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Volumn 97, Issue 2, 2006, Pages 311-323

Rates of convergence for partitioning and nearest neighbor regression estimates with unbounded data

Author keywords

Nearest neighbor estimate; Partitioning estimate; Rate of convergence; Regression

Indexed keywords


EID: 29444446826     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2005.03.006     Document Type: Article
Times cited : (27)

References (20)
  • 2
    • 0020098693 scopus 로고
    • Any discrimination rule can have arbitrarily bad probability of error for finite sample size
    • L. Devroye Any discrimination rule can have arbitrarily bad probability of error for finite sample size IEEE Trans. Pattern Anal. Mach. Intell. 4 1982 154-157
    • (1982) IEEE Trans. Pattern Anal. Mach. Intell. , vol.4 , pp. 154-157
    • Devroye, L.1
  • 3
    • 21844511932 scopus 로고
    • On the strong universal consistency of nearest neighbor regression function estimates
    • L. Devroye L. Györfi A. Krzyzak G. Lugosi 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
  • 4
    • 0000289318 scopus 로고
    • Distribution-free pointwise consistency of kernel regression estimate
    • W. Greblicki A. Krzyzak M. Pawlak Distribution-free pointwise consistency of kernel regression estimate Ann. Statist. 12 1984 1570-1575
    • (1984) Ann. Statist. , vol.12 , pp. 1570-1575
    • Greblicki, W.1    Krzyzak, A.2    Pawlak, M.3
  • 5
    • 0019566110 scopus 로고
    • The rate of convergence of kn-NN regression estimates and classification rules
    • L. Györfi The rate of convergence of k n - NN regression estimates and classification rules IEEE Trans. Inform. Theory 27 1981 362-364
    • (1981) IEEE Trans. Inform. Theory , vol.27 , pp. 362-364
    • Györfi, L.1
  • 7
    • 85006556421 scopus 로고    scopus 로고
    • Weak and strong universal consistency of semi-recursive partitioning and kernel regression estimates
    • L. Györfi M. Kohler H. Walk Weak and strong universal consistency of semi-recursive partitioning and kernel regression estimates Statist. Decisions 16 1998 1-18
    • (1998) Statist. Decisions , vol.16 , pp. 1-18
    • Györfi, L.1    Kohler, M.2    Walk, H.3
  • 8
    • 0001446881 scopus 로고    scopus 로고
    • On the strong universal consistency of a series type regression estimate
    • L. Györfi H. Walk On the strong universal consistency of a series type regression estimate Math. Methods Statist. 5 1996 332-342
    • (1996) Math. Methods Statist. , vol.5 , pp. 332-342
    • Györfi, L.1    Walk, H.2
  • 9
    • 0031574624 scopus 로고    scopus 로고
    • On the strong universal consistency of a recursive regression estimate by Pál Révész
    • L. Györfi H. Walk On the strong universal consistency of a recursive regression estimate by Pál Révész Statist. Probab. Lett. 31 1997 177-183
    • (1997) Statist. Probab. Lett. , vol.31 , pp. 177-183
    • Györfi, L.1    Walk, H.2
  • 10
    • 0001492610 scopus 로고    scopus 로고
    • Universally consistent regression function estimation using hierarchical B-splines
    • M. Kohler Universally consistent regression function estimation using hierarchical B-splines J. Multivariate Anal. 67 1999 138-164
    • (1999) J. Multivariate Anal. , vol.67 , pp. 138-164
    • Kohler, M.1
  • 11
    • 12244252809 scopus 로고    scopus 로고
    • Universal consistency of local polynomial kernel regression estimates
    • M. Kohler Universal consistency of local polynomial kernel regression estimates Ann. Inst. Statist. Math. 54 2003 879-899
    • (2003) Ann. Inst. Statist. Math. , vol.54 , pp. 879-899
    • Kohler, M.1
  • 12
    • 0035504044 scopus 로고    scopus 로고
    • Nonparametric regression estimation using penalized least squares
    • M. Kohler A. Krzyzak Nonparametric regression estimation using penalized least squares IEEE Trans. Inform. Theory 47 2001 3054-3058
    • (2001) IEEE Trans. Inform. Theory , vol.47 , pp. 3054-3058
    • Kohler, M.1    Krzyzak, A.2
  • 13
    • 0006586815 scopus 로고    scopus 로고
    • Optimal global rates of convergence for nonparametric regression with unbounded data
    • submitted for publication
    • M. Kohler, A. Krzyzak, H. Walk, Optimal global rates of convergence for nonparametric regression with unbounded data, 2004, submitted for publication.
    • (2004)
    • Kohler, M.1    Krzyzak, A.2    Walk, H.3
  • 14
    • 0029341263 scopus 로고
    • Rates of convergence of nearest neighbor estimation under arbitrary sampling
    • S.R. Kulkarni S.E. Posner Rates of convergence of nearest neighbor estimation under arbitrary sampling IEEE Trans. Inform. Theory 41 1995 1028-1039
    • (1995) IEEE Trans. Inform. Theory , vol.41 , pp. 1028-1039
    • Kulkarni, S.R.1    Posner, S.E.2
  • 15
    • 0029307575 scopus 로고
    • Nonparametric estimation via empirical risk minimization
    • G. Lugosi K. Zeger Nonparametric estimation via empirical risk minimization IEEE Trans. Inform. Theory 41 1995 677-687
    • (1995) IEEE Trans. Inform. Theory , vol.41 , pp. 677-687
    • Lugosi, G.1    Zeger, K.2
  • 16
    • 0030489341 scopus 로고    scopus 로고
    • Histogram regression estimation using data-dependent partitions
    • A. Nobel Histogram regression estimation using data-dependent partitions Ann. Statist. 24 1996 1084-1105
    • (1996) Ann. Statist. , vol.24 , pp. 1084-1105
    • Nobel, A.1
  • 17
    • 0001293371 scopus 로고
    • Consistent window estimation in nonparametric regression
    • C. Spiegelman J. Sacks Consistent window estimation in nonparametric regression Ann. Statist. 8 1980 240-246
    • (1980) Ann. Statist. , vol.8 , pp. 240-246
    • Spiegelman, C.1    Sacks, J.2
  • 18
    • 0000388992 scopus 로고
    • Consistent nonparametric regression
    • C.J. Stone Consistent nonparametric regression Ann. Statist. 5 1977 595-645
    • (1977) Ann. Statist. , vol.5 , pp. 595-645
    • Stone, C.J.1
  • 19
    • 0000439527 scopus 로고
    • Optimal global rates of convergence for nonparametric regression
    • C.J. Stone 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
  • 20
    • 0012477457 scopus 로고    scopus 로고
    • Almost sure convergence properties of Nadaraya-Watson regression estimates
    • M. Dror P. L'Ecuyer F. Szidarovszky (Eds.) Kluwer Academic Publishers Dordrecht
    • H. Walk Almost sure convergence properties of Nadaraya-Watson regression estimates in: M. Dror P. L'Ecuyer F. Szidarovszky (Eds.) Modeling Uncertainty An Examination of its Theory, Methods and Applications 2002 Kluwer Academic Publishers Dordrecht 201-223
    • (2002) Modeling Uncertainty an Examination of Its Theory, Methods and Applications , pp. 201-223
    • Walk, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.