Additive coefficient modeling via polynomial spline

Statistica Sinica

Volumn 16, Issue 4, 2006, Pages 1423-1446

  Xue, Lan ^a   Yang, Lijian ^b  

^a OREGON STATE UNIVERSITY   (United States)

^b MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

AIC; Approximation space; BIC; German real GNP; Knot; Mean square convergence; Spline approximation

Indexed keywords

EID: 33846559323     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. Bosq, D. (1998). Nonparametric Statistics for Stochastic Processes: Estimation and Prediction. 2nd edition. Springer-Verlag, New York.
2. Cai, Z., Fan, J. and Yao, Q. W. (2000). Functional-coefficient regression models for nonlinear time series. J. Amer. Statist. Assoc. 95, 941-956.
3. Chen, R. and Tsay, R. S. (1993a). Nonlinear additive ARX models. J. Amer. Statist. Assoc. 88, 955-967.
4. Chen, R. and Tsay, R. S. (1993b). Functional-coefficient autoregressive models. J. Amer. Statist. Assoc. 88, 298-308.
5. de Boor, C. (2001). A Practical Guide to Splines. Springer, New York.
6. Devore, R. A. and Lorentz, G. G. (1993). Constructive Approximation. Springer-Verlag, Berlin Heidelberg.
7. Hastie, T. J. and Tibshirani, R. J. (1990). Generalized Additive Models. Chapman and Hall, London.
8. Hastie, T. J. and Tibshirani, R. J. (1993). Varying-coefficient models. J. Roy. Statist. Soc. Ser. B 55, 757-796.
9. Huang, J. Z. (1998a). Projection estimation in multiple regression with application to functional ANOVA models. Ann. Statist. 26, 242-272.
10. Huang, J. Z. (1998b). Functional ANOVA models for generalized regression. J. Multivariate Anal. 67, 49-71.
11. Huang, J. Z. and Shen, H. (2004). Functional coefficient regression models for non-linear time series: a polynomial spline approach. Scand. J. Statist. 31, 515-534.
12. Huang, J. Z., Wu, C. O. and Zhou, L. (2002). Varying-coefficient models and basis function approximations for the analysis of repeated measurements. Biometrika 89, 111-128.
13. Huang, J. Z., and Yang, L. (2004). Identification of nonlinear additive autoregressive models. J. Roy. Statist. Soc. Ser. B 66, 463-477.
14. Stone, C. J. (1985). Additive regression and other nonparametric models. Ann. Statist. 13, 689-705.
15. Xue, L. and Yang, L. (2006). Estimation of semiparametric additive coefficient model. J. Statist. Plann. Inference 136, 2506-2534.
16. Xue, L. and Yang, L. (2005). Additive coefficient modeling via polynomial spline, downloadable at http://www.msu.edu/~yangli/addsplinefull.pdf.