메뉴 건너뛰기




Volumn 5, Issue , 2011, Pages 31-40

Convergence of functional k-nearest neighbor regression estimate with functional responses

Author keywords

Functional response models; Martingale difference sequence; Nearest neighbor estimate; Rates of convergence

Indexed keywords


EID: 79961096433     PISSN: 19357524     EISSN: None     Source Type: Journal    
DOI: 10.1214/11-EJS595     Document Type: Article
Times cited : (57)

References (24)
  • 2
    • 79961052174 scopus 로고    scopus 로고
    • Linear processes in function spaces: Theory and applica-tions
    • MR1783138
    • Bosq, D. (2000). Linear processes in function spaces: theory and applica-tions. Springer Verlag. MR1783138
    • (2000) Springer Verlag
    • Bosq, D.1
  • 3
    • 70449568627 scopus 로고    scopus 로고
    • K-Nearest Neighbour method in functional nonparametric regression
    • MR2571722
    • Burba, F., Ferraty, F. and Vieu, P. (2009). K-Nearest Neighbour method in functional nonparametric regression. Journal of Nonparametric Statistics 21 453-469. MR2571722
    • (2009) Journal of Nonparametric Statistics , vol.21 , pp. 453-469
    • Burba, F.1    Ferraty, F.2    Vieu, P.3
  • 6
    • 61449267815 scopus 로고    scopus 로고
    • Advances on asymptotic normality in non-parametric functional time series analysis
    • MR2499359
    • Delsol, L. (2009). Advances on asymptotic normality in non-parametric functional time series analysis. Statistics 43 13-33. MR2499359
    • (2009) Statistics , vol.43 , pp. 13-33
    • Delsol, L.1
  • 7
    • 77953968094 scopus 로고    scopus 로고
    • On the Validity of the Bootstrap in Non-Parametric Functional Regression
    • MR2682301
    • Ferraty, F., Keilegom, I. and Vieu, P. (2010). On the Validity of the Bootstrap in Non-Parametric Functional Regression. Scandinavian Journal of Statistics 37 286-306. MR2682301
    • (2010) Scandinavian Journal of Statistics , vol.37 , pp. 286-306
    • Ferraty, F.1    Keilegom, I.2    Vieu, P.3
  • 8
    • 34548232194 scopus 로고    scopus 로고
    • Nonparametric regression on functional data: Inference and practical aspects
    • MR2396496
    • Ferraty, F., Mas, A. and Vieu, P. (2007). Nonparametric regression on functional data: Inference and practical aspects. Australian & New Zealand Journal of Statistics 49 267-286. MR2396496
    • (2007) Australian & New Zealand Journal of Statistics , vol.49 , pp. 267-286
    • Ferraty, F.1    Mas, A.2    Vieu, P.3
  • 9
    • 0036448834 scopus 로고    scopus 로고
    • The functional nonparametric model and application to spectrometric data
    • MR1952697
    • Ferraty, F. and Vieu, P. (2002). The functional nonparametric model and application to spectrometric data. Computational Statistics 17 545-564. MR1952697
    • (2002) Computational Statistics , vol.17 , pp. 545-564
    • Ferraty, F.1    Vieu, P.2
  • 10
    • 0842264210 scopus 로고    scopus 로고
    • Nonparametric models for functional data, with application in regression, time-series prediction and curve discrimination
    • MR2053065
    • Ferraty, F. and Vieu, P. (2004). Nonparametric models for functional data, with application in regression, time-series prediction and curve discrimination. Journal of nonparametric statistics 16 111-125. MR2053065
    • (2004) Journal of Nonparametric Statistics , vol.16 , pp. 111-125
    • Ferraty, F.1    Vieu, P.2
  • 11
    • 33845913997 scopus 로고    scopus 로고
    • Nonparametric functional data analy-sis: Theory and practice. Springer series in statistics
    • New York, NY. MR2229687
    • Ferraty, F. and Vieu, P. (2006). Nonparametric functional data analy-sis: theory and practice. Springer series in statistics. Springer, New York, NY. MR2229687
    • (2006) Springer
    • Ferraty, F.1    Vieu, P.2
  • 12
    • 70350425206 scopus 로고    scopus 로고
    • Rate of uniform consistency for nonparametric estimates with functional variables
    • MR2558367
    • Ferraty, F., Laksaci, A., Tadj, A. and Vieu, P. (2010). Rate of uniform consistency for nonparametric estimates with functional variables. Journal of Statistical Planning and Inference 140 335-352. MR2558367
    • (2010) Journal of Statistical Planning and Inference , vol.140 , pp. 335-352
    • Ferraty, F.1    Laksaci, A.2    Tadj, A.3    Vieu, P.4
  • 13
    • 22944478488 scopus 로고
    • Discriminatory analysis. nonparametric discrimination: Consistency properties
    • Fix, E. and Hodges, J. L. (1989). Discriminatory analysis. nonparametric discrimination: consistency properties. International Statistical Review 57 238-247.
    • (1989) International Statistical Review , vol.57 , pp. 238-247
    • Fix, E.1    Hodges, J.L.2
  • 15
    • 40549143409 scopus 로고    scopus 로고
    • Nonlinear functional models for functional responses in reproducing kernel Hilbert spaces
    • MR2381399
    • Lian, H. (2007). Nonlinear functional models for functional responses in reproducing kernel Hilbert spaces. Canadian Journal of Statistics-Revue Canadienne De Statistique 35 597-606. MR2381399
    • (2007) Canadian Journal of Statistics-Revue Canadienne De Statistique , vol.35 , pp. 597-606
    • Lian, H.1
  • 16
    • 0001473437 scopus 로고
    • On the estimation of a probability density function and mode
    • MR0143282
    • Parzen, E. (1962). On the estimation of a probability density function and mode. Annals of Mathematical Statistics 33 1065-1076. MR0143282
    • (1962) Annals of Mathematical Statistics , vol.33 , pp. 1065-1076
    • Parzen, E.1
  • 18
    • 33750515938 scopus 로고    scopus 로고
    • Regression models for functional data by reproducing kernel Hilbert spaces methods
    • MR2301719
    • Preda, C. (2007). Regression models for functional data by reproducing kernel Hilbert spaces methods. Journal of Statistical Planning and Infer-ence 137 829-840. MR2301719
    • (2007) Journal of Statistical Planning and Infer-ence , vol.137 , pp. 829-840
    • Preda, C.1
  • 19
    • 0004130505 scopus 로고    scopus 로고
    • 2nd ed. Springer series in statistics. Springer, New York. MR2168993
    • Ramsay, J. O. and Silverman, B. W. (2005). Functional data analysis, 2nd ed. Springer series in statistics. Springer, New York. MR2168993
    • (2005) Functional Data Analysis
    • Ramsay, J.O.1    Silverman, B.W.2
  • 20
    • 0001529784 scopus 로고
    • Remarks on some nonparametric estimates of density function
    • MR0079873
    • Rosenblatt, M. (1956). Remarks on some nonparametric estimates of density function. Annals of Mathematical Statistics 27 832-837. MR0079873
    • (1956) Annals of Mathematical Statistics , vol.27 , pp. 832-837
    • Rosenblatt, M.1
  • 22
    • 51049088387 scopus 로고    scopus 로고
    • Rates of contraction of posterior distributions based on Gaussian process priors
    • MR2418663
    • van der Vaart, A. W. and Van Zanten, J. H. (2008). Rates of contraction of posterior distributions based on Gaussian process priors. Annals of Statistics 36 1435-1463. MR2418663
    • (2008) Annals of Statistics , vol.36 , pp. 1435-1463
    • van der Vaart, A.W.1    van Zanten, J.H.2
  • 24
    • 0033233737 scopus 로고    scopus 로고
    • Information-theoretic determination of minimax rates of convergence
    • MR1742500
    • Yang, Y. H. and Barron, A. (1999). Information-theoretic determination of minimax rates of convergence. Annals of Statistics 27 1564-1599. MR1742500
    • (1999) Annals of Statistics , vol.27 , pp. 1564-1599
    • Yang, Y.H.1    Barron, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.