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Volumn 65, Issue , 2013, Pages 46-55

Robust functional linear regression based on splines

Author keywords

MM estimate; Natural splines; Robust ridge estimator

Indexed keywords

LEAST SQUARES APPROXIMATIONS;

EID: 84885020763     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2011.11.014     Document Type: Article
Times cited : (49)

References (27)
  • 2
    • 34247396181 scopus 로고    scopus 로고
    • Smoothing splines estimators in functional linear regression with errors-in-variables
    • DOI 10.1016/j.csda.2006.07.029, PII S0167947306002477
    • Cardot, H., Crambes, C., Kneip, A., Sarda, P., 2007. Smoothing splines estimators in functional linear regression with errors-in-variables. Comput. Statist. Data Anal. 51, 4832-4848. (Pubitemid 46635889)
    • (2007) Computational Statistics and Data Analysis , vol.51 , Issue.10 , pp. 4832-4848
    • Cardot, H.1    Crambes, C.2    Kneip, A.3    Sarda, P.4
  • 3
    • 27744593604 scopus 로고    scopus 로고
    • Quantile regression when the covariates are functions
    • DOI 10.1080/10485250500303015
    • Cardot, H., Crambes, C., Sarda, P., 2005. Quantile regression when the covariates are functions. J. Nonparametr. Stat. 17, 841-856. (Pubitemid 41617181)
    • (2005) Journal of Nonparametric Statistics , vol.17 , Issue.7 , pp. 841-856
    • Cardot, H.1    Crambes, C.2    Sarda, P.3
  • 4
    • 84880337467 scopus 로고    scopus 로고
    • Ozone pollution forecasting using conditional mean and conditional quantiles with functional covariates
    • Härdle, Vieu, (Eds.), Springer
    • Cardot, H., Crambes, C., Sarda, P., 2006. Ozone pollution forecasting using conditional mean and conditional quantiles with functional covariates. In: Härdle, Vieu, (Eds.), Statistical Methods for Biostatistics and Related Fields. Springer.
    • (2006) Statistical Methods for Biostatistics and Related Fields
    • Cardot, H.1    Crambes, C.2    Sarda, P.3
  • 5
    • 0041459525 scopus 로고    scopus 로고
    • Spline estimators for the functional linear model
    • Cardot, H., Ferraty, F., Sarda, P., 2003. Spline estimators for the functional linear model. Statist. Sinica 13, 571-591. (Pubitemid 37155842)
    • (2003) Statistica Sinica , vol.13 , Issue.3 , pp. 571-591
    • Cardot, H.1    Ferraty, F.2    Sarda, P.3
  • 6
    • 84885021107 scopus 로고    scopus 로고
    • Robust nonparametric estimation for functional data
    • Dabo-Niang, S., Ferraty, F. (Eds.), Springer, Heidelberg
    • Crambes, C., Delsol, L., Laksaci, A., 2008. Robust nonparametric estimation for functional data. In: Dabo-Niang, S., Ferraty, F. (Eds.), Functional and Operatorial Statistics. Springer, Heidelberg, pp. 109-116.
    • (2008) Functional and Operatorial Statistics , pp. 109-116
    • Crambes, C.1    Delsol, L.2    Laksaci, A.3
  • 7
    • 65349171811 scopus 로고    scopus 로고
    • Smoothing splines estimators for functional linear regression
    • Crambes, C., Kneip, A., Sarda, P., 2009. Smoothing splines estimators for functional linear regression. Ann. Statist. 37, 35-72.
    • (2009) Ann. Statist. , vol.37 , pp. 35-72
    • Crambes, C.1    Kneip, A.2    Sarda, P.3
  • 8
    • 79951813381 scopus 로고    scopus 로고
    • Weighted least squares methods for prediction in the functional data linear model
    • Delaigle, A., Hall, P., Apanasovich, T.V., 2009. Weighted least squares methods for prediction in the functional data linear model. Electron. J. Stat. 3, 865-885.
    • (2009) Electron. J. Stat. , vol.3 , pp. 865-885
    • Delaigle, A.1    Hall, P.2    Apanasovich, T.V.3
  • 9
    • 85030486302 scopus 로고    scopus 로고
    • Eigenvector Research, Inc. 2007. http://software.eigenvector.com/Data/ SWRI/index.html.
    • (2007)
  • 10
    • 25444532788 scopus 로고    scopus 로고
    • Flexible smoothing with B-splines and penalties
    • Eilers, P.H., Marx, B.D., 1996. Flexible smoothing with B-splines and penalties. Statist. Sci. 11, 89-102.
    • (1996) Statist. Sci. , vol.11 , pp. 89-102
    • Eilers, P.H.1    Marx, B.D.2
  • 15
    • 0344982260 scopus 로고    scopus 로고
    • Robust methods for partial least squares regression
    • Hubert, M., Vanden Branden, K., 2003. Robust methods for partial least squares regression. J. Chemom. 17, 537-549.
    • (2003) J. Chemom. , vol.17 , pp. 537-549
    • Hubert, M.1    Vanden Branden, K.2
  • 16
    • 0001681885 scopus 로고    scopus 로고
    • Composition of 15-17th century archeological glass vessels excavated in Antwerp, Belgium
    • Janssens, K., Deraedt, I., Freddy, A., Veekman, J., 1998. Composition of 15-17th century archeological glass vessels excavated in Antwerp, Belgium. Mikrochim. Acta 15 (Suppl.), 253-267.
    • (1998) Mikrochim. Acta , vol.15 , Issue.SUPPL. , pp. 253-267
    • Janssens, K.1    Deraedt, I.2    Freddy, A.3    Veekman, J.4
  • 17
    • 79251583431 scopus 로고    scopus 로고
    • Robust ridge regression for high-dimensional data
    • Maronna, R.A., 2011. Robust ridge regression for high-dimensional data. Technometrics 53, 44-53.
    • (2011) Technometrics , vol.53 , pp. 44-53
    • Maronna, R.A.1
  • 19
    • 0033079479 scopus 로고    scopus 로고
    • Generalized linear regression on sampled signals and curves: A P-spline approach
    • Marx, B.D., Eilers, P.H., 1999. Generalized linear regression on sampled signals and curves: a P-spline approach. Technometrics 41, 1-13.
    • (1999) Technometrics , vol.41 , pp. 1-13
    • Marx, B.D.1    Eilers, P.H.2
  • 20
  • 25
    • 80455160079 scopus 로고    scopus 로고
    • Functional linear regression after spline transformation
    • Wang, G., Lin, N., Zhang, B., 2012. Functional linear regression after spline transformation. Comput. Statist. Data Anal. 56, 587-601.
    • (2012) Comput. Statist. Data Anal. , vol.56 , pp. 587-601
    • Wang, G.1    Lin, N.2    Zhang, B.3
  • 26
    • 0001742386 scopus 로고
    • High breakdown-point and high efficiency estimates for regression
    • Yohai, V.J., 1987. High breakdown-point and high efficiency estimates for regression. Ann. Statist. 15, 642-665.
    • (1987) Ann. Statist. , vol.15 , pp. 642-665
    • Yohai, V.J.1
  • 27
    • 84950426631 scopus 로고
    • High breakdown point estimates of regression by means of the minimization of an efficient scale
    • Yohai, V.J., Zamar, R., 1988. High breakdown point estimates of regression by means of the minimization of an efficient scale. J. Amer. Statist. Assoc. 86, 403-413.
    • (1988) J. Amer. Statist. Assoc. , vol.86 , pp. 403-413
    • Yohai, V.J.1    Zamar, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.