메뉴 건너뛰기




Volumn 98, Issue 9, 2007, Pages 1782-1804

On rates of convergence in functional linear regression

Author keywords

Functional data analysis; Penalized least squares; Periodic spline

Indexed keywords


EID: 34548839871     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2006.10.004     Document Type: Article
Times cited : (95)

References (20)
  • 2
    • 0032356568 scopus 로고    scopus 로고
    • Smoothing spline models for the analysis of nested and crossed samples of curves
    • Brumback B.A., and Rice J.A. Smoothing spline models for the analysis of nested and crossed samples of curves. J. Amer. Statist. Assoc. 93 443 (1998) 961-976
    • (1998) J. Amer. Statist. Assoc. , vol.93 , Issue.443 , pp. 961-976
    • Brumback, B.A.1    Rice, J.A.2
  • 3
    • 33847349358 scopus 로고    scopus 로고
    • Prediction in functional linear regression
    • to appear
    • Cai T., and Hall P. Prediction in functional linear regression. Ann. Statist. 34 (2006) to appear
    • (2006) Ann. Statist. , vol.34
    • Cai, T.1    Hall, P.2
  • 4
    • 0041459525 scopus 로고    scopus 로고
    • Spline estimators for the functional linear model
    • Cardot H., Ferraty F., and Sarda P. Spline estimators for the functional linear model. Statist. Sinica 13 (2003) 571-591
    • (2003) Statist. Sinica , vol.13 , pp. 571-591
    • Cardot, H.1    Ferraty, F.2    Sarda, P.3
  • 5
    • 6444240715 scopus 로고    scopus 로고
    • Estimation in generalized linear models for functional data via penalized likelihood
    • Cardot H., and Sarda P. Estimation in generalized linear models for functional data via penalized likelihood. J. Multivariate Anal. 92 (2005) 24-41
    • (2005) J. Multivariate Anal. , vol.92 , pp. 24-41
    • Cardot, H.1    Sarda, P.2
  • 7
    • 34250263445 scopus 로고
    • Smoothing noisy data with spline functions, estimating the correct degree of smoothing by the method of generalized cross-validation
    • Craven P., and Wahba G. Smoothing noisy data with spline functions, estimating the correct degree of smoothing by the method of generalized cross-validation. Numer. Math. 31 (1979) 377-403
    • (1979) Numer. Math. , vol.31 , pp. 377-403
    • Craven, P.1    Wahba, G.2
  • 8
    • 0000957849 scopus 로고
    • Asymptotic theory for the principal component analysis of a vector random function: some applications to statistical inference
    • Dauxois J., Pousse A., and Romain Y. Asymptotic theory for the principal component analysis of a vector random function: some applications to statistical inference. J. Multivariate Anal. 12 (1982) 136-154
    • (1982) J. Multivariate Anal. , vol.12 , pp. 136-154
    • Dauxois, J.1    Pousse, A.2    Romain, Y.3
  • 10
    • 0036185675 scopus 로고    scopus 로고
    • Functional mixed effects models
    • Guo W. Functional mixed effects models. Biometrics 58 (2002) 121-128
    • (2002) Biometrics , vol.58 , pp. 121-128
    • Guo, W.1
  • 11
    • 34548831781 scopus 로고    scopus 로고
    • P. Hall, J.L. Horowitz, Methodology and convergence rates for functional linear regression, 2004, Manuscript.
  • 12
    • 0001699048 scopus 로고    scopus 로고
    • Principal component models for sparse functional data
    • James G.A., Hastie T.J., and Sugar C.A. Principal component models for sparse functional data. Biometrika 87 (2000) 587-602
    • (2000) Biometrika , vol.87 , pp. 587-602
    • James, G.A.1    Hastie, T.J.2    Sugar, C.A.3
  • 13
    • 3042599037 scopus 로고    scopus 로고
    • Inequalities for spreads of matrix sums and products
    • Merikoski J.K., and Kumar R. Inequalities for spreads of matrix sums and products. Appl. Math. E-Notes 4 (2004) 150-159
    • (2004) Appl. Math. E-Notes , vol.4 , pp. 150-159
    • Merikoski, J.K.1    Kumar, R.2
  • 14
    • 19744372814 scopus 로고    scopus 로고
    • Generalized functional linear models
    • Müller H.G., and Stadtmüller U. Generalized functional linear models. Ann. Statist. 33 (2005) 774-805
    • (2005) Ann. Statist. , vol.33 , pp. 774-805
    • Müller, H.G.1    Stadtmüller, U.2
  • 17
    • 0010372996 scopus 로고
    • Integrated mean square error of a smoothing spline
    • Rice J., and Rosenblatt M. Integrated mean square error of a smoothing spline. J. Approx. Theory 33 (1981) 353-369
    • (1981) J. Approx. Theory , vol.33 , pp. 353-369
    • Rice, J.1    Rosenblatt, M.2
  • 20
    • 34548825776 scopus 로고    scopus 로고
    • J.O. Ramsay, B.W. Silverman, Functional Data Analysis, Springer, New York, 1997.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.