메뉴 건너뛰기




Volumn 31, Issue 3, 1997, Pages 177-183

On the strong universal consistency of a recursive regression estimate by Pál Révész

Author keywords

Integrated squared error; Kernel estimation; Recursion; Regression estimate; Strong universal consistency

Indexed keywords


EID: 0031574624     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(96)00030-2     Document Type: Article
Times cited : (20)

References (7)
  • 1
    • 0001244757 scopus 로고
    • On the almost everywhere convergence of nonparametric regression function estimates
    • Devroye, L. (1981), On the almost everywhere convergence of nonparametric regression function estimates, Ann. Statist. 9, 1310-1319.
    • (1981) Ann. Statist. , vol.9 , pp. 1310-1319
    • Devroye, L.1
  • 2
    • 21844511932 scopus 로고
    • On the strong universal consistency of nearest neighbor regression function estimates
    • Devroye, L., L. Györfi, A. Krzyzak and G. Lugosi (1994), On the strong universal consistency of nearest neighbor regression function estimates, Ann. Statist. 22, 1371-1385.
    • (1994) Ann. Statist. , vol.22 , pp. 1371-1385
    • Devroye, L.1    Györfi, L.2    Krzyzak, A.3    Lugosi, G.4
  • 3
    • 0003094495 scopus 로고
    • Necessary and sufficient consistency conditions for a recursive kernel regression estimate
    • Grebhcki, W. and M. Pawlak (1987), Necessary and sufficient consistency conditions for a recursive kernel regression estimate, J. Multivariate Anal. 23, 67-76.
    • (1987) J. Multivariate Anal. , vol.23 , pp. 67-76
    • Grebhcki, W.1    Pawlak, M.2
  • 4
    • 0019437150 scopus 로고
    • Recent results on nonparametric regression estimate and multiple classification
    • Györfi, L. (1981), Recent results on nonparametric regression estimate and multiple classification, Probl. Control Inform. Theory 10, 43-52.
    • (1981) Probl. Control Inform. Theory , vol.10 , pp. 43-52
    • Györfi, L.1
  • 5
    • 0000618559 scopus 로고
    • Robbins-monro procedure in a hilbert space and its application in the theory of learning processes I
    • Révész, P. (1973), Robbins-Monro procedure in a Hilbert space and its application in the theory of learning processes I., Studia Sci. Math. Hungar. 8, 391-398.
    • (1973) Studia Sci. Math. Hungar. , vol.8 , pp. 391-398
    • Révész, P.1
  • 6
    • 0002686402 scopus 로고
    • A convergence theorem for nonnegative almost supermartingales and some applications
    • J.S. Rustagi, ed., (Academic Press, New York), pp.
    • Robbins, H. and D. Siegmund (1971), A convergence theorem for nonnegative almost supermartingales and some applications, in: J.S. Rustagi, ed., Optimizing Methods in Statistics (Academic Press, New York), pp. 233-257.
    • (1971) Optimizing Methods in Statistics , pp. 233-257
    • Robbins, H.1    Siegmund, D.2
  • 7
    • 0000388992 scopus 로고
    • Consistent nonparametric regression
    • Stone, C.J. (1977), Consistent nonparametric regression, Ann. Statist. 5, 595-645.
    • (1977) Ann. Statist. , vol.5 , pp. 595-645
    • Stone, C.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.