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Efficient Estimation: The Rao‐Zyskind Condition, Kruskal's Theorem and Ordinary Least Squares

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  • MICHAEL McALEER

Abstract

The paper emphasizes the practicability and accessibility of the necessary and sufficient condition for ordinary least squares to yield best linear unbiased estimators in several problems that are available in econometrics Two convenient equivalent alternative forms of the condition are presented It is shown that the condition is useful for analyzing different problems and is especially relevant for pedagogical purposes Several practical economic examples are presented

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  • 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.
    • Handle: RePEc:bla:ecorec:v:68:y:1992:i:1:p:65-72
    DOI: 10.1111/j.1475-4932.1992.tb01750.x
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    References listed on IDEAS

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    1. Barro, Robert J, 1977. "Unanticipated Money Growth and Unemployment in the United States," American Economic Review, American Economic Association, vol. 67(2), pages 101-115, March.
    2. McAleer, Michael & McKenzie, C R, 1991. "Keynesian and New Classical Models of Unemployment Revisited," Economic Journal, Royal Economic Society, vol. 101(406), pages 359-381, May.
    3. Adrian Pagan, 1986. "Two Stage and Related Estimators and Their Applications," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(4), pages 517-538.
    4. Gourieroux, Christian & Monfort, Alain, 1980. "Sufficient Linear Structures: Econometric Applications," Econometrica, Econometric Society, vol. 48(5), pages 1083-1097, July.
    5. Pagan, Adrian, 1984. "Econometric Issues in the Analysis of Regressions with Generated Regressors," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(1), pages 221-247, February.
    6. Mishkin, Frederic S, 1982. "Does Anticipated Monetary Policy Matter? An Econometric Investigation," Journal of Political Economy, University of Chicago Press, vol. 90(1), pages 22-51, February.
    7. Baltagi, Badi H., 1989. "Applications of a necessary and sufficient condition for OLS to be BLUE," Statistics & Probability Letters, Elsevier, vol. 8(5), pages 457-461, October.
    8. Riddell, William Craig, 1979. "The Empirical Foundations of the Phillips Curve: Evidence from Canadian Wage Contract Data," Econometrica, Econometric Society, vol. 47(1), pages 1-24, January.
    9. 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.
    10. 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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    Cited by:

    1. Chang, Chia-Lin & Franses, Philip Hans & McAleer, Michael, 2013. "Are forecast updates progressive?," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 93(C), pages 9-18.
    2. Chang, C-L. & McAleer, M.J. & Franses, Ph.H.B.F., 2010. "Combining Non-Replicable Forecasts," Econometric Institute Research Papers EI 2010-44, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    3. Franses, Ph.H.B.F. & McAleer, M.J. & Legerstee, R., 2010. "Evaluating Macroeconomic Forecast: A Review of Some Recent Developments," Econometric Institute Research Papers EI 2010-19, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    4. Chang, Chia-Lin & Franses, Philip Hans & McAleer, Michael, 2011. "How accurate are government forecasts of economic fundamentals? The case of Taiwan," International Journal of Forecasting, Elsevier, vol. 27(4), pages 1066-1075, October.
    5. 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.

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