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Two-stage and three-stage least squares estimation of dispersion matrix of disturbances in simulataneous equations

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References

  1. Anderson, T. W. (1958).An Introduction to Multivariate Statistical Analysis, John Wiley & Sons, Inc., New York.

    MATH  Google Scholar 

  2. Brown, G. F., Ramage, J. G. and Srivastava, V. K. (1972). Disturbance variance estimation in simultaneous equations systems,Technical Report 68, Department of Statistics, Carnegie-Mellon University, Pittsburgh, Pennsylvania, 1–87.

    Google Scholar 

  3. Cramér, H. (1964).Mathematical Methods of Statistics Princeton University Press, Princeton.

    Google Scholar 

  4. Goldberger, A. S. (1964).Econometric Theory, John Wiley & Sons, Inc., New York.

    MATH  Google Scholar 

  5. Mann, H. B. and Wald, A. (1943). On stochastic limit and order relationships,Ann. Math. Statist.,14, 217–226.

    MathSciNet  Google Scholar 

  6. Nagar, A. L. (1961). A note on the residual variance estimation in simultaneous equations,Econometrica,29, 238–243.

    Article  MathSciNet  Google Scholar 

  7. Rao, C. R. (1965).Linear Statistical Inference and its Applications, John Wiley & Sons, Inc., New York.

    MATH  Google Scholar 

  8. Roy, A. R. and Srivastava, V. K. (1972). The bias of generalized doublek-class estimators,Ann. Inst. Statist. Math.,24 495–508.

    Article  MathSciNet  Google Scholar 

  9. Srivastava, V. K. (1970) The bias of three-stage least squares estimator of variance-covariance matrix of disturbances in a simultaneous linear stochastic equation model, unpublished manuscript.

  10. Srivastava, V. K. (1970). The efficiency of estimating seemingly unrelated regression equations,Ann. Inst. Statist. Math.,22, 483–493.

    Article  MathSciNet  Google Scholar 

  11. Srivastava, V. K. (1971) Three-stage least-squares and generalized doublek-class: A mathematical relationship,Int. Econ. Rev.,12, 312–316.

    Article  Google Scholar 

  12. Srivastava, V. K. (1971). Disturbance variance estimation in simultaneous equations byk-class method,Ann. Inst. Statist. Math.,23, 437–449.

    Article  MathSciNet  Google Scholar 

  13. Srivastava, V. K. (1972). Disturbance variance estimation in simultaneous equations when disturbances are small,J. Amer. Statist. Ass.,67, 164–168.

    Article  Google Scholar 

  14. Srivastava, V. K. (1973). The efficiency of an improved method of estimating seemingly unrelated regression equations,Journal of Econometrics,1, 341–350.

    Article  Google Scholar 

  15. Zellner, A. and Theil, H. (1962). Three-stage least squares: Simultaneous estimation of simultaneous equations,Econometrica,30, 54–78.

    Article  MathSciNet  Google Scholar 

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Srivastava, V.K., Tiwari, R. Two-stage and three-stage least squares estimation of dispersion matrix of disturbances in simulataneous equations. Ann Inst Stat Math 28, 411–428 (1976). https://doi.org/10.1007/BF02504759

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