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Volumn 83, Issue 1, 2000, Pages 91-100

Lower bounds on the rate of convergence of nonparametric regression estimates

Author keywords

Individual rates of convergence; Nonparametric regression; Primary 62G20; Secondary 62G05

Indexed keywords


EID: 0005851470     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(99)00084-1     Document Type: Article
Times cited : (9)

References (14)
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    • Risk bounds for model selection via penalization
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    • Barron, A.R., Birgé, L., Massart, P., 1995. Risk bounds for model selection via penalization. Technical Report No. 95.54, Université Paris Sud. Probab. Theory Rel. Fields, in press.
    • (1995) Technical Report No. 95.54
    • Barron, A.R.1    Birgé, L.2    Massart, P.3
  • 3
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    • On estimating a density using Hellinger distance and some other strange facts
    • Birgé L. On estimating a density using Hellinger distance and some other strange facts. Probab. Theory Rel. Fields. 71:1986;271-291.
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    • Birgé, L.1
  • 4
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    • Any discrimination rule can have arbitrarily bad probability of error for finite sample size
    • Devroye L. Any discrimination rule can have arbitrarily bad probability of error for finite sample size. IEEE Trans. Pattern Anal. Machine Intell. 4:1982;154-157.
    • (1982) IEEE Trans. Pattern Anal. Machine Intell. , vol.4 , pp. 154-157
    • Devroye, L.1
  • 5
    • 21844511932 scopus 로고
    • On the strong universal consistency of nearest neighbor regression function estimates
    • Devroye L., Györfi L., Krzyżak A., Lugosi G. On the strong universal consistency of nearest neighbor regression function estimates. Ann. Statist. 22:1994;1371-1385.
    • (1994) Ann. Statist. , vol.22 , pp. 1371-1385
    • Devroye, L.1    Györfi, L.2    Krzyzak, A.3    Lugosi, G.4
  • 7
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    • Distribution-free lower bounds in density estimation
    • Devroye L., Penrod C.S. Distribution-free lower bounds in density estimation. Ann. Statist. 12:1984;1250-1262.
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    • Devroye, L.1    Penrod, C.S.2
  • 8
    • 0000568602 scopus 로고
    • Distribution-free consistency results in nonparametric discrimination and regression function estimation
    • Devroye L., Wagner T.J. Distribution-free consistency results in nonparametric discrimination and regression function estimation. Ann. Statist. 8:1980;231-239.
    • (1980) Ann. Statist. , vol.8 , pp. 231-239
    • Devroye, L.1    Wagner, T.J.2
  • 11
    • 0005809527 scopus 로고
    • On the bounds for quality of nonparametric regression function estimation
    • Ibragimov I.A., Khasminskii R.Z. On the bounds for quality of nonparametric regression function estimation. Theory Probab. Appl. 27:1982;81-94.
    • (1982) Theory Probab. Appl. , vol.27 , pp. 81-94
    • Ibragimov, I.A.1    Khasminskii, R.Z.2
  • 13
    • 0000388992 scopus 로고
    • Consistent nonparametric regression
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    • Stone, C.J.1
  • 14
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    • Optimal global rates of convergence for nonparametric regression
    • Stone C.J. Optimal global rates of convergence for nonparametric regression. Ann. Statist. 10:1982;1040-1053.
    • (1982) Ann. Statist. , vol.10 , pp. 1040-1053
    • Stone, C.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.