Necessary and sufficient conditions for consistency of A method for smoothed functional inverse regression

Statistica Sinica

Volumn 20, Issue 1, 2010, Pages 235-238

  Cook, R D ^a   Forzani, L ^b   Yao, A F ^c  

^a UNIVERSITY OF MINNESOTA   (United States)

^b UNIVERSIDAD NACIONAL DEL LITORAL   (Argentina)

^c AIX MARSEILLE UNIVERSITY   (France)

Author keywords

Dimension reduction; Functional data analysis; Inverse regression

Indexed keywords

EID: 77949406317     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. Conway, J. B. (1990). A Course in Functional Analysis. 2nd ed. Springer, New York.
2. Cook, R. D. (2007). Fisher lecture: Dimension reduction in regression. Statist. Sinica 22, 1-26.
3. Cook, R. D., Li, B. and Chiaromonte, F. (2007). Dimension reduction in regression without matrix inversion. Biometrika 94, 569-584.
4. Dauxois, J., Ferré, L. and Yao, A. (2001). Un modèle semi-paramétrique pour variables aléatoires. C. R. Acad Paris 333, 947-952.
5. Ferre, L. and Yao, A. F. (2005). Smoothed functional inverse regression. Statist. Sinica 15, 665-683.
6. Ferre, L. and Yao, A. F. (2007). Reply to the paper by Liliana Forzani and R. Dennis Cook: "A note on smoothed functional inverse regression". Statist. Sinica 17, 1683-1687.
7. Forzani, L. and Cook, R. D. (2007). A note on smoothed functional inverse regression. Statist. Sinica 17, 1677-1681.
8. Groetsch, C. W. (1977). Generalized Inverses of Linear Operators. Marcel Dekker Inc., New York.
9. Li, K. C. (1991). Sliced inverse regression for dimension reduction (with discussion). J. Amer. Statist. Assoc. 86, 316-342.
10. Shao, Y., Cook, R. D. and Weisberg, S. (2007). Marginal tests with sliced average variance estimation. Biometrika 94, 285-296.