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Fully restricted linear regression: A pedagogical note

Author

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  • Harry Haupt

    (University of Regensburg)

  • Walter Oberhofer

    (University of Regensburg)

Abstract

This paper presents a comprehensive approach to estimation and hypothesis testing under a set of full restrictions, some of these arising from adding-up conditions on the endogenous variable. In contrast to the existing statistical literature, this paper uses an argumentation style familiar from classical econometric textbooks, to provide an insightful, straightforward, and nevertheless rigorous exposition of this topic.

Suggested Citation

  • Harry Haupt & Walter Oberhofer, 2002. "Fully restricted linear regression: A pedagogical note," Economics Bulletin, AccessEcon, vol. 3(1), pages 1-7.
    • Handle: RePEc:ebl:ecbull:eb-01c10005
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    File URL: http://www.accessecon.com/pubs/EB/2002/Volume3/EB-01C10005A.pdf
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    References listed on IDEAS

    as
    1. Harry Haupt & Walter Oberhofer, 2000. "Estimation of Constrained Singular Seemingly Unrelated Regression Models," Econometric Society World Congress 2000 Contributed Papers 0398, Econometric Society.
    2. Rao, C. Radhakrishna, 1973. "Representations of best linear unbiased estimators in the Gauss-Markoff model with a singular dispersion matrix," Journal of Multivariate Analysis, Elsevier, vol. 3(3), pages 276-292, September.
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    Cited by:

    1. Haupt, Harry & Oberhofer, Walter, 2006. "Generalized adding-up in systems of regression equations," Economics Letters, Elsevier, vol. 92(2), pages 263-269, August.
    2. Yongge Tian & M. Beisiegel & E. Dagenais & C. Haines, 2008. "On the natural restrictions in the singular Gauss–Markov model," Statistical Papers, Springer, vol. 49(3), pages 553-564, July.
    3. Haupt, Harry & Oberhofer, Walter, 2006. "Best affine unbiased representations of the fully restricted general Gauss-Markov model," Journal of Multivariate Analysis, Elsevier, vol. 97(3), pages 759-764, March.
    4. Yuqin Sun & Rong Ke & Yongge Tian, 2014. "Some overall properties of seemingly unrelated regression models," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 98(2), pages 103-120, April.
    5. Tian, Yongge & Jiang, Bo, 2016. "Equalities for estimators of partial parameters under linear model with restrictions," Journal of Multivariate Analysis, Elsevier, vol. 143(C), pages 299-313.
    6. repec:ebl:ecbull:v:3:y:2005:i:54:p:1-3 is not listed on IDEAS
    7. Harry Haupt & Walter Oberhofer, 2005. "On autoregressive errors in singular systems of equations," Economics Bulletin, AccessEcon, vol. 3(54), pages 1-3.
    8. Kunkler, Michael, 2023. "Multilateral exchange rates: A multivariate regression framework," Journal of Economics and Business, Elsevier, vol. 125.
    9. Yongge Tian, 2010. "On equalities of estimations of parametric functions under a general linear model and its restricted models," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 72(3), pages 313-330, November.
    10. Ren, Xingwei, 2014. "On the equivalence of the BLUEs under a general linear model and its restricted and stochastically restricted models," Statistics & Probability Letters, Elsevier, vol. 90(C), pages 1-10.
    11. Ren, Xingwei, 2016. "Estimation in singular linear models with stepwise inclusion of linear restrictions," Journal of Multivariate Analysis, Elsevier, vol. 148(C), pages 60-72.

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    More about this item

    Keywords

    Restricted least squares Adding-up Singularity Wald-Test SUR.;

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

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