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Nonparametric Estimation of Semiparametric Transformation Models

  • Senay Sokullu

    ()

In this paper we develop a nonparametric estimation technique for semiparametric transformation models of the form: H(Y)=P(Z)+X'B+U where H,P and B and are unknown and the variables (Y,Z) are endogenous. Identification of the model and asymptotic properties of the estimator are analyzed under the mean independence assumption between the error term and the instruments. We show that the estimators are consistent and root N convergence rate for the estimate of B can be attained. The simulations demonstrate that our nonparametric estimates fits the data well.

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File URL: http://www.efm.bris.ac.uk/economics/working_papers/pdffiles/dp12625.pdf
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Paper provided by Department of Economics, University of Bristol, UK in its series Bristol Economics Discussion Papers with number 12/625.

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Length: 45 pages
Date of creation: Jul 2012
Date of revision:
Handle: RePEc:bri:uobdis:12/625
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  1. Christophe Bontemps & Michel Simioni & Yves Surry, 2008. "Semiparametric hedonic price models: assessing the effects of agricultural nonpoint source pollution," Working Papers 24285, Institut National de la Recherche Agronomique, France.
  2. Chen, Xiaohong & Reiss, Markus, 2011. "On Rate Optimality For Ill-Posed Inverse Problems In Econometrics," Econometric Theory, Cambridge University Press, vol. 27(03), pages 497-521, June.
  3. Frédérique Fève & Jean-Pierre Florens, 2010. "The practice of non-parametric estimation by solving inverse problems: the example of transformation models," Econometrics Journal, Royal Economic Society, vol. 13(3), pages S1-S27, October.
  4. Florens, Jean-Pierre & Johannes, Jan & Van Bellegem, Sébastien, 2009. "Instrumental Regression in Partially Linear Models," TSE Working Papers 10-167, Toulouse School of Economics (TSE).
  5. D’Haultfoeuille, Xavier, 2011. "On The Completeness Condition In Nonparametric Instrumental Problems," Econometric Theory, Cambridge University Press, vol. 27(03), pages 460-471, June.
  6. Whitney K. Newey & James L. Powell, 2003. "Instrumental Variable Estimation of Nonparametric Models," Econometrica, Econometric Society, vol. 71(5), pages 1565-1578, 09.
  7. Pierre-Andre Chiappori & Ivana Komunjer & Dennis Kristensen, 2011. "Nonparametric Identification and Estimation of Transformation Models," CAM Working Papers 2011-01, University of Copenhagen. Department of Economics. Centre for Applied Microeconometrics.
  8. Frank M. Bass, 1969. "A New Product Growth for Model Consumer Durables," Management Science, INFORMS, vol. 15(5), pages 215-227, January.
  9. Kaiser, Ulrich & Song, Minjae, 2009. "Do media consumers really dislike advertising? An empirical assessment of the role of advertising in print media markets," International Journal of Industrial Organization, Elsevier, vol. 27(2), pages 292-301, March.
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