Loch linear fitting under near epoch dependence: uniform consistency with convergence rate

Li, Degui, Lu, Zudi and Linton, Oliver (2010) Loch linear fitting under near epoch dependence: uniform consistency with convergence rate. Econometrics (EM/2010/549). Suntory and Toyota International Centres for Economics and Related Disciplines, London, UK.

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Abstract

Local linear fitting is a popular nonparametric method in nonlinear statistical and econometric modelling. Lu and Linton (2007) established the point wise asymptotic distribution (central limit theorem) for the local linear estimator of nonparametric regression function under the condition of near epoch dependence. We further investigate the uniform consistency of this estimator. The uniformly strong and weak consistencies with convergence rates for the local linear fitting are established under mild conditions. Furthermore, general results of uniform convergence rates for nonparametric kernel-based estimators are provided. Applications of our results to conditional variance function estimation and some economic time series models are also discussed. The results of this paper will be of widely potential interest in time series semiparametric modelling.

Item Type:	Monograph (Report)
Official URL:	http://sticerd.lse.ac.uk/
Additional Information:	© 2014 The Author
Divisions:	STICERD
Subjects:	H Social Sciences > HB Economic Theory
Date Deposited:	23 Jul 2014 09:44
Last Modified:	13 Sep 2024 16:43
URI:	http://eprints.lse.ac.uk/id/eprint/58160

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