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Volumn 26, Issue 1, 1999, Pages 47-59

Beta-Bernstein smoothing for regression curves with compact support

(2)  Brown, Bruce M a   Chen, Song Xi a  

a NONE

Author keywords

Bandwidth; Bernstein polynomials; Beta kernels; Boundary bias; Hypergeometric distribution; Mean integrated square error; Non parametric regression

Indexed keywords


EID: 0033098239     PISSN: 03036898     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9469.00136     Document Type: Article
Times cited : (57)

References (16)
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    • Brown, B.M.1    Elliott, D.2    Paget, D.F.3
  • 3
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  • 4
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    • Fan, J.Q.1    Gijbels, I.2
  • 5
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    • (eds Th. Gasser & M. Rosenblatt). Springer, Heidelberg
    • Gasser, Th. & Müller, H.-G. (1979). Kernel estimation of regression functions. In Smoothing techniques for curve estimation (eds Th. Gasser & M. Rosenblatt), 23-68. Springer, Heidelberg.
    • (1979) Smoothing Techniques for Curve Estimation , pp. 23-68
    • Gasser, Th.1    Müller, H.-G.2
  • 6
    • 0000944497 scopus 로고
    • A geometrical method for removing edge effects from kernel-type nonparametric regression estimators
    • Hall, P. & Wehrly (1991). A geometrical method for removing edge effects from kernel-type nonparametric regression estimators. J. Amer. Statist. Assoc. 86, 665-672.
    • (1991) J. Amer. Statist. Assoc. , vol.86 , pp. 665-672
    • Hall, P.1
  • 8
    • 0003214613 scopus 로고
    • Bernstein polynomials
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    • Lorentz, G. G. (1953). Bernstein polynomials. Math. Expo. 8, University of Toronto Press, Toronto.
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  • 10
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    • Smooth optimum kernel estimators near endpoints
    • Müller, H.-G. (1991). Smooth optimum kernel estimators near endpoints. Biometrika 78, 521-530.
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    • Müller, H.-G.1
  • 13
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    • Boundary modification for kernel regression
    • Rice, J. A. (1984). Boundary modification for kernel regression. Comm. Statist. Theory Meth. 13, 893-900.
    • (1984) Comm. Statist. Theory Meth. , vol.13 , pp. 893-900
    • Rice, J.A.1
  • 14
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    • An optimal selection of regression variables
    • Shibata, R. (1981). An optimal selection of regression variables. Biometrika 68, 45-54.
    • (1981) Biometrika , vol.68 , pp. 45-54
    • Shibata, R.1
  • 15
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    • Asymptotic properties of nonparametric curve estimators
    • Stadtmüller, U. (1986). Asymptotic properties of nonparametric curve estimators. Period. Math. Hungar. 17, 83-108.
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    • Stadtmüller, U.1
  • 16
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    • Nonparametric curve estimation with Bernstein estimates
    • Tenbusch, A. (1997). Nonparametric curve estimation with Bernstein estimates. Metrika 45, 1-30.
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    • Tenbusch, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.