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On the Least Absolute Deviations Method for Ridge Estimation of SURE Models

Author

Listed:
  • Zeebari, Zangin

    (Department of Economics, Finance and Statistics)

  • Shukur, Ghazi

    (Department of Economics, Finance and Statistics)

Abstract

This paper examines the application of the Least Absolute Deviations (LAD) method for ridge-type parameter estimation of Seemingly Unrelated Regression Equations (SURE) models. The methodology is aimed to deal with the SURE models with non-Gaussian error terms and highly collinear predictors in each equation. Some biasing parameters used in the literature are taken and the efficiency of both Least Squares (LS) ridge estimation and the LAD ridge estimation of the SURE models, through the Mean Squared Error (MSE) of parameter estimators, is evaluated.

Suggested Citation

  • Zeebari, Zangin & Shukur, Ghazi, 2012. "On the Least Absolute Deviations Method for Ridge Estimation of SURE Models," HUI Working Papers 69, HUI Research.
    • Handle: RePEc:hhs:huiwps:0069
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    References listed on IDEAS

    as
    1. Ekberg, Jan & Hammarstedt, Mats & Shukur, Ghazi, 2007. "SUR estimation of earnings differentials between three generations of immigrants and natives," CAFO Working Papers 2007:7, Linnaeus University, Centre for Labour Market Policy Research (CAFO), School of Business and Economics.
    2. Koenker, Roger & Bassett, Gilbert, Jr, 1982. "Robust Tests for Heteroscedasticity Based on Regression Quantiles," Econometrica, Econometric Society, vol. 50(1), pages 43-61, January.
    3. Chib, Siddhartha & Greenberg, Edward, 1995. "Hierarchical analysis of SUR models with extensions to correlated serial errors and time-varying parameter models," Journal of Econometrics, Elsevier, vol. 68(2), pages 339-360, August.
    4. Shukur, Ghazi & Zeebari, Zangin, 2011. "On the median regression for SURE models with applications to 3-generation immigrants data in Sweden," Economic Modelling, Elsevier, vol. 28(6), pages 2566-2578.
    5. Adelchi Azzalini & Antonella Capitanio, 2003. "Distributions generated by perturbation of symmetry with emphasis on a multivariate skew t‐distribution," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 65(2), pages 367-389, May.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    SURE Models; LAD Estimation; Ridge Regression; Efficiency; Robustness;
    All these keywords.

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models

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