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Estimating Trending Variables In The Presence Of Fractionally Integrated Errors

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Tsay, Wen-Jen

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Abstract

This paper considers the problems of estimation and inference in the linear regression model with fractionally integrated errors. The ordinary least squares (OLS) and the first differenced (FD) estimators are studied. Relative to the OLS estimators, a substantial increase in the convergence rates of the coefficient estimator for the stochastic regressor can be achieved by the FD estimators when the error term is nonstationary. However, the preceding decisive results can not always sustain when the error term is stationary. We also find that the FD estimators can eliminate the spurious regression because the FD t-ratio for the coefficient estimators never diverges.

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File URL: http://journals.cambridge.org/abstract_S0266466600163029
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Publisher Info
Article provided by Cambridge University Press in its journal Econometric Theory.

Volume (Year): 16 (2000)
Issue (Month): 03 (June)
Pages: 324-346
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Handle: RePEc:cup:etheor:v:16:y:2000:i:03:p:324-346_16

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  1. J. Breitung & U. Hassler, . "Inference on the Cointegration Rank in Fractionally Integrated Processes," Sonderforschungsbereich 373 2000-65, Humboldt Universitaet Berlin.
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This page was last updated on 2009-12-20.


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