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Computational aspects of robust estimators for linear regressions

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Abstract

This paper presents estimation procedures for some robust regression methods: the Bounded-Influence estimator for both a single linear equation (Krasker and Welsch, 1982) and a linear simultaneous equation model (Krasker and Welsch, 1985); the linear version of the Huber estimator for both a single equation (Huber, 1973, 1981) and a simultaneous equations model.

The procedures are written in the RATS econometric language, which is widely available on microcomputers and mainframes.

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References

  1. Fair, R. (1984), Specification, Estimation and Analysis of Macroeconometric Models, Harvard University Press.

  2. Furno, M. (1987), Bounded-influence instrumental variables estimator: an extension, Economics Letters 25, 239–242.

    Google Scholar 

  3. Guoying Li (1983), Robust regression in Exploring Data Tables, Trends, and Shapes, D. Hoaglin, F. Mosteller and J. Tukey (Eds.), John Wiley, New York.

    Google Scholar 

  4. Huber, P. (1973), Robust regression: asymptotic, conjectures and Monte Carlo, Annals of Statistics 1(5), 799–821.

    Google Scholar 

  5. Huber, P. (1981), Robust Statistics, John Wiley, New York.

    Google Scholar 

  6. Krasker, W. (1980), Estimation in linear regression models with disparate data points, Econometrica 48(6), 1333–1346.

    Google Scholar 

  7. Krasker, W. (1986), Two-stage bounded-influence estimators, Journal of Business and Economic Statistics 4(4), 437–444.

    Google Scholar 

  8. Krasker, W. and Welsch, R. (1982), Efficient bounded-influence regression estimation, Journal of the American Statistical Association 77 (379), 595–604.

    Google Scholar 

  9. Krasker, W. and Welsch, R. (1985). Resistant estimation for simultaneous equations models using weighted instrumental variables, Econometrica 53(6), 1475–1488.

    Google Scholar 

  10. Hausman, J. (1983), Specification and estimation of simultaneous equation models in Handbook of Econometrics, vol. I, Z. Griliches and M. Intriligator (Eds.).

  11. Ruppert, D. (1985), On the bounded-influence regression estimator of Krasker and Welsch, Journal of the American Statistical Association 80(389), 205–208.

    Google Scholar 

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Furno, M., Baum, C. Computational aspects of robust estimators for linear regressions. Computer Science in Economics and Management 2, 221–237 (1989). https://doi.org/10.1007/BF00436511

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  • DOI: https://doi.org/10.1007/BF00436511

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