators of Weighted Average Derivatives (2013)
Working Paper: Generalized Jackknife Estimators of Weighted Average Derivatives (2011)
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Persistent link: https://EconPapers.repec.org/RePEc:taf:jnlasa:v:108:y:2013:i:504:p:1243-1256

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DOI: 10.1080/01621459.2012.745810

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