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Gaussian Inference In Ar(1) Time Series With Or Without A Unit Root

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Author Info
Phillips, Peter C.B.
Han, Chirok

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Abstract

This paper introduces a simple first-difference-based approach to estimation and inference for the AR(1) model. The estimates have virtually no finite-sample bias and are not sensitive to initial conditions, and the approach has the unusual advantage that a Gaussian central limit theory applies and is continuous as the autoregressive coefficient passes through unity with a uniform rate of convergence. En route, a useful central limit theorem (CLT) for sample covariances of linear processes is given, following Phillips and Solo (1992, Annals of Statistics, 20, 971 1001). The approach also has useful extensions to dynamic panels.

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Publisher Info
Article provided by Cambridge University Press in its journal Econometric Theory.

Volume (Year): 24 (2008)
Issue (Month): 03 (June)
Pages: 631-650
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Handle: RePEc:cup:etheor:v:24:y:2008:i:03:p:631-650_08

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References listed on IDEAS
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. Peter C.B. Phillips & Tassos Magdalinos, 2004. "Limit Theory for Moderate Deviations from a Unit Root," Cowles Foundation Discussion Papers 1471, Cowles Foundation, Yale University. [Downloadable!]
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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. Kazuhiko Hayakawa, 2007. "Dynamic Panel Data Models with Cross Section Dependence and Heteroscedasticity," Hi-Stat Discussion Paper Series d07-212, Institute of Economic Research, Hitotsubashi University. [Downloadable!]
  2. Kazuhiko Hayakawa, 2006. "A Note on Bias in First-Differenced AR(1) Models," Economics Bulletin, Economics Bulletin, vol. 3(27), pages 1-10. [Downloadable!]
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This page was last updated on 2009-12-20.

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