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

Degui Li, Zudi Lu and Oliver Linton

LSE Research Online Documents on Economics from London School of Economics and Political Science, LSE Library

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.

Keywords: α − mixing; local linear fitting; near epoch dependence; convergence rates; uniform consistency (search for similar items in EconPapers)
JEL-codes: J1 (search for similar items in EconPapers)
Pages: 33 pages
Date: 2010-08
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http://eprints.lse.ac.uk/58160/ Open access version. (application/pdf)

Related works:
Working Paper: Loch Linear Fitting under Near Epoch Dependence: Uniform Consistency with Convergence Rate (2010)
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Persistent link: https://EconPapers.repec.org/RePEc:ehl:lserod:58160

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