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Une condition d’invariance du modèle de régression à coefficients aléatoires

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  • Fisher, Gordon

    (Université Concordia)

Abstract

This paper develops an invariance condition for the random coefficients regression (RCR) model and thereby: (i) exends the results originally proposed by Rao (1965, 1967); (ii) provides a new proof of the equality of the direct and two-step estimators of the RCR model; and (iii) corrects a result claimed in McAleer (1992) for mixed models. Cet article développe une condition d’invariance du modèle de régression à coefficients aléatoires (RCA) et de cette façon permet : (i) d’étendre les résultats de Rao (1963, 1967)”; (ii) de fournir une nouvelle démonstration de l’égalité des estimateurs des moindres carrés généralisés directs et ceux en deux étapes du modèle RCA”; et (iii) de rectifier une proposition de McAleer (1992) pour les modèles mixtes.

Suggested Citation

  • Fisher, Gordon, 2004. "Une condition d’invariance du modèle de régression à coefficients aléatoires," L'Actualité Economique, Société Canadienne de Science Economique, vol. 80(2), pages 405-419, Juin-Sept.
  • Handle: RePEc:ris:actuec:v:80:y:2004:i:2:p:405-419
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    3. BALESTRA, Pietro, 1970. "On the efficiency of ordinary least-squares in regression models," LIDAM Reprints CORE 71, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Kapteyn, Arie & Fiebig, Denzil G., 1981. "When are two-stage and three-stage least squares estimators identical?," Economics Letters, Elsevier, vol. 8(1), pages 53-57.
    5. Kloek, T, 1981. "OLS Estimation in a Model Where a Microvariable Is Explained by Aggregates and Contemporaneous Disturbances Are Equicorrelated," Econometrica, Econometric Society, vol. 49(1), pages 205-207, January.
    6. repec:bla:ecorec:v:68:y:1992:i:200:p:65-72 is not listed on IDEAS
    7. MICHAEL McALEER, 1992. "Efficient Estimation: The Rao‐Zyskind Condition, Kruskal's Theorem and Ordinary Least Squares," The Economic Record, The Economic Society of Australia, vol. 68(1), pages 65-72, March.
    8. Dwivedi, T. D. & Srivastava, V. K., 1978. "Optimality of least squares in the seemingly unrelated regression equation model," Journal of Econometrics, Elsevier, vol. 7(3), pages 391-395, April.
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