# A method of estimating the average derivative: the multivariate case

Banerjee, Anurag N. (2002) A method of estimating the average derivative: the multivariate case. Southampton, UK, University of Southampton, 25pp. (Discussion Papers in Economics and Econometrics, 0215).

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The paper uses local linear regression to estimate the direct'' Average Derivative \delta = E(D[m(x)]), where m(x) is the regression function. The estimate of \delta is the weighted average of local slope estimates. We prove the asymptotic normality of the estimate under conditions which are different from the conditions used by Heardle-Stoker (H-S) (1989). Using Monte-Carlo simulation experiments we give some small sample results comparing our estimator with the H-S estimator under our conditions for asymptotic normality.