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Median regression for SUR models with the same explanatory variables in each equation

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  • Ghazi Shukur
  • Zangin Zeebari

Abstract

In this paper we introduce an interesting feature of the generalized least absolute deviations method for seemingly unrelated regression equations (SURE) models. Contrary to the collapse of generalized leasts-quares parameter estimations of SURE models to the ordinary least-squares estimations of the individual equations when the same regressors are common between all equations, the estimations of the proposed methodology are not identical to the least absolute deviations estimations of the individual equations. This is important since contrary to the least-squares methods, one can take advantage of efficiency gain due to cross-equation correlations even if the system includes the same regressors in each equation.

Suggested Citation

  • Ghazi Shukur & Zangin Zeebari, 2012. "Median regression for SUR models with the same explanatory variables in each equation," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(8), pages 1765-1779, April.
  • Handle: RePEc:taf:japsta:v:39:y:2012:i:8:p:1765-1779
    DOI: 10.1080/02664763.2012.682566
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    1. 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.
    2. 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.
    3. 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.
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