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Volumn 13, Issue 4, 2007, Pages 1179-1194

The delta method for analytic functions of random operators with application to functional data

Author keywords

Delta method for analytic functions of covariance operators; Perturbation theory; Regularization of operators; Regularized functional canonical correlation and variates; Weak convergence

Indexed keywords


EID: 47249112053     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.3150/07-BEJ6180     Document Type: Article
Times cited : (21)

References (21)
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  • 4
    • 47249121512 scopus 로고    scopus 로고
    • Some properties of canonical correlations and variates in infinite dimensions
    • To appear
    • Cupidon, J., Eubank, R., Gilliam, D. and Ruymgaart, F. (2006). Some properties of canonical correlations and variates in infinite dimensions. J. Multivariate Anal. To appear.
    • (2006) J. Multivariate Anal
    • Cupidon, J.1    Eubank, R.2    Gilliam, D.3    Ruymgaart, F.4
  • 5
    • 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. (1982). Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference. J. Multivariate Anal. 12 136-154.
    • (1982) J. Multivariate Anal , vol.12 , pp. 136-154
    • Dauxois, J.1    Pousse, A.2    Romain, Y.3
  • 8
    • 47249116353 scopus 로고    scopus 로고
    • Gilliam. D., Hohage, T., Ji, X. and Ruymgaart, F. (2007). Fréchet-derivatives of analytic functions of compact operators and applications. Technical report, Dept. Mathematics and Statistics, Texas Tech Univ.
    • Gilliam. D., Hohage, T., Ji, X. and Ruymgaart, F. (2007). Fréchet-derivatives of analytic functions of compact operators and applications. Technical report, Dept. Mathematics and Statistics, Texas Tech Univ.
  • 9
    • 21844486429 scopus 로고
    • Penalized discriminant analysis
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    • Hastie, T.1    Buja, A.2    Tibshirai, R.3
  • 16
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    • Proc. Twelfth Biennial Seminar Canadian Mathematical Congress on Time Series and Stochastic Processes; Convexity and Combinatorics
    • ed, 1-37
    • Parzen, E. (1970). Statistical inference on time series by RKHS methods. In Proc. Twelfth Biennial Seminar Canadian Mathematical Congress on Time Series and Stochastic Processes; Convexity and Combinatorics (R. Pyke, ed.) 1-37.
    • (1970) Statistical inference on time series by RKHS methods
    • Parzen, E.1
  • 19
    • 0030642433 scopus 로고    scopus 로고
    • Some applications of Watson's perturbation approach to random matrices
    • Ruymgaart, F.H. and Yang, S. (1997). Some applications of Watson's perturbation approach to random matrices. J. Multivarate Anal. 60 48-60.
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    • Ruymgaart, F.H.1    Yang, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.