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A derivative based estimator for semiparametric index models

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Author Info
Donkers, B.
Schafgans, M. (Tilburg University, Center for Economic Research)

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Abstract

This paper proposes a semiparametric estimator for single- and multiple index models. It provides an extension of the average derivative estimator to the multiple index model setting. The estimator uses the average of the outer product of derivatives and is shown to be root-N consistent and asymptotically normal. Unlike the average derivative estimator, our estimator still works in the single-index setting when the expected derivative is zero (symmetry). Compared to other estimators for multiple index models, the proposed estimator has the advantage of ease of computation. While many econometric models can be regarded as multiple index models with known number of indices, our estimator in addition provides for a natural framework within which to test for the number of indices required.

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Publisher Info
Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 22.

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Date of creation: 2003
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Handle: RePEc:dgr:kubcen:200322

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Related research
Keywords: semiparametric estimation;

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This paper has been announced in the following NEP Reports: References listed on IDEAS
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  1. Cragg, John G. & Donald, Stephen G., 1997. "Inferring the rank of a matrix," Journal of Econometrics, Elsevier, vol. 76(1-2), pages 223-250. [Downloadable!] (restricted)
  2. Horowitz, Joel L, 1992. "A Smoothed Maximum Score Estimator for the Binary Response Model," Econometrica, Econometric Society, vol. 60(3), pages 505-31, May. [Downloadable!] (restricted)
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  1. Stephen G. Donald & Natércia Fortuna & Vladas Pipiras, 2005. "On rank estimation in symmetric matrices: the case of indefinite matrix estimators," FEP Working Papers 167, Universidade do Porto, Faculdade de Economia do Porto. [Downloadable!]
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This page was last updated on 2009-11-25.


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