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BIAS REDUCTION IN A DYNAMIC REGRESSION MODEL: A Comparison of Jackknifed and Bias Corrected Least Squares Estimators

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  • Kiviet, Jan
  • Phillips, Garry

Abstract

Employing small—sigma asymptotics we approximate the small—sample bias of the ordinary least—squares (OLS) estimator of the full coefficient vector in a linear regression model which includes a one period lagged dependent variable and an arbitrary number of fixed regressors. This bias term is used to construct a corrected ordinary least—squares (COLS) estimator which is unbiased to 0( cr2) . We also consider another technique for bias reduction, viz. jackknifing, and we present a simple expression for the JOLS(m) estimator: the m — delete jackknifed OLS estimator. Then we compare • the accuracy of the 0( cr2) approximation to the bias and the efficiency of OLS, COLS and JOLS(m) in a Monte Carlo study of artificial but realistic models. It is found that the bias is extremely sensitive to the value of a and that COLS can reduce it considerably without undue loss of efficiency if the standard deviation of the OLS lagged dependent variable coefficient estimate has a moderate value.

Suggested Citation

  • Kiviet, Jan & Phillips, Garry, 1988. "BIAS REDUCTION IN A DYNAMIC REGRESSION MODEL: A Comparison of Jackknifed and Bias Corrected Least Squares Estimators," University of Amsterdam, Actuarial Science and Econometrics Archive 293130, University of Amsterdam, Faculty of Economics and Business.
  • Handle: RePEc:ags:amstas:293130
    DOI: 10.22004/ag.econ.293130
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    Research Methods/ Statistical Methods;

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