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Approximate Bias Correction in Econometrics

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Author Info
James G. MacKinnon
Anthony A. Smith

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Abstract

This paper discusses ways to reduce the bias of consistent estimators that are biased in finite samples. It is necessary that the bias function, which relates parameter values to bias, should be estimable by computer simulation or by some other method. If so, bias can be reduced or, in some cases that may not be unrealistic, even eliminated. In general, several evaluations of the bias function will be required to do this. Unfortunately, reducing bias may increase the variance, or even the mean squared error, of an estimator. Whether or not it does so depends on the shape of the bias functions. The techniques of the paper are illustrated by applying them to two problems: estimating the autoregressive parameter in an AR(1) model with a constant term, and estimation of a logit model.

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File URL: http://www.econ.queensu.ca/working_papers/papers/qed_wp_919.pdf
File Format: application/pdf
File Function: First version 1995
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Publisher Info
Paper provided by Queen's University, Department of Economics in its series Working Papers with number 919.

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Length: 28
Date of creation: Jan 1995
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Publication status: Published in Journal of Econometrics, 85, 1998
Handle: RePEc:qed:wpaper:919

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Related research
Keywords: bias function mean squared error simulation finite samples

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Find related papers by JEL classification:
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Kiviet, Jan F. & Phillips, Garry D. A., 1994. "Bias assessment and reduction in linear error-correction models," Journal of Econometrics, Elsevier, vol. 63(1), pages 215-243, July. [Downloadable!] (restricted)
  2. Davidson, Russell & MacKinnon, James G., 1992. "Regression-based methods for using control variates in Monte Carlo experiments," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 203-222. [Downloadable!] (restricted)
  3. Orcutt, Guy H & Winokur, Herbert S, Jr, 1969. "First Order Autoregression: Inference, Estimation, and Prediction," Econometrica, Econometric Society, vol. 37(1), pages 1-14, January. [Downloadable!] (restricted)
  4. repec:cup:etheor:v:10:y:1994:i:1:p:116-29 is not listed on IDEAS
  5. Smith, A A, Jr, 1993. "Estimating Nonlinear Time-Series Models Using Simulated Vector Autoregressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(S), pages S63-84, Suppl. De. [Downloadable!] (restricted)
  6. Sawa, Takamitsu, 1978. "The exact moments of the least squares estimator for the autoregressive model," Journal of Econometrics, Elsevier, vol. 8(2), pages 159-172, October. [Downloadable!] (restricted)
  7. Gourieroux, C & Monfort, A & Renault, E, 1993. "Indirect Inference," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(S), pages S85-118, Suppl. De. [Downloadable!] (restricted)
    Other versions:
    • Gourieroux, C. & Monfort, A. & Renault, E., 1992. "Indirect Inference," Papers 92.279, Toulouse - GREMAQ.
    • Gourieroux, C. & Monfort, A & Renault, E., 1992. "Indirect Inference," Papers 9215, Institut National de la Statistique et des Etudes Economiques-.
  8. Smith, Anthony A, Jr & Sowell, Fallaw & Zin, Stanley E, 1997. "Fractional Integration with Drift: Estimation in Small Samples," Empirical Economics, Springer, vol. 22(1), pages 103-16.
    Other versions:
  9. 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. [Downloadable!] (restricted)
  10. Mackinnon, J.G. & Smith, A.A., 1996. "Approximate Bias Correction in Econometrics," G.R.E.Q.A.M. 96a14, Universite Aix-Marseille III.
    Other versions:
  11. repec:cup:etheor:v:9:y:1993:i:1:p:62-80 is not listed on IDEAS
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Martin A. Carree, 2002. "Nearly Unbiased Estimationin Dynamic Panel Data Models," Tinbergen Institute Discussion Papers 02-008/2, Tinbergen Institute. [Downloadable!]
  2. Shawn Ni, 2007. "Excess Sensitivity in Consumption without Liquidity Constraint: Evidence from Monthly Household Panel Data," Working Papers 0714, Department of Economics, University of Missouri. [Downloadable!]
  3. Jason Dietrich, 2005. "The effects of sampling strategies on the small sample properties of the logit estimator," Journal of Applied Statistics, Taylor and Francis Journals, vol. 32(6), pages 543-554, August. [Downloadable!] (restricted)
  4. Barry Falk & Anindya Roy, 2006. "Efficiency Tradeoffs in Estimating the Linear Trend Plus Noise Model," Economics Bulletin, Economics Bulletin, vol. 3(6), pages 1-9. [Downloadable!]
  5. James G. MacKinnon, 2007. "Bootstrap Hypothesis Testing," Working Papers 1127, Queen's University, Department of Economics. [Downloadable!]
  6. Bergström, Pål, 1999. "Bootstrap Methods and Applications in Econometrics - A Brief Survey," Working Paper Series 1999:2, Uppsala University, Department of Economics. [Downloadable!]
  7. Martin A. Carree, 2002. "Nearly Unbiased Estimation in Dynamic Panel Data Models with Exogenous Variables," Tinbergen Institute Discussion Papers 02-007/2, Tinbergen Institute. [Downloadable!]
  8. Martin Browning & Jesus Carro, 2006. "Heterogeneity in dynamic discrete choice models," Economics Series Working Papers 287, University of Oxford, Department of Economics. [Downloadable!]
  9. Jan F. Kiviet & Garry D. A. Phillips, 2000. "Improved Coefficient and Variance Estimation in Stable First-Order Dynamic Regression Models," Econometric Society World Congress 2000 Contributed Papers 0631, Econometric Society. [Downloadable!]
  10. Steve Lawford & Michalis P. Stamatogiannis, 2004. "The Finite-Sample Effects of VAR Dimensions on OLS Bias, OLS Variance, and Minimum MSE Estimators: Purely Nonstationary Case," Public Policy Discussion Papers 04-05, Economics and Finance Section, School of Social Sciences, Brunel University. [Downloadable!]
    Other versions:
  11. James G. MacKinnon & Anthony A. Smith, 1995. "Approximate Bias Correction in Econometrics," Working Papers 919, Queen's University, Department of Economics. [Downloadable!]
    Other versions:
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