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More Efficient Kernel Estimation in Nonparametric Regression with Autocorrelated Errors

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Author Info
Zhijie Xiao (Univ. Illinois, Urbana-Champaign)
Oliver Linton (LSE)
Raymond J. Carroll (Texas A&M Univ.)
E. Mammen (Universitat Heidelberg)

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Abstract

We propose a modification of kernel time series regression estimators that improves efficiency when the innovation process is autocorrelated. The procedure is based on a pre-whitening transformation of the dependent variable that has to be estimated from the data. We establish the asymptotic distribution of our estimator under weak dependence conditions. It is shown that the proposed estimation procedure is more efficient than the conventional kernel method. We also provide simulation evidence to suggest that gains can be achieved in moderate sized samples.

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File URL: http://cowles.econ.yale.edu/P/cd/d13b/d1375.pdf
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Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 1375.

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Length: 49 pages
Date of creation: Jun 2002
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Handle: RePEc:cwl:cwldpp:1375

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Keywords: Time series regression; Nonparametric regression; Kernel; Efficiency;

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Peter C.B. Phillips & Victor Solo, 1989. "Asymptotics for Linear Processes," Cowles Foundation Discussion Papers 932, Cowles Foundation, Yale University. [Downloadable!]
  2. J. Fan & W. H"Ardle & E. Mammen, . "Direct estimation of low dimensional components in additive models," Sonderforschungsbereich 373 1996-17, Humboldt Universitaet Berlin.
  3. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-70, March. [Downloadable!] (restricted)
  4. W. H"Ardle & O. Linton, . "Nonparametric Regression," Sonderforschungsbereich 373 1995-29, Humboldt Universitaet Berlin.
  5. Conley, Timothy G, et al, 1997. "Short-Term Interest Rates as Subordinated Diffusions," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 10(3), pages 525-77.
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Dabo-Niang, Sophie & Francq, Christian & Zakoian, Jean-Michel, 2009. "Combining parametric and nonparametric approaches for more efficient time series prediction," MPRA Paper 16893, University Library of Munich, Germany. [Downloadable!]
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