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Volumn 24, Issue 1, 1996, Pages 1-24

Smoothed functional principal components analysis by choice of norm

Author keywords

Biomechanics; Consistency; Cross validation; Functional data analysis; Mean integrated square error; PCA; Roughness penalty; Smoothing

Indexed keywords


EID: 0030537857     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1033066196     Document Type: Article
Times cited : (279)

References (13)
  • 1
    • 0003796630 scopus 로고
    • Academic Press, New York
    • ADAMS, R. A. (1975). Sobolev Spaces. Academic Press, New York.
    • (1975) Sobolev Spaces
    • Adams, R.A.1
  • 2
    • 0004472735 scopus 로고
    • Computing reproducing kernels with arbitrary boundary constraints
    • DALZELL, C. J. and RAMSAY, J. O. (1993). Computing reproducing kernels with arbitrary boundary constraints. SIAM J. Sci. Comput. 14 511-518.
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 511-518
    • Dalzell, C.J.1    Ramsay, J.O.2
  • 3
    • 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
  • 6
    • 0001919174 scopus 로고
    • Some properties of smoothed principal components analysis for functional data
    • PEZZULLI, S. D. and SILVERMAN, B. W. (1993). Some properties of smoothed principal components analysis for functional data. Comput. Statist. Data Anal. 8 1-16.
    • (1993) Comput. Statist. Data Anal. , vol.8 , pp. 1-16
    • Pezzulli, S.D.1    Silverman, B.W.2
  • 7
    • 0038930332 scopus 로고
    • Some tools for the multivariate analysis of functional data
    • W. Krzanowski, ed. Clarendon, Oxford
    • RAMSAY, J. O. (1995). Some tools for the multivariate analysis of functional data. In Recent Advances in Descriptive Multivariate Analysis (W. Krzanowski, ed.) 269-282. Clarendon, Oxford.
    • (1995) Recent Advances in Descriptive Multivariate Analysis , pp. 269-282
    • Ramsay, J.O.1
  • 8
    • 0001501999 scopus 로고
    • Some tools for functional data analysis
    • RAMSAY, J. O. and DALZELL, C. J. (1991). Some tools for functional data analysis (with discussion). J. Roy. Statist. Soc. Ser. B 53 539-572.
    • (1991) J. Roy. Statist. Soc. Ser. B , vol.53 , pp. 539-572
    • Ramsay, J.O.1    Dalzell, C.J.2
  • 9
    • 21844483225 scopus 로고
    • The functional data analysis of the pinch force of human fingers
    • RAMSAY, J. O., FLANAGAN, R. and WANG, X. (1995). The functional data analysis of the pinch force of human fingers. J. Roy. Statist. Soc. Ser. C 44 17-30.
    • (1995) J. Roy. Statist. Soc. Ser. C , vol.44 , pp. 17-30
    • Ramsay, J.O.1    Flanagan, R.2    Wang, X.3
  • 10
    • 0001597980 scopus 로고
    • Estimating the mean and covariance structure nonparametrically when the data are curves
    • RICE, J. A. and SILVERMAN, B. W. (1991). Estimating the mean and covariance structure nonparametrically when the data are curves. J. Roy. Statist. Soc. Ser. B 53 233-243.
    • (1991) J. Roy. Statist. Soc. Ser. B , vol.53 , pp. 233-243
    • Rice, J.A.1    Silverman, B.W.2
  • 11
    • 0010884279 scopus 로고
    • Addison-Wesley, Reading, MA
    • SPIVAK, M. (1967). Calculus. Addison-Wesley, Reading, MA.
    • (1967) Calculus
    • Spivak, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.