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Econometric applications of high-breakdown robust regression techniques

Author

Listed:
  • Zaman, Asad
  • Rousseeuw, Peter J.
  • Orhan, Mehmet

Abstract

A literature search shows that robust regression techniques are rarely used in applied econometrics. We present a technique based on Rousseeuw and Van Zomeren [Journal of the American Statistical Association, 85 (1990) 633–639] that removes many of the difficulties in applying such techniques to economic data. We demonstrate the value of these techniques by re-analyzing three OLS-based regressions from the literature.

Suggested Citation

  • Zaman, Asad & Rousseeuw, Peter J. & Orhan, Mehmet, 2000. "Econometric applications of high-breakdown robust regression techniques," MPRA Paper 41529, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:41529
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    References listed on IDEAS

    as
    1. Benderly, Jason & Zwick, Burton, 1985. "Inflation, Real Balances, Output, and Real Stock Returns [Stock Returns, Real Activity, Inflation, and Money]," American Economic Review, American Economic Association, vol. 75(5), pages 1115-1123, December.
    2. J. Bradford De Long & Lawrence H. Summers, 1991. "Equipment Investment and Economic Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 106(2), pages 445-502.
    3. N. Gregory Mankiw & David Romer & David N. Weil, 1992. "A Contribution to the Empirics of Economic Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 107(2), pages 407-437.
    4. Krasker, William S. & Kuh, Edwin & Welsch, Roy E., 1983. "Estimation for dirty data and flawed models," Handbook of Econometrics,in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 1, chapter 11, pages 651-698 Elsevier.
    5. Walter Nonneman & Patrick Vanhoudt, 1996. "A Further Augmentation of the Solow Model and the Empirics of Economic Growth for OECD Countries," The Quarterly Journal of Economics, Oxford University Press, vol. 111(3), pages 943-953.
    6. Rousseeuw, Peter J. & Wagner, Joachim, 1994. "Robust regression with a distributed intercept using least median of squares," Computational Statistics & Data Analysis, Elsevier, vol. 17(1), pages 65-76, January.
    7. Knez, Peter J & Ready, Mark J, 1997. " On the Robustness of Size and Book-to-Market in Cross-Sectional Regressions," Journal of Finance, American Finance Association, vol. 52(4), pages 1355-1382, September.
    8. NONNEMAN, Walter & VANHOUDT, Patrick, 1995. "A further augmentation of the Solow model and the empirics of economic growth for OECD countries," SESO Working Papers 1995005, University of Antwerp, Faculty of Applied Economics.
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    More about this item

    Keywords

    High breakdown estimates; Masking; Robust regression; Outlier; Leverage point; Least trimmed squares (LTS); Minimum covariance determinant (MCD);

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics

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