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Volumn 76, Issue 13, 2006, Pages 1335-1344

Robust estimators of high order derivatives of regression functions

Author keywords

Asymptotic properties; Bandwidth selectors; Kernel weights; Robust estimation; Smoothing techniques

Indexed keywords


EID: 33744802365     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2006.01.011     Document Type: Article
Times cited : (19)

References (17)
  • 1
    • 33744822574 scopus 로고    scopus 로고
    • Boente, G., Rodriguez, D., 2005. Robust estimators of high order derivatives of regression functions. Preprints from the Instituto de Cálculo, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires. Available at 〈http://www.ic.fcen.uba.ar/preprints/boenterodriguez2005.pdf〉.
  • 2
    • 0031567958 scopus 로고    scopus 로고
    • Robust plug-in bandwidth estimators in nonparametric regression
    • Boente G., Fraiman R., and Meloche J. Robust plug-in bandwidth estimators in nonparametric regression. J. Statist. Plann. Inference 57 (1997) 109-142
    • (1997) J. Statist. Plann. Inference , vol.57 , pp. 109-142
    • Boente, G.1    Fraiman, R.2    Meloche, J.3
  • 3
    • 0041878437 scopus 로고    scopus 로고
    • Resistant selection of the smoothing parameter for smoothing splines
    • Cantoni E., and Ronchetti E. Resistant selection of the smoothing parameter for smoothing splines. Statist. Comput. 11 (2001) 141-146
    • (2001) Statist. Comput. , vol.11 , pp. 141-146
    • Cantoni, E.1    Ronchetti, E.2
  • 4
    • 0000298149 scopus 로고
    • A flexible and fast method for automatic smoothing
    • Gasser T., Kneip A., and Köhler W. A flexible and fast method for automatic smoothing. J. Amer. Stat. Assoc. 86 (1991) 643-652
    • (1991) J. Amer. Stat. Assoc. , vol.86 , pp. 643-652
    • Gasser, T.1    Kneip, A.2    Köhler, W.3
  • 5
    • 0001257368 scopus 로고
    • Estimating regression functions and their derivatives by the kernel method
    • Gasser T., and Müller H. Estimating regression functions and their derivatives by the kernel method. Scand. J. Statist. 11 (1984) 171-185
    • (1984) Scand. J. Statist. , vol.11 , pp. 171-185
    • Gasser, T.1    Müller, H.2
  • 8
    • 0002259450 scopus 로고
    • Adaptive M-estimation in nonparametric regression
    • Hall P., and Jones M. Adaptive M-estimation in nonparametric regression. Ann. Statist. 18 4 (1990) 1712-1728
    • (1990) Ann. Statist. , vol.18 , Issue.4 , pp. 1712-1728
    • Hall, P.1    Jones, M.2
  • 9
    • 0003049053 scopus 로고
    • Robust non-parametric function fitting
    • Härdle W., and Gasser T. Robust non-parametric function fitting. J. Roy. Statist. Soc. 46 (1984) 42-51
    • (1984) J. Roy. Statist. Soc. , vol.46 , pp. 42-51
    • Härdle, W.1    Gasser, T.2
  • 10
    • 0000522565 scopus 로고
    • On robust kernel estimation of derivatives of regression functions
    • Härdle W., and Gasser T. On robust kernel estimation of derivatives of regression functions. Scand. J. Statist. 12 (1985) 233-240
    • (1985) Scand. J. Statist. , vol.12 , pp. 233-240
    • Härdle, W.1    Gasser, T.2
  • 11
    • 0001438890 scopus 로고
    • Uniform consistency of a class of regression function estimator
    • Härdle W., and Luckhaus S. Uniform consistency of a class of regression function estimator. Ann. Statist. 12 (1984) 612-623
    • (1984) Ann. Statist. , vol.12 , pp. 612-623
    • Härdle, W.1    Luckhaus, S.2
  • 13
    • 0000006440 scopus 로고
    • Bandwidth choice for nonparametric regression
    • Rice J. Bandwidth choice for nonparametric regression. Ann. Statist. 12 (1984) 1215-1230
    • (1984) Ann. Statist. , vol.12 , pp. 1215-1230
    • Rice, J.1
  • 14
    • 84947934780 scopus 로고
    • An effective bandwidth selector for local least squares regression
    • Ruppert D., Sheater S., and Wand M. An effective bandwidth selector for local least squares regression. J. Amer. Statist. Assoc. 90 (1995) 1257-1270
    • (1995) J. Amer. Statist. Assoc. , vol.90 , pp. 1257-1270
    • Ruppert, D.1    Sheater, S.2    Wand, M.3
  • 15
    • 33744819564 scopus 로고    scopus 로고
    • Sarda, P., Vieu, P., 1988. Vitesses de convergence déstimateurs nonparamétriques dúne regression et de ses dérivées. C. R. Acad. Sci. Paris Ser. I, 83-86.
  • 16
    • 0000788189 scopus 로고
    • Contributions to the theory of nonparametric regression with application to system identification
    • Schuster E., and Yakowitz S. Contributions to the theory of nonparametric regression with application to system identification. Ann. Statist. 7 1 (1979) 139-149
    • (1979) Ann. Statist. , vol.7 , Issue.1 , pp. 139-149
    • Schuster, E.1    Yakowitz, S.2
  • 17
    • 21344494733 scopus 로고
    • 1 method for robust nonparametric regression
    • 1 method for robust nonparametric regression. J. Amer. Statist. Assoc. 89 (1994) 65-76
    • (1994) J. Amer. Statist. Assoc. , vol.89 , pp. 65-76
    • Wang, F.1    Scott, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.