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The Third-Order Bias of Nonlinear Estimators

The Third-Order Bias of Nonlinear Estimators

Abstract

The third-order bias of nonlinear estimators is derived and illustrated using a variety of estimators popular in applied econometrics. A simulation using the exponential regression model indicates that the third-order analytical correction reduces bias substantially compared to higher-order bootstrap and Jackknife corrections, particularly in very small samples.
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