Loch Linear Fitting under Near Epoch Dependence: Uniform Consistency with Convergence Rate
AbstractLocal linear fitting is a popular nonparametric method in nonlinear statistical andeconometric modelling. Lu and Linton (2007) established the point wise asymptoticdistribution (central limit theorem) for the local linear estimator of nonparametricregression function under the condition of near epoch dependence. We furtherinvestigate the uniform consistency of this estimator. The uniformly strong andweak consistencies with convergence rates for the local linear fitting areestablished under mild conditions. Furthermore, general results of uniformconvergence rates for nonparametric kernel-based estimators are provided.Applications of our results to conditional variance function estimation and someeconomic time series models are also discussed. The results of this paper will beof widely potential interest in time series semiparametric modelling.
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Bibliographic InfoPaper provided by Suntory and Toyota International Centres for Economics and Related Disciplines, LSE in its series STICERD - Econometrics Paper Series with number /2010/549.
Date of creation: Aug 2010
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local linear fitting; near epoch dependence; convergence rates; uniform consistency.;
Find related papers by JEL classification:
- C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
- C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models &bull Diffusion Processes
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