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Specification And Estimation Of Semiparametric Multiple-Index Models

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  • Donkers, Bas
  • Schafgans, Marcia

Abstract

We propose an easy to use derivative-based two-step estimation procedure for semiparametric index models, where the number of indexes is not known a priori. In the first step various functionals involving the derivatives of the unknown function are estimated using nonparametric kernel estimators, in particular the average outer product of the gradient (AOPG). By testing the rank of the AOPG we determine the required number of indexes. Subsequently, we estimate the index parameters in a method of moments framework, with moment conditions constructed using the estimated average derivative functionals. The estimator readily extends to multiple equation models and is shown to be root-N-consistent and asymptotically normal.

Suggested Citation

  • Donkers, Bas & Schafgans, Marcia, 2008. "Specification And Estimation Of Semiparametric Multiple-Index Models," Econometric Theory, Cambridge University Press, vol. 24(6), pages 1584-1606, December.
    • Handle: RePEc:cup:etheor:v:24:y:2008:i:06:p:1584-1606_08
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    Cited by:

    1. Lewbel, Arthur & Lin, Xirong, 2022. "Identification of semiparametric model coefficients, with an application to collective households," Journal of Econometrics, Elsevier, vol. 226(2), pages 205-223.
    2. Yixiao Jiang, 2021. "Semiparametric Estimation of a Corporate Bond Rating Model," Econometrics, MDPI, vol. 9(2), pages 1-20, May.
    3. Sadikoglu, Serhan, 2019. "Essays in econometric theory," Other publications TiSEM 99d83644-f9dc-49e3-a4e1-5, Tilburg University, School of Economics and Management.
    4. Aradillas-López, Andrés, 2021. "Computing semiparametric efficiency bounds in discrete choice models with strategic-interactions and rational expectations," Journal of Econometrics, Elsevier, vol. 221(1), pages 25-42.
    5. repec:cep:stiecm:/2011/557 is not listed on IDEAS

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