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Alternative Estimation Methods; Recursive Systems

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Econometrics

Part of the book series: Springer Study Edition ((SSE))

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Abstract

In this chapter we shall consider alternative distribution-free estimators, that is, estimators whose derivation does not depend on explicit specification of the form of the distribution of the error terms of the system. In particular, we shall consider indirect least squares and instrumental variables estimators, and in the context of the former we shall discuss, in somewhat greater detail than previously, the identification problem. Finally, we shall examine the simplifications that accrue to the estimation problem when the econometric model under consideration is recursive.

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References

  1. Basmann, R. L., “On Finite Sample Distributions of GCL Identifiability Test Statistics,” Journal of the American Statistical Association, vol. 55, 1960, pp. 650–659.

    Article  MathSciNet  MATH  Google Scholar 

  2. Basmann, R. L., “The Causal Interpretation of Nontriangular Systems of Economic Relations,” Econometrica, vol. 31, 1963, pp. 439–448.

    Article  MATH  Google Scholar 

  3. Basmann, R. L., “A Note on the Statistical Testability of ‘ Explicit Causal Chains’ against the Class of ‘ Interdependent’ Models,” Journal of the American Statistical Association, vol. 60, 1965, pp. 1080–1093.

    Article  MathSciNet  MATH  Google Scholar 

  4. Bentzel, R., and B. Hansen, “On Recursiveness and Interdependency in Economic Models,” Review of Economic Studies, vol. 22, 1955, pp. 153–168.

    Article  Google Scholar 

  5. Bergstrom, A. R., “Nonrecursive Models as Discrete Approximations to Systems of Stochastic Difference Equations,” Econometrica, vol. 34, 1966, pp. 173–182.

    Article  MathSciNet  MATH  Google Scholar 

  6. Brown, T. M., “Simultaneous Least Squares: A Distribution Free Method of Equation-System Structure Estimation,” International Economic Review, vol. 1, 1960, pp. 173–191.

    Article  Google Scholar 

  7. Cragg, J. R., “On the Sensitivity of Simultaneous Equations Estimators to the Stochastic Assumptions of the Model,” Journal of the American Statistical Association, vol. 61, 1966, pp. 136–151.

    Article  Google Scholar 

  8. Fisher, F. M., “Generalization of the Rank and Order Conditions for Identifiability,” Econometrica, vol. 27, 1959, pp. 431–447.

    Article  MathSciNet  MATH  Google Scholar 

  9. Fisher, F. M., “On the Cost of Approximate Specification in Simultaneous Equation Estimation,” Econometrica, vol. 29, 1961, pp. 139–170.

    Article  MATH  Google Scholar 

  10. Fisher, F. M., “ Uncorrelated Disturbances and Identifiability Criteria,” International Economic Review, vol. 4, 1963, pp. 134–152.

    Article  MATH  Google Scholar 

  11. Fisher, F. M., “ The Choice of Instrumental Variables in the Estimation of Economy-Wide Econometric Models,” International Economic Review, vol. 6, 1965, pp. 245–274.

    Article  MATH  Google Scholar 

  12. Fisher, F. M., The Identification Problem in Econometrics, New York, McGraw-Hill, 1966.

    Google Scholar 

  13. Fisher, F. M., “Approximate Specification and the Choice of a k-Class Estimator,” Journal of the American Statistical Association, vol. 62, 1967, pp. 1265–1276.

    Article  MathSciNet  Google Scholar 

  14. Frisch, R., Pitfalls in the Statistical Construction of Demand and Supply Curves, Veröffentlichungen der Frankfurter Gesellschaft fur Konjukturforschung, Neue Folge, Heft 5, Hans Buske, Leipzig, 1933.

    Google Scholar 

  15. Geary, R. C., “Determination of Linear Relations Between Systematic Parts of Variables with Errors of Observation, the Variances of Which are Unknown,” Econometrica, vol. 17, 1949, pp. 30–58.

    Article  MathSciNet  Google Scholar 

  16. Hurwicz, L., “Generalization of the Concept of Identification,” Chapter 6 in Statistical Inference in Dynamic Economic Models T. C. Koopmans (Ed.), New York, Wiley, 1950.

    Google Scholar 

  17. Klein, L. R., “Pitfalls in the Statistical Determination of the Investment Schedule,” Econometrica, vol. 11, 1943, pp. 243–258.

    Article  Google Scholar 

  18. Klein, L. R., A Textbook of Econometrics, Evanston, Illinois, Row Peterson, 1953.

    Google Scholar 

  19. Koopmans, T. C., “ Identification Problems in Economic Model Construction,” Chapter 2 in Studies in Econometric Methods, W. C. Hood and T. C. Koopmans, (Eds.), Cowles Foundation for Research in Economics, Monograph No. 14, New York Wiley, 1953.

    Google Scholar 

  20. Liviatan, N., “Errors in Variables and Engle Curve Analysis,” Econometrica, vol. 29, 1961, pp. 336–362.

    Article  Google Scholar 

  21. Liu, T. C., “ Underidentification, Structural Estimation and Forecasting,” Econometrica, vol. 28, 1960, pp. 855–865.

    Article  Google Scholar 

  22. Reiersol, O., “Confluence Analysis by Means of Instrumental Sets of Variables,” Arkiv fur Mathematik, Astronomi och Fysik, vol. 32, 1945.

    Google Scholar 

  23. Sargan, J. D., “The Estimation of Economic Relationships Using Instrumental Variables,” Econometrica, vol. 26, 1958, pp. 393–415.

    Article  MathSciNet  MATH  Google Scholar 

  24. Schultz, H., Theory and Measurement of Demand, Chicago, University of Chicago Press, 1938.

    Google Scholar 

  25. Simon, H., “Causal Ordering and Identifiability,” Chapter 3 in Studies in Econometric Methods, W. C. Hood and T. C. Koopmans (Eds.), Cowles Foundation for Research in Economics, Monograph No. 14, New York, Wiley, 1953.

    Google Scholar 

  26. Strotz, R. H., and H. Wold, “Recursive vs Nonrecursive Systems: An Attempt at Synthesis,” Econometrica, vol. 28, 1960, pp. 417–427.

    Article  MathSciNet  Google Scholar 

  27. Strotz, R. H., and H. Wold, “The Causal Interpretability of Structural Parameters: A Reply,” Econometrica, vol. 31, 1963, pp. 449–450.

    Article  MATH  Google Scholar 

  28. Wald, A., “Note on the Identification of Economic Relations,” in Statistical Inference in Dynamic Economic Models, T. C. Koopmans (Ed.), Cowles Foundation for Research in Economics, Monograph No. 10, New York, Wiley, 1950.

    Google Scholar 

  29. Wold, H., “Causal Inference from Observational Data: A Review of Ends and Means,” Journal of the Royal Statistical Society, Series A, vol. 119, 1956, pp. 28–61.

    Article  MathSciNet  Google Scholar 

  30. Wold, H.,“ Ends and Means in Econometric Model Building,” in Probability and Statistics: The Harald Cramer Volume, U. Grenander (Ed.), New York, Wiley, 1959.

    Google Scholar 

  31. Wold, H., “A Generalization of Causal Chain Models,” Econometrica, vol. 28, 1960, pp. 443–63.

    Article  MathSciNet  Google Scholar 

  32. Wold, H., “Forecasting by Chain Principle.” Chapter 1 in Econometric Model Building: Essays on the Causal Chain Approach, Contributions to Economic Analysis Series, Amsterdam, North Holland Publishing Co., 1964.

    Google Scholar 

  33. Working, E. J., “What do Statistical ‘Demand Curves’ Show?” Quarterly Journal of Economics, vol. 41, 1927, pp. 212–235.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Columbia University, USA

    Phoebus J. Dhrymes (Professor of Economics)

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  1. Phoebus J. Dhrymes
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© 1974 Springer-Verlag New York Inc

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Dhrymes, P.J. (1974). Alternative Estimation Methods; Recursive Systems. In: Econometrics. Springer Study Edition. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9383-2_6

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  • DOI: https://doi.org/10.1007/978-1-4613-9383-2_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90095-7

  • Online ISBN: 978-1-4613-9383-2

  • eBook Packages: Springer Book Archive

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