Estimation of semiparametric models when the criterion function is not smooth

Chen, Xiaohong, Linton, Oliver and Van Keilegom, Ingrid (2003) Estimation of semiparametric models when the criterion function is not smooth. Econometrics; EM/2003/450, EM/03/450. Suntory and Toyota International Centres for Economics and Related Disciplines, London School of Economics and Political Science, London.

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Abstract

We provide easy to verify sufficient conditions for the consistency and asymptotic normality of a class of semiparametric optimization estimators where the criterion function does not obey standard smoothness conditions and simultaneously depends on some nonparametric estimators that can themselves depend on the parameters to be estimated. Our results extend existing theories like those of Pakes and Pollard (1989), Andrews (1994a) and Newey (1994). We also show that bootstrap provides asymptotically correct confidence regions for the finite dimensional parameters. We apply our results to two examples: a 'hit rate' and a partially linear median regression with some endogenous regressors.

Item Type:	Monograph (Discussion Paper)
Official URL:	http://sticerd.lse.ac.uk
Additional Information:	© 2003 the authors
Uncontrolled Keywords:	Empirical processes; non-smooth criterion; semiparametric estimation; stochastic equicontinuity
Library of Congress subject classification:	H Social Sciences > HB Economic Theory
Journal of Economic Literature Classification System:	?? JEL_C14. ?? C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods: General > C14 - Semiparametric and Nonparametric Methods C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods: General > C13 - Estimation
Sets:	Research centres and groups > Financial Markets Group (FMG) Collections > Economists Online Departments > Economics Research centres and groups > Suntory and Toyota International Centres for Economics and Related Disciplines (STICERD)
Rights:	http://www.lse.ac.uk/library/rights/LSERO.htm
Identification Number:	EM/03/450
URL:	http://eprints.lse.ac.uk/2167/

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