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Volumn 58, Issue 3, 2006, Pages 619-633

On the kernel rule for function classification

Author keywords

Classification; Consistency; Kernel rule; Metric entropy; Universal consistency

Indexed keywords

ASYMPTOTIC STABILITY; ERROR ANALYSIS; PROBABILITY; RANDOM PROCESSES; STATISTICAL METHODS;

EID: 33748526544     PISSN: 00203157     EISSN: 15729052     Source Type: Journal    
DOI: 10.1007/s10463-006-0032-1     Document Type: Article
Times cited : (35)

References (31)
  • 3
    • 0142010570 scopus 로고    scopus 로고
    • Wavelet methods for continuous-time prediction using representations of autoregressive processes in Hilbert spaces
    • Antoniadis, A., Sapatinas, T. (2003). Wavelet methods for continuous-time prediction using representations of autoregressive processes in Hilbert spaces. Journal of Multivariate Analysis, 87, 133-158.
    • (2003) Journal of Multivariate Analysis , vol.87 , pp. 133-158
    • Antoniadis, A.1    Sapatinas, T.2
  • 11
    • 20544475174 scopus 로고    scopus 로고
    • Nonparametric regression estimation when the regressor takes its values in a metric space
    • Diabo-Niang, S., Rhomari, N. (2001). Nonparametric regression estimation when the regressor takes its values in a metric space. University Paris VI, Technical Report, http://www.lsta.upmc.fr/.
    • (2001) University Paris VI, Technical Report
    • Diabo-Niang, S.1    Rhomari, N.2
  • 12
    • 0034649922 scopus 로고    scopus 로고
    • Dimension fractale et estimation de la régression dans des espaces vectoriels semi-normés
    • Ferraty, F., Vieu, P. (2000). Dimension fractale et estimation de la régression dans des espaces vectoriels semi-normés. Comptes Rendus de l'Académie des Sciences de Paris, 330, 139-142.
    • (2000) Comptes Rendus de l'Académie des Sciences de Paris , vol.330 , pp. 139-142
    • Ferraty, F.1    Vieu, P.2
  • 13
    • 0036448834 scopus 로고    scopus 로고
    • The functional nonparametric model and application to spectrometric data
    • Ferraty, F., Vieu, P. (2002). The functional nonparametric model and application to spectrometric data. Computational Statistics, 17, 545-564.
    • (2002) Computational Statistics , vol.17 , pp. 545-564
    • Ferraty, F.1    Vieu, P.2
  • 14
    • 0141989607 scopus 로고    scopus 로고
    • Curves discrimination: A nonparametric functional approach
    • Ferraty, F., Vieu, P. (2003). Curves discrimination: a nonparametric functional approach. Computational Statistics and Data Analysis, 44, 161-173.
    • (2003) Computational Statistics and Data Analysis , vol.44 , pp. 161-173
    • Ferraty, F.1    Vieu, P.2
  • 15
    • 0035252777 scopus 로고    scopus 로고
    • A functional data-analytic approach to signal discrimination
    • Hall, P., Poskitt, D., Presnell, B. (2001). A functional data-analytic approach to signal discrimination. Technometrics, 43, 1-9.
    • (2001) Technometrics , vol.43 , pp. 1-9
    • Hall, P.1    Poskitt, D.2    Presnell, B.3
  • 16
    • 21144472058 scopus 로고
    • Statistical tools to analyse data representing a sample of curves
    • Kneip, A., Gasser, T. (1992). Statistical tools to analyse data representing a sample of curves. The Annals of Statistics, 20, 1266-1305.
    • (1992) The Annals of Statistics , vol.20 , pp. 1266-1305
    • Kneip, A.1    Gasser, T.2
  • 18
    • 0029341263 scopus 로고
    • Rates of convergence of nearest neighbor estimation under arbitrary sampling
    • Kulkarni, S. R., Posner, S. E. (1995). Rates of convergence of nearest neighbor estimation under arbitrary sampling. IEEE Transactions on Information Theory, 41, 1028-1039.
    • (1995) IEEE Transactions on Information Theory , vol.41 , pp. 1028-1039
    • Kulkarni, S.R.1    Posner, S.E.2
  • 19
    • 33748546779 scopus 로고
    • Lecture Notes in Mathematics. Berlin: Springer-Verlag
    • Mattila, P. (1980). Differentiation of measures on uniform spaces. Lecture Notes in Mathematics, vol. 794, pp. 261-283. Berlin: Springer-Verlag.
    • (1980) Differentiation of Measures on Uniform Spaces , vol.794 , pp. 261-283
    • Mattila, P.1
  • 20
    • 0001035413 scopus 로고
    • On the method of bounded differences
    • Cambridge: Cambridge University Press
    • McDiarmid, C. (1989). On the method of bounded differences. Surveys in Combinatorics 1989 (pp. 148-188). Cambridge: Cambridge University Press.
    • (1989) Surveys in Combinatorics 1989 , pp. 148-188
    • McDiarmid, C.1
  • 22
    • 0000570387 scopus 로고
    • Remarks on nonparametric estimates for density functions and regression curves
    • Nadaraya, E. A. (1970). Remarks on nonparametric estimates for density functions and regression curves. Theory of Probability and its Applications, 15, 134-137.
    • (1970) Theory of Probability and Its Applications , vol.15 , pp. 134-137
    • Nadaraya, E.A.1
  • 23
    • 0001473437 scopus 로고
    • On estimation of a probability density function and mode
    • Parzen, E. (1962). On estimation of a probability density function and mode. The Annals of Mathematical Statistics, 33, 1065-1076.
    • (1962) The Annals of Mathematical Statistics , vol.33 , pp. 1065-1076
    • Parzen, E.1
  • 26
    • 0001597980 scopus 로고
    • Estimating the mean and covariance structure nonparametrically when the data are curves
    • Rice, J. A., Silverman, B. W. (1991). Estimating the mean and covariance structure nonparametrically when the data are curves. Journal of the Royal Statistical Society, Series B, 53, 233-243.
    • (1991) Journal of the Royal Statistical Society, Series B , vol.53 , pp. 233-243
    • Rice, J.A.1    Silverman, B.W.2
  • 27
    • 0001529784 scopus 로고
    • Remarks on some nonparametric estimates of a density function
    • Rosenblatt, M. (1956). Remarks on some nonparametric estimates of a density function. The Annals of Mathematical Statistics, 27, 832-837.
    • (1956) The Annals of Mathematical Statistics , vol.27 , pp. 832-837
    • Rosenblatt, M.1
  • 29
    • 4243569982 scopus 로고
    • Differentiation theorem for Gaussian measures on Hilbert space
    • Tiser, J. (1988). Differentiation theorem for Gaussian measures on Hilbert space. Transactions of the American Mathematical Society, 308, 655-666.
    • (1988) Transactions of the American Mathematical Society , vol.308 , pp. 655-666
    • Tiser, J.1
  • 31
    • 0001762424 scopus 로고
    • Smooth regression analysis
    • Watson, G. S. (1964). Smooth regression analysis. Sankhyā, Series A, 26, 359-372.
    • (1964) Sankhyā, Series A , vol.26 , pp. 359-372
    • Watson, G.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.