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Volumn 64, Issue 4, 2002, Pages 791-804

Bandwidth selection for local linear regression smoothers

Author keywords

Local linear regression smoother; Nonparametric regression; Oracle inequality; Universal bandwidth selection

Indexed keywords


EID: 0036434979     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9868.00361     Document Type: Article
Times cited : (16)

References (17)
  • 1
    • 0033459856 scopus 로고    scopus 로고
    • Risk bounds for model selection via penalization
    • Barron, A., Birgé, L. and Massart, P. (1999) Risk bounds for model selection via penalization. Probab. Theory Reltd Flds, 113, 301-413.
    • (1999) Probab. Theory Reltd Flds , vol.113 , pp. 301-413
    • Barron, A.1    Birgé, L.2    Massart, P.3
  • 3
    • 0030335054 scopus 로고    scopus 로고
    • A universally acceptable smoothing factor for kernel density estimation
    • Devroye, L. and Lugosi, G. (1996) A universally acceptable smoothing factor for kernel density estimation. Ann. Statist., 24, 2499-2512.
    • (1996) Ann. Statist. , vol.24 , pp. 2499-2512
    • Devroye, L.1    Lugosi, G.2
  • 4
    • 0031319763 scopus 로고    scopus 로고
    • Nonasymptotic smoothing factors, kernel complexity and Yatracos classes
    • _(1997) Nonasymptotic smoothing factors, kernel complexity and Yatracos classes. Ann. Statist., 25, 2626-2637.
    • (1997) Ann. Statist. , vol.25 , pp. 2626-2637
  • 5
    • 0000887734 scopus 로고
    • Data-driven bandwidth selection in local polynomial fitting: Variable bandwidth and spatial adaptation
    • Fan, J. and Gijbels, I. (1995) Data-driven bandwidth selection in local polynomial fitting: variable bandwidth and spatial adaptation, J. R. Statist. Soc. B, 57, 371-394.
    • (1995) J. R. Statist. Soc. B , vol.57 , pp. 371-394
    • Fan, J.1    Gijbels, I.2
  • 7
    • 0011620130 scopus 로고
    • Nonparametric kernel regression estimation-optimal choice of bandwidth
    • Härdle, W. and Kelly, G. (1987) Nonparametric kernel regression estimation-optimal choice of bandwidth. Statistics, 18, 21-35.
    • (1987) Statistics , vol.18 , pp. 21-35
    • Härdle, W.1    Kelly, G.2
  • 9
    • 0001354983 scopus 로고    scopus 로고
    • Smoothing parameter selection in nonparametric regression using an improved Akaike information criterion
    • Hurvich, C.M., Simonoff, J.S. and Tsai, C.-L. (1998) Smoothing parameter selection in nonparametric regression using an improved Akaike information criterion. J. R. Statist. Soc. B, 60, 271-293.
    • (1998) J. R. Statist. Soc. B , vol.60 , pp. 271-293
    • Hurvich, C.M.1    Simonoff, J.S.2    Tsai, C.-L.3
  • 10
    • 0009321484 scopus 로고    scopus 로고
    • On an exact constant for the rosenthal inequality
    • Ibragimov, R. and Sharakhmetov, Sh. (1998) On an exact constant for the Rosenthal inequality. Theory Probab. Appl., 42, 294-302.
    • (1998) Theory Probab. Appl. , vol.42 , pp. 294-302
    • Ibragimov, R.1    Sharakhmetov, Sh.2
  • 11
    • 0011564398 scopus 로고    scopus 로고
    • Universal consistency of local polynomial regression estimates
    • to be published
    • Kohler, M. (2000) Universal consistency of local polynomial regression estimates. Ann. Inst. Math. Statist., to be published.
    • (2000) Ann. Inst. Math. Statist.
    • Kohler, M.1
  • 13
    • 0001556720 scopus 로고    scopus 로고
    • Efficient agnostic learning of neural networks with bounded fan-in
    • Lee, W.S., Bartlett, P.L. and Williamson, R.C. (1996) Efficient agnostic learning of neural networks with bounded fan-in. IEEE Trans. Inform. Theory, 42, 2118-2132.
    • (1996) IEEE Trans. Inform. Theory , vol.42 , pp. 2118-2132
    • Lee, W.S.1    Bartlett, P.L.2    Williamson, R.C.3
  • 14
    • 84947934780 scopus 로고
    • An effective bandwidth selector for local least squares regression
    • Ruppert, D., Sheather, S.J. and Wand, M.P. (1995) An effective bandwidth selector for local least squares regression. J. Am. Statist. Ass., 90, 1257-1270.
    • (1995) J. Am. Statist. Ass. , vol.90 , pp. 1257-1270
    • Ruppert, D.1    Sheather, S.J.2    Wand, M.P.3
  • 15
    • 0001995852 scopus 로고
    • Some aspects of the spline smoothing approach to non-parametric regression curve fitting (with discussion)
    • Silverman, B.W. (1985) Some aspects of the spline smoothing approach to non-parametric regression curve fitting (with discussion). J. R. Statist. Soc. B, 47, 1-52.
    • (1985) J. R. Statist. Soc. B , vol.47 , pp. 1-52
    • Silverman, B.W.1
  • 16
    • 0033445980 scopus 로고    scopus 로고
    • Quasi universal bandwidth selection for kernel density estimators
    • Wegkamp, M.H. (1999) Quasi universal bandwidth selection for kernel density estimators, Can. J. Statist., 27, 409-420.
    • (1999) Can. J. Statist. , vol.27 , pp. 409-420
    • Wegkamp, M.H.1
  • 17
    • 0011571806 scopus 로고    scopus 로고
    • Model selection procedures in nonparametric regression
    • in the press
    • _(2003) Model selection procedures in nonparametric regression. Ann. Statist., 31, in the press.
    • (2003) Ann. Statist. , vol.31


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.