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Volumn 65, Issue 2, 1998, Pages 209-227

The Hilbert Kernel Regression Estimate

Author keywords

Bandwidth selection; Convergence; Kernel estimate; Nadaraya Watson estimate; Nonparametric estimation; Regression function estimation

Indexed keywords


EID: 0009884522     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.1997.1725     Document Type: Article
Times cited : (36)

References (21)
  • 1
    • 0039607373 scopus 로고
    • Potential function algorithms for pattern recognition learning machines
    • Bashkirov O., Braverman E. M., Muchnik I. E. Potential function algorithms for pattern recognition learning machines. Automat. Remote Control. 25:1964;692-695.
    • (1964) Automat. Remote Control , vol.25 , pp. 692-695
    • Bashkirov, O.1    Braverman, E.M.2    Muchnik, I.E.3
  • 3
    • 0002744085 scopus 로고
    • Estimation non paramétrique de la régression
    • Collomb G. Estimation non paramétrique de la régression. Internat. Statist. Rev. 49:1981;75-93.
    • (1981) Internat. Statist. Rev. , vol.49 , pp. 75-93
    • Collomb, G.1
  • 4
    • 0001244757 scopus 로고
    • On the almost everywhere convergence of nonparametric regression function estimates
    • Devroye L. On the almost everywhere convergence of nonparametric regression function estimates. Ann. Statist. 9:1981;1310-1319.
    • (1981) Ann. Statist. , vol.9 , pp. 1310-1319
    • Devroye, L.1
  • 5
    • 0000236372 scopus 로고
    • Necessary and sufficient conditions for the almost everywhere convergence of nearest neighbor regression function estimates
    • Devroye L. Necessary and sufficient conditions for the almost everywhere convergence of nearest neighbor regression function estimates. Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete. 61:1982;467-481.
    • (1982) Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete , vol.61 , pp. 467-481
    • Devroye, L.1
  • 7
    • 34748837624 scopus 로고
    • An equivalence theorem for L1 convergence of the kernel regression estimate
    • Devroye L., Krzyżak A. An equivalence theorem for L1 convergence of the kernel regression estimate. J. Statist. Planning & Infer. 23:1989;71-82.
    • (1989) J. Statist. Planning & Infer. , vol.23 , pp. 71-82
    • Devroye, L.1    Krzyzak, A.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
  • 9
    • 0000289318 scopus 로고
    • Distribution-free pointwise consistency of kernel regression estimate
    • Greblicki W., Krzyżak A., Pawlak M. 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
  • 10
    • 84947403595 scopus 로고
    • Probability inequalities for sums of bounded random variables
    • Hoeffding W. Probability inequalities for sums of bounded random variables. J. Amer. Statist. Assoc. 58:1963;13-30.
    • (1963) J. Amer. Statist. Assoc. , vol.58 , pp. 13-30
    • Hoeffding, W.1
  • 11
    • 0022775261 scopus 로고
    • The rates of convergence of kernel regression estimates and classification rules
    • Krzyżak A. The rates of convergence of kernel regression estimates and classification rules. IEEE Trans. on Inform. Theory. IT-32:1986;668-679.
    • (1986) IEEE Trans. on Inform. Theory , vol.32 , pp. 668-679
    • Krzyzak, A.1
  • 12
    • 0021197309 scopus 로고
    • Distribution-free consistency of a nonparametric kernel regression estimate and classification
    • Krzyżak A., Pawlak M. Distribution-free consistency of a nonparametric kernel regression estimate and classification. IEEE Trans. on Inform. Theory. IT-30:1984;78-81.
    • (1984) IEEE Trans. on Inform. Theory , vol.30 , pp. 78-81
    • Krzyzak, A.1    Pawlak, M.2
  • 13
    • 0000570382 scopus 로고
    • On estimating regression
    • Nadaraya E. A. On estimating regression. Theory Probab. Appl. 9:1964;141-142.
    • (1964) Theory Probab. Appl. , vol.9 , pp. 141-142
    • Nadaraya, E.A.1
  • 14
    • 0000570387 scopus 로고
    • Remarks on nonparametric estimates for density functions and regression curves
    • Nadaraya E. A. Remarks on nonparametric estimates for density functions and regression curves. Theory Probab. Appl. 15:1970;134-137.
    • (1970) Theory Probab. Appl. , vol.15 , pp. 134-137
    • Nadaraya, E.A.1
  • 17
    • 0001293371 scopus 로고
    • Consistent window estimation in nonparametric regression
    • Spiegelman C., Sacks J. 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
    • 0000439528 scopus 로고
    • Consistent nonparametric regression
    • Stone C. J. Consistent nonparametric regression. Ann. Statist. 8:1977;1348-1360.
    • (1977) Ann. Statist. , vol.8 , pp. 1348-1360
    • Stone, C.J.1
  • 20
    • 0001762424 scopus 로고
    • Smooth regression analysis
    • Watson G. S. Smooth regression analysis. Sankhya Series A. 26:1964;359-372.
    • (1964) Sankhya Series a , vol.26 , pp. 359-372
    • Watson, G.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.