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Bias Correction and Out-of-Sample Forecast Accuracy

  • Kim, Hyeongwoo
  • Durmaz, Nazif

The least squares (LS) estimator suffers from signicant downward bias in autoregressive models that include an intercept. By construction, the LS estimator yields the best in-sample fit among a class of linear estimators notwithstanding its bias. Then, why do we need to correct for the bias? To answer this question, we evaluate the usefulness of the two popular bias correction methods, proposed by Hansen (1999) and So and Shin (1999), by comparing their out-of-sample forecast performances with that of the LS estimator. We find that bias-corrected estimators overall outperform the LS estimator. Especially, Hansen's grid bootstrap estimator combined with a rolling window method performs the best.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 16780.

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Date of creation: May 2009
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Handle: RePEc:pra:mprapa:16780
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  1. Andrews, Donald W K, 1993. "Exactly Median-Unbiased Estimation of First Order Autoregressive/Unit Root Models," Econometrica, Econometric Society, vol. 61(1), pages 139-65, January.
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  8. So, Beong Soo & Shin, Dong Wan, 1999. "Recursive mean adjustment in time-series inferences," Statistics & Probability Letters, Elsevier, vol. 43(1), pages 65-73, May.
  9. Menelaos Karananos & S.H Sekioua & N Zeng, 2005. "On the order of integration of monthly US ex-ante and ex-post real interest rates new evidence from over a century of data," Money Macro and Finance (MMF) Research Group Conference 2005 21, Money Macro and Finance Research Group.
  10. Serena Ng & Pierre Perron, 1997. "Lag Length Selection and the Construction of Unit Root Tests with Good Size and Power," Boston College Working Papers in Economics 369, Boston College Department of Economics, revised 01 Sep 2000.
  11. Kim, Hyeongwoo & Moh, Young-Kyu, 2010. "Examining the Evidence of Purchasing Power Parity by Recursive Mean Adjustment," MPRA Paper 22712, University Library of Munich, Germany.
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  13. Hyeongwoo Kim & Masao Ogaki, 2011. "Purchasing Power Parity and the Taylor Rule," Auburn Economics Working Paper Series auwp2011-02, Department of Economics, Auburn University.
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  16. Jon Steinsson, 2005. "The Dynamic Behavior of the Real Exchange Rate in Sticky Price Models," Economics wp28_jonst, Department of Economics, Central bank of Iceland.
  17. Alan M. Taylor, 2000. "Potential Pitfalls for the Purchasing-Power-Parity Puzzle? Sampling and Specification Biases in Mean-Reversion Tests of the Law of One Price," NBER Working Papers 7577, National Bureau of Economic Research, Inc.
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  23. Kim, Hyeongwoo & Stern, Liliana V. & Stern, Michael L., 2010. "Half-life bias correction and the G7 stock markets," Economics Letters, Elsevier, vol. 109(1), pages 1-3, October.
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