MSEM dominance of estimators in two seemingly unrelated regressions

Journal of Statistical Planning and Inference

Volumn 88, Issue 2, 2000, Pages 255-266

  Liu, Jinshan ^a  

^a Wuyi University   (China)

Author keywords

62F11; 62J05; Mean square error matrix criterion; Primary: 62F10; Secondary: 62H12; Seemingly unrelated regressions; Two stage estimate* Pre test estimate

Indexed keywords

EID: 0038703440     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(00)00082-3     Document Type: Article

References (17)

1. Baksalary J., Liski E.P., Trenkler G. Mean square error matrix improvements and admissibility of linear estimators. J. Statist. Plann. Inference. 23:1989;313-325.
2. Baksalary J.K., Kala R. Partial orderings between matrices one of which is of rank one. Bull. Polish Acad. Sci. Math. 31:1983;5-7.
3. Chen C.H. Optimality of two-stage estimators of seemingly unrelated regression equations. Chinese J. Appl. Probab. Statist. 2:1986;112-119.
4. Graybill T.A. Theory and Application of Linear Model. 1976;Duxbury Press, North Scituate, MA.
5. Han C.P. NFD: Noncentral F distribution. Amer. Statist. 39:1985;211.
6. Kmenta J., Gilbert R.F. Small sample properties of alternative estimators of seemingly unrelated regressions. J. Amer. Statist. Assoc. 63:1968;1180-1200.
7. Lin C.T. Two-stage estimators in a class of seemingly unrelated regressions. Chinese Sci. Bull. 14:1984;840-842.
8. Liu J.S. An efficient procedure for estimating seemingly unrelated regressions. Chinese Sci. Bull. 13:1991;1062-1064.
9. Mehta J.S., Swamy P.A.V.B. Further evidence on the relative efficiencies of Zellner's seemingly unrelated regressions estimator. J. Amer. Statist. Assoc. 71:1976;634-639.
10. Muirhead R.J. Aspects of Multivariate Statistical Theory. 1982;Wiley, New York.
11. Revankar N.S. Some finite sample results in the context of two seemingly unrelated regression equations. J. Amer. Statist. Assoc. 69:1974;187-190.
12. Theobald C.M. Generalizations of mean square error applied to ridge regression. J. Roy. Statist. Soc. Ser. B. 36:1974;103-106.
13. Trenkler G. Mean square error matrix comparisons of estimators in linear regression. Comm. Statist. Ser. A. 14:1985;2495-2509.
14. Wang S.G. A new estimate of regression coefficients in seemingly unrelated regression system. Sci. China Ser. A. 32(7):1989;808-816.
15. Wang S.G., Chow S.C. Advanced Linear Models. 1994;Marcel Dekker, New York.
16. Zellner A. An efficient method of estimating seemingly unrelated regressions and test of aggregation bias. J. Amer. Statist. Assoc. 57:1962;348-368.
17. Zellner A. Estimators of seemingly unrelated regressions: some exact finite sample results. J. Amer. Statist. Assoc. 58:1963;977-992.