메뉴 건너뛰기




Volumn 146, Issue 1, 2009, Pages 225-256

Theory for high-order bounds in functional principal components analysis

Author keywords

[No Author keywords available]

Indexed keywords


EID: 57549119141     PISSN: 03050041     EISSN: 14698064     Source Type: Journal    
DOI: 10.1017/S0305004108001850     Document Type: Article
Times cited : (50)

References (17)
  • 1
    • 0001789071 scopus 로고
    • Perturbation of spectral subspaces and solution of linear operator equations
    • R. BHATIA, C. DAVIS and A. MCINTOSH. Perturbation of spectral subspaces and solution of linear operator equations. Linear Algebra Appl. 52/53 (1983), 45-67.
    • (1983) Linear Algebra Appl , vol.52-53 , pp. 45-67
    • BHATIA, R.1    DAVIS, C.2    MCINTOSH, A.3
  • 2
    • 33645031454 scopus 로고
    • Propriétés des opérateurs de covariance empiriques d'un processus stationnaire hilbertien.
    • D. BOSQ. Propriétés des opérateurs de covariance empiriques d'un processus stationnaire hilbertien. C. R. Acad. Sci. Paris: Sér. I 309 (1989), 873-875.
    • (1989) C. R. Acad. Sci. Paris: Sér , vol.1 , Issue.309 , pp. 873-875
    • BOSQ, D.1
  • 3
    • 0003144972 scopus 로고
    • Modelization, nonparametric estimation and prediction for continuous time processes
    • Spetses
    • D. BOSQ. Modelization, nonparametric estimation and prediction for continuous time processes. In Non-parametric Functional Estimation and Related Topics, (Spetses, 1990).
    • (1990) Non-parametric Functional Estimation and Related Topics
    • BOSQ, D.1
  • 4
    • 57549103053 scopus 로고    scopus 로고
    • NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 335, 509-529 (Kluwer, 1991).
    • NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 335, 509-529 (Kluwer, 1991).
  • 5
    • 0013172178 scopus 로고    scopus 로고
    • Linear Processes in Function Spaces. Theory and Applications
    • Springer
    • D. BOSQ. Linear Processes in Function Spaces. Theory and Applications. Springer Lecture Notes in Statistics 149 (Springer, 2000).
    • (2000) Springer Lecture Notes in Statistics , vol.149
    • BOSQ, D.1
  • 6
    • 0038583282 scopus 로고
    • Erreur quadratique asymptotique optimale de l'estimateur non paramétrique de la régression pour des observations discrétisées d'un processus stationnaire à temps continu.
    • D. BOSQ and N. CHEZE. Erreur quadratique asymptotique optimale de l'estimateur non paramétrique de la régression pour des observations discrétisées d'un processus stationnaire à temps continu. C. R. Acad. Sci. Paris Sér. 1317 (1993), 891-894.
    • (1993) C. R. Acad. Sci. Paris Sér. 1 , vol.317 , pp. 891-894
    • BOSQ, D.1    CHEZE, N.2
  • 7
    • 0346347829 scopus 로고    scopus 로고
    • Optimal asymptotic quadratic error of nonparametric regression function estimates for a continuous-time process from sampied-data
    • D. BOSQ and N. CHEZE-PAYAUD. Optimal asymptotic quadratic error of nonparametric regression function estimates for a continuous-time process from sampied-data. Statistics 32 (1999), 229-247.
    • (1999) Statistics , vol.32 , pp. 229-247
    • BOSQ, D.1    CHEZE-PAYAUD, N.2
  • 8
    • 33847349358 scopus 로고    scopus 로고
    • Prediction in functional linear regression
    • T. CAI and P. HALL. Prediction in functional linear regression. Ann. Statist. 34 (2007), 2159-2179.
    • (2007) Ann. Statist , vol.34 , pp. 2159-2179
    • CAI, T.1    HALL, P.2
  • 10
    • 0000957849 scopus 로고
    • Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference
    • J. DAUXOIS, A. POUSSE and Y. ROMAIN. 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
  • 11
    • 33645039219 scopus 로고    scopus 로고
    • On properties of functional principal components analysis
    • P. HALL and M. HOSSEINI-NASAB. On properties of functional principal components analysis. J. R. Stat. Soc. Ser. B 68 (2006), 109-126.
    • (2006) J. R. Stat. Soc. Ser. B , vol.68 , pp. 109-126
    • HALL, P.1    HOSSEINI-NASAB, M.2
  • 12
    • 33749479351 scopus 로고    scopus 로고
    • Perturbation approach applied to the asymptotic study of random operators
    • Eds. J. Hoffmann-Joergensen, M. B. Marcus and J. A. Wellner, Birkhäuser
    • A. MAS and L. MENNETEAU. Perturbation approach applied to the asymptotic study of random operators. In High Dimensional Probability, III, Eds. J. Hoffmann-Joergensen, M. B. Marcus and J. A. Wellner, (Birkhäuser, 2003), 127-134.
    • (2003) High Dimensional Probability, III , pp. 127-134
    • MAS, A.1    MENNETEAU, L.2
  • 15
    • 0001597980 scopus 로고
    • Estimating the mean and covariance structure nonparametrically when the data are curves
    • J. A. RICE and B. W. SILVERMAN. Estimating the mean and covariance structure nonparametrically when the data are curves. J. Roy. Statist. Soc. Ser. B 53 (1991), 233-243.
    • (1991) J. Roy. Statist. Soc. Ser. B , vol.53 , pp. 233-243
    • RICE, J.A.1    SILVERMAN, B.W.2
  • 16
    • 0000858773 scopus 로고
    • Incorporating parametric effects into functional principal components analysis
    • B. W. SILVERMAN. Incorporating parametric effects into functional principal components analysis. J. Roy. Statist. Soc. Ser. B 57 (1995), 673-689.
    • (1995) J. Roy. Statist. Soc. Ser. B , vol.57 , pp. 673-689
    • SILVERMAN, B.W.1
  • 17
    • 0030537857 scopus 로고    scopus 로고
    • Smoothed functional principal components analysis by choice of norm
    • B. W. SILVERMAN. Smoothed functional principal components analysis by choice of norm. J. Ann. Statist. 24 (1996), 1-24.
    • (1996) J. Ann. Statist , vol.24 , pp. 1-24
    • SILVERMAN, B.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.