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Higher-Order Asymptotic Expansions of the Least-Squares Estimation Bias in First-Order Dynamic Regression Models

Jan Kiviet and Garry Phillips

Discussion Papers from University of Exeter, Department of Economics

Abstract: An approximation to order T-2 is obtained for the bias of the least-squares estimator in the stationary ARX model which yields generalisations of Kendall's and White's classic results for particular variants of AR(1) models. The results show that generally the second-order approximation is considerably better than its first-order counterpart in ARX models. This is also largely true for AR(1) models except that in such models second-order approximations may be vulnerable in the near unit root case.

Keywords: UNIT ROOTS; REGRESSION ANALYSIS; ECONOMETRICS (search for similar items in EconPapers)
JEL-codes: C13 C22 (search for similar items in EconPapers)
Pages: 52 pages
Date: 1999
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Citations: View citations in EconPapers (3)

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Journal Article: Higher-order asymptotic expansions of the least-squares estimation bias in first-order dynamic regression models (2012) Downloads
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