Abstract
Revankar (1974, p. 190, equation (4.4)) obtains a result for the covariance matrices of the “Aitken” estimators of the regression coefficients parameter matrices of two SUR models. The present note supplies a simpler derivation of this result. It is obtained by using a known result in multivariate statistical analysis, see e.g., Sarkar (1981, p. 560, Theorem 3.1).
Similar content being viewed by others
References
Govindarajalu, Z. (1975). Best linear unbiased and invariant estimators for regression parameters based on ordered observations, inApplied Statistics (Ed. R. P. Gupta) North-Holland, New York.
Lefland, P.S.H. and Praag, B.M.S. Van (1971). A procedure to estimate relative powers in binary contact and an application to Dutch football league results.Statistica Neerlandica,25, 63–84.
Revankar, N. S. (1974). Some finite sample results in the context of two seemingly unrelated regression equations.J. Amer. Statist. Asso.,69, 187–90.
Sarkar, S. K. (1981). Some multivariate linear regression testing problems with additional observations.J. Multi. Anal.,11, 556–567.
Zellner, Arnold (1962). An efficient method of estimating seemingley unrelated regressions and tests of aggregation bias.J. of Amer. Statist. Assoc.,57, 348–368.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gupta, A.K., Kabe, D.G. A note on a result for two SUR models. Statistical Papers 39, 417–421 (1998). https://doi.org/10.1007/BF02927104
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02927104