Efficiency properties of feasible generalized least squares estimators in SURE models under non-normal disturbances

Abstract This paper considers Zellner's two estimators in a seemingly unrelated regression equations (SURE) model. Efficiency properties of the two estimators are analyzed by asymptotic expansions and Monte Carlo experiments under non-normal disturbances. It is shown that the two estimators have the same efficiency up to the second-order terms of O(T − 1 2 ) , and that non-normality influences the rate of convergency to normality of the estimators.

[1]  T. Kariya,et al.  A method for approximations to the pdf'S and cdf'S of GLSE's and its application to the seemingly unrelated regression model , 1982 .

[2]  J. Boot,et al.  Investment Demand: An Empirical Contribution to the Aggregation Problem , 1960 .

[3]  M. Taniguchi Third order asymptotic properties of maximum likelihood estimators for gaussian ARMA processes , 1986 .

[4]  V. K. Srivastava,et al.  The existence of the mean of the estimator in seemingly unrelated regressions , 1979 .

[5]  A. Zellner Estimators for Seemingly Unrelated Regression Equations: Some Exact Finite Sample Results , 1963 .

[6]  K. Maekawa EFFECTS OF NON-ORTHOGONAL REGRESSORS ON THE DISTRIBUTION OF SEEMINGLY UNRELATED REGRESSION ESTIMATOR , 1983 .

[7]  K. Takeuchi,et al.  Asymptotic efficiency of statistical estimators : concepts and higher order asymptotic efficiency , 1981 .

[8]  V. K. Srivastava,et al.  Large-sample approximations in seemingly unrelated regression equations , 1978 .

[9]  A. Zellner An Efficient Method of Estimating Seemingly Unrelated Regressions and Tests for Aggregation Bias , 1962 .

[10]  V. K. Srivastava The efficiency of estimating seemingly unrelated regression equations , 1970 .

[11]  N. L. Johnson,et al.  Systems of frequency curves generated by methods of translation. , 1949, Biometrika.

[12]  P. Phillips An approximation to the finite sample distribution of Zellner's seemingly unrelated regression estimator , 1977 .

[13]  V. K. Srivastava,et al.  Seemingly unrelated regression equations models : estimation and inference , 1987 .

[14]  N. Kakwani The Unbiasedness of Zellner's Seemingly Unrelated Regression Equations Estimators , 1967 .