On Sampling Distribution of Improved Estimators for Coefficients in Seemingly Unrelated Regression SUR Models

Authors

  • A. M. A. Fattah Assistant Lecturer, Department of Applied Statistics and Econometrics, Cairo University, Giza-5, Egypt
  • E. A. Rady Professor, Department of Applied Statistics and Econometrics, Cairo University, Giza-5, Egypt

Keywords:

Seemingly unrelated regression models, K-Class estimators, Non Central Chi-Square distribution, Exact Bias.

Abstract

The main objective of this study is to estimate the parameters of the SUR models. A new family of biased estimators, called k-class that has the same asymptotic normal distribution as the Aitken generalized least squares (GLS) with the assumption that the covariance matrix is known. The exact bias have been studied and derived.

References

C. Stein, 'Inadmissibility of the Usual Estimator for the Mean of a Multivariate Normal Distribution', in Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, 1956, pp. 197-206.

W. James and C. Stein, 'Estimation with Quadratic Loss', in Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, 1961, pp. 361-379.

H. Theil, Principles of econometrics. New York: Wiley, 1971.

A. Zellner, 'An Efficient Method of Estimating Seemingly Unrelated Regressions and Tests for Aggregation Bias', Journal of the American Statistical Association, vol. 57, no. 298, pp. 348-368, 1962.

A. Zellner, 'Estimators for Seemingly Unrelated Regression Equations: Some Exact Finite Sample Results', Journal of the American Statistical Association, vol. 58, no. 304, pp. 977-992, 1963.

L. Slater, Confluent hypergeometric functions. Cambridge [England]: University Press, 1960.

A. Mathai and S. Provost, Quadratic forms in random variables. New York: M. Dekker, 1992.

M. Srivastava and C. Khatri, An introduction to multivariate statistics. New York: North-Holland/New York, 1979.

A. Ullah, Finite sample econometrics. Oxford: Oxford University Press, 2004.

C. Rao, Linear statistical inference and its applications. New York: Wiley, 1965.

A. Ullah, 'On the sampling distribution of improved estimators for coefficients in linear regression', Journal of Econometrics, vol. 2, no. 2, pp. 143-150, 1974.

A. Ullah and S. Ullah, 'Double k-Class Estimators of Coefficients in Linear Regression', Econometrica, vol. 46, no. 3, p. 705, 1978.

R. Carter, M. Srivastava, V. Srivastava and A. Ullah, 'Unbiased Estimation of the MSE Matrix of Stein-Rule Estimators, Confidence Ellipsoids, and Hypothesis Testing', Econometric Theory, vol. 6, no. 01, p. 63, 1990.

M. Srivastava and E. Carter, An introduction to applied multivariate statistics. New York: North Holland, 1983.

Downloads

Published

2016-04-14

How to Cite

Fattah, A. M. A., & Rady, E. A. (2016). On Sampling Distribution of Improved Estimators for Coefficients in Seemingly Unrelated Regression SUR Models. International Journal of Sciences: Basic and Applied Research (IJSBAR), 26(2), 94–103. Retrieved from https://gssrr.org/index.php/JournalOfBasicAndApplied/article/view/3889

Issue

Section

Articles