Rank estimation in reduced-rank regression

Journal of Multivariate Analysis

Volumn 87, Issue 1, 2003, Pages 159-176

  Bura, Efstathia ^a   Cook, R Dennis ^b  

^a GEORGE WASHINGTON UNIVERSITY   (United States)

^b UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Asymptotic test; Chi squared; Weighted chi squared

Indexed keywords

EID: 0142010575     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0047-259X(03)00029-0     Document Type: Article

References (21)

1. T.W. Anderson, Estimating linear restrictions on regression coefficients for multivariate normal distributions, Ann. Math. Statist. 22 (1951) 327-351.
2. T.W. Anderson, Asymptotic distribution of the reduced rank regression estimator under general conditions, Ann. Statist. 22 (1999) 327-351.
3. T.W. Anderson, Asymptotic theory for canonical correlation analysis, J. Multivariate Anal. 70 (1999) 1-29.
4. T.W. Anderson, H. Rubin, Statistical inference in factor analysis, in: J. Neyman (Ed.), Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, Berkeley, 1956, pp. 111-150.
5. M.S. Bartlett, Multivariate analysis, J. Roy. Statist. Soc. Ser. B 9 (1947) 176-197.
6. P. Billingsley, Probability and Measure, Wiley, New York, 1986.
7. H. Bunke, O. Bunke (Eds.), Statistical Inference in Linear Models. Statistical Methods of Model Building, Vol. I, Wiley, Chichester, 1986.
8. E. Bura, Dimension reduction via inverse regression, Ph.D. Dissertation, University of Minnesota, June 1996.
9. R.D. Cook, Regression Graphics: Ideas for Studying Regressions through Graphics, Wiley, New York, 1998.
10. M.L. Eaton, D.E. Tyler, The asymptotic distribution of singular values with applications to canonical correlations and correspondence analysis, J. Mult. Anal. 34 (1994) 439-446.
11. R.T. Fouladi, Type I error control of some covariance structure analysis technique under conditions of multivariate non-normality, Comput. Sci. Statist. 29 (1997) 526-532.
12. I.E. Frank, J.H. Friedman, A statistical view of some chemometrics regression tools (with discussion), Technometrics 35 (1993) 109-148.
13. D.A. Harville, Matrix Algebra From a Statistician's Perspective, Springer, New York, 1997.
14. A.J. Izenman, Reduced-rank regression for the multivariate linear model, J. Multivariate Anal. 5 (1975) 248-264.
15. C.R. Rao, Linear Statistical Inference and Its Applications, Wiley, New York, 1965.
16. G.C. Reinsel, R.P. Velu, Multivariate Reduced-Rank Regression: Theory and Applications, Lecture Notes in Statistics, Springer, New York, 1998.
17. F.E. Satterthwaite, Synthesis of variance, Psychometrika 6 (1941) 309-316.
18. G.A.F. Seber, Linear Regression Analysis, Wiley, New York, 1977.
19. H. Schmidli, Reduced-rank Regression, Physica, Berlin, 1996.
20. R.P. Velu, G.C. Reinsel, D.W. Wichern, Reduced rank models for multiple time series, Biometrika 73 (1986) 105-118.
21. G. Zhou, Small sample rank tests with applications to asset pricing, J. Empirical Finance 2 (1995) 71-93.