1993RePEc: Research Papers in EconomicsRequires access

Efficient Estimation of Average Derivative

И. А. Ибрагимов

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Abstract

We propose here a variant of kernel estimators for weighted average derivative. We investigate also under which a priori conditions imposed on the smoothness of density function the effective estimation is possible. This result is connected with general results about efficient estimation of nonlinear functionals in nonparametric statistical problems

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What this paper is about

We propose here a variant of kernel estimators for weighted average derivative. We investigate also under which a priori conditions imposed on the smoothness of density function the effective estimation is possible. This result is connected with general results about efficient estimation of nonlinear functionals in nonparametric statistical problems

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Available abstract

We propose here a variant of kernel estimators for weighted average derivative. We investigate also under which a priori conditions imposed on the smoothness of density function the effective estimation is possible. This result is connected with general results about efficient estimation of nonlinear functionals in nonparametric statistical problems

Key concepts: Estimator, Smoothness, Nonparametric statistics, Multivariate kernel density estimation, Kernel density estimation, Estimation, Mathematics, A priori and a posteriori

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