An asymptotic result for sliced inverse regression

Computational Statistics

Volumn 11, Issue 2, 1996, Pages 113-136

  Kötter, Thomas ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

Author keywords

Dimension reduction; Inverse regression; Linear projections

Indexed keywords

EID: 0030547310     PISSN: 09434062     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. Cook, R.D.; Weisberg, S. (1991) Comments on Sliced Inverse Regression for Dimension Reduction. Journal of the American Statistical Association 86, 328-332
2. Diaconis, P.; Freedman, D. (1984) Asymptotics of Graphical Projection Pursuit. Annals of Statistics 12, No. 3, 793-815
3. Duan, N; Li, K.C. (1991) Slicing Regression: A link-free regression method. Annals of Statistics 19, No. 2, 505-530
4. Hall, P; Li, K.C. (1993) On almost linearity of low dimensional projections from high dimensional data. Annals of Statistics 21, No. 2, 867-889
5. Harrison, D., Rubinfeld, D.C. (1978) Hedonic prices and the demand for clean air. Journal of Environmental Economics and Management, 5, 81-102
6. Härdle, W., Hart, J.D. (1992) A Bootstrap Test for Positive Definiteness of Income Effect Matrices. Journal of Econometric Theory, 8, 276-290
7. Härdle, W., Klinke, S., Turlach, B.A. (1995) XploRe: An interactive computing environment Springer, 8, 276-290
8. Hsing, T.; Carroll, R.J. (1992) An Asymptotic Theory for Sliced Inverse Regression. Annals of Statistics 20, No. 2, 1040-1061
9. Kötter, T. (1990) Regression mit unbekannter Linkfunktion. Diplomarbeit, Fachbereich Statistik, Universität Dortmund
10. Li, K.C. (1991a) Sliced Inverse Regression for Dimension Reduction. Journal of the American Statistical Association 86, 316-327
11. Li, K.C. (1991b) Notes from the course MATH277-DATA ANALYSIS-Winter 1991, University of California, Los Angeles
12. Li, K.C. (1992) On principal Hessian directions for data visualization and dimension reduction: another application of Stein's lemma. Journal of the American Statistical Association 87, 1025-1039
13. Mardia, K.V., Kent, J.T., Bibby, J.M. (1979) Multivariate Analysis. Academic Press, London
14. Schott, J.R. (1994) Determing the dimensionality in Sliced Inverse Regression. Journal of the American Statistical Association 89, 141-148
15. Wilkinson, J.H. (1965) The Algebraic Eigenvalue Problem. Oxford University Press
16. XploRe 3.2 (1994) Xplore Systems Institut für Statistik und Ökonometrie, Humboldt-Universität zu Berlin
17. Zhu, L; Ng, K.W. (1993) On Asymptotic Theory of Sliced Inverse Regression Based on Weighted Method. Preprint