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Volumn 24, Issue 6, 1996, Pages 2513-2523

Consistency for the least squares estimator in nonparametric regression

Author keywords

Consistency; Empirical process; Entropy; Glivenko cantelli classes; Least squares estimation; Regression

Indexed keywords


EID: 0030335134     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1032181165     Document Type: Article
Times cited : (22)

References (7)
  • 1
    • 0006531393 scopus 로고
    • A new approach to least squares estimation, with applications
    • GEER, S. VAN DE (1987). A new approach to least squares estimation, with applications. Ann. Statist. 15 587-602.
    • (1987) Ann. Statist. , vol.15 , pp. 587-602
    • Van De Geer, S.1
  • 2
    • 0000145024 scopus 로고
    • Some limit theorems for empirical processes
    • GINÉ, E. and ZINN, J. (1984). Some limit theorems for empirical processes. Ann. Probab. 12 929-989.
    • (1984) Ann. Probab. , vol.12 , pp. 929-989
    • Giné, E.1    Zinn, J.2
  • 3
    • 84947403595 scopus 로고
    • Probability inequalities for sums of bounded random variables
    • HOEFFDING, W. (1963). Probability inequalities for sums of bounded random variables. J. Amer. Statist. Assoc. 58 13-30.
    • (1963) J. Amer. Statist. Assoc. , vol.58 , pp. 13-30
    • Hoeffding, W.1
  • 4
    • 0000624821 scopus 로고
    • ε-entropy and ε-capacity of sets in functional spaces
    • KOLMOGOROV, A. N. and TIHOMIROV, V. M. (1959). ε-entropy and ε-capacity of sets in functional spaces. Trans. Amer. Math. Soc. 17 277-364.
    • (1959) Trans. Amer. Math. Soc. , vol.17 , pp. 277-364
    • Kolmogorov, A.N.1    Tihomirov, V.M.2
  • 7
    • 0000480451 scopus 로고
    • Asymptotic theory of nonlinear least squares estimation
    • WU, C. F. (1981). Asymptotic theory of nonlinear least squares estimation. Ann. Statist. 9 501-513.
    • (1981) Ann. Statist. , vol.9 , pp. 501-513
    • Wu, C.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.