Semi-functional partial linear regression

Statistics and Probability Letters

Volumn 76, Issue 11, 2006, Pages 1102-1110

  Aneiros Pérez, Germán ^a   Vieu, Philippe ^b  

^a UNIVERSITY OF A CORUÑA   (Spain)

^b UNIVERSITÉ DE TOULOUSE   (France)

Author keywords

Asymptotic normality; Functional variable; Partial linear regression

Indexed keywords

EID: 33846409110     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2005.12.007     Document Type: Article

References (18)

1. Aneiros-Pérez G., González-Manteiga W., and Vieu P. Estimation and testing in a partial linear regression model under long-memory dependence. Bernoulli 10 (2004) 49-78
2. Bhattacharya P.K., and Zhao P.-L. Semiparametric inference in a partial linear model. Ann. Statist. 25 (1997) 244-262
3. Cardot H., Ferraty F., and Sarda P. Spline estimators for the functional linear model. Statist. Sinica 13 (2003) 571-591
4. Chen H. Convergence rates for parametric components in a partly linear model. Ann. Statist. 16 (1988) 136-146
5. Engle R., Granger C., Rice J., and Weiss A. Nonparametric estimates of the relation between weather and electricity sales. J. Amer. Statist. Assoc. 81 (1986) 310-320
6. Ferraty F., and Vieu P. Nonparametric models for functional data, with application in regression, time-series prediction and curve discrimination. J. Nonparametric Statist. 16 (2004) 111-125
7. Ferraty F., and Vieu P. Nonparametric functional data analysis (2006), Springer, New York in press
8. Gao J.T. The laws of the iterated logarithm of some estimates in partly linear models. Statist. Probab. Lett. 25 (1995) 153-162
9. Härdle W., Liang H., and Gao J. Partially linear models (2000), Physica-Verlag
10. Hastie T.J., and Tibshirani R.J. Generalized Additive Models (1990), Chapman & Hall, New York
11. Liang H. An application of Bernstein's inequality. Econom. Theory 15 (1999) 152
12. Liang H. Asymptotic normality of parametric part in partially linear models with measurement error in the nonparametric part. J. Statist. Plann. Inference 86 (2000) 51-62
13. Ramsay J., and Silverman B. Applied functional data analysis. Methods and case studies (2002), Springer, Berlin
14. Ramsay J., and Silverman B. Functional data analysis. second ed (2005), Springer, Berlin
15. Ritov Y., and Bickel P.J. Achieving information bounds in non and semiparametric models. Ann. Statist. 18 (1990) 925-938
16. Schick A. Root-n consistent estimation in partly linear regression models. Statist. Probab. Lett. 28 (1996) 353-358
17. Speckman P. Kernel smoothing in partial linear models. J. Roy. Statist. Soc. Ser. B 50 (1988) 413-436
18. Stout W. Almost Sure Convergence (1974), Academic Press, New York