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Volumn 24, Issue 4, 1996, Pages 2128-2140

New Donsker classes

Author keywords

Bracketing number; Covering number; Donsker class; Empirical central limit theorem; Entropy

Indexed keywords


EID: 0030353887     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1041903221     Document Type: Article
Times cited : (42)

References (20)
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  • 2
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    • The central limit theorem for stochastic processes
    • ANDERSEN, N. T. and DOBRIĆ, V. (1987). The central limit theorem for stochastic processes. Ann. Probab. 15 164-177.
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  • 3
    • 0001666999 scopus 로고
    • Limit theorems for U-processes
    • ARCONES, M. A. and GINÉ, E. (1993). Limit theorems for U-processes. Ann. Probab. 21 1494-1542.
    • (1993) Ann. Probab. , vol.21 , pp. 1494-1542
    • Arcones, M.A.1    Giné, E.2
  • 7
    • 0001151383 scopus 로고
    • An extended Wichura theorem, definitions of Donsker classes, and weighted empirical processes
    • Springer, New York
    • DUDLEY, R. M. (1985). An extended Wichura theorem, definitions of Donsker classes, and weighted empirical processes. In Probability in Banach Spaces V Lecture Notes in Math. 1153 141-178. Springer, New York.
    • (1985) Probability in Banach Spaces V Lecture Notes in Math. , vol.1153 , pp. 141-178
    • Dudley, R.M.1
  • 8
    • 0001605679 scopus 로고
    • Universal Donsker classes and metric entropy
    • DUDLEY, R. M. (1987). Universal Donsker classes and metric entropy. Ann. Probab. 15 1306-1326.
    • (1987) Ann. Probab. , vol.15 , pp. 1306-1326
    • Dudley, R.M.1
  • 9
    • 0039075851 scopus 로고
    • Nonlinear functional of empirical measures and the bootstrap
    • (E. Eberlein, J. Kuelbs and M. Marcus, eds.) Birkhäuser, Boston
    • DUDLEY, R. M. (1990). Nonlinear functional of empirical measures and the bootstrap. In Probability in Banach Spaces VII (E. Eberlein, J. Kuelbs and M. Marcus, eds.) 63-82. Birkhäuser, Boston.
    • (1990) Probability in Banach Spaces VII , pp. 63-82
    • Dudley, R.M.1
  • 12
    • 0002501936 scopus 로고
    • Lectures on the central limit theorem for empirical processes
    • Springer, New York
    • GINÉ, E. and ZINN, J. (1986a). Lectures on the central limit theorem for empirical processes. Probability and Banach Spaces Lecture Notes in Math. 1221 50-113. Springer, New York.
    • (1986) Probability and Banach Spaces Lecture Notes in Math. , vol.1221 , pp. 50-113
    • Giné, E.1    Zinn, J.2
  • 13
    • 0001678367 scopus 로고
    • Empirical processes indexed by Lipschitz functions
    • GINÉ, E. and ZINN, J. (1986b). Empirical processes indexed by Lipschitz functions. Ann. Probab. 14 1329-1338.
    • (1986) Ann. Probab. , vol.14 , pp. 1329-1338
    • Giné, E.1    Zinn, J.2
  • 14
    • 0001315354 scopus 로고
    • Cube root asymptotics
    • KIM, J. and POLLARD, D. (1990). Cube root asymptotics. Ann. Statist. 18 191-219.
    • (1990) Ann. Statist. , vol.18 , pp. 191-219
    • Kim, J.1    Pollard, D.2
  • 15
    • 0000624821 scopus 로고
    • Epsilon-entropy and epsilon-capacity of sets in function spaces
    • KOLMOGOROV, A. N. and TIKHOMIROV, V. M. (1961). Epsilon-entropy and epsilon-capacity of sets in function spaces. Amer. Math. Soc. Transl. Ser. 2 17 277-364.
    • (1961) Amer. Math. Soc. Transl. Ser. , vol.2 , Issue.17 , pp. 277-364
    • Kolmogorov, A.N.1    Tikhomirov, V.M.2
  • 18
    • 84974270535 scopus 로고
    • A central limit theorem for empirical processes
    • POLLARD, D. (1982). A central limit theorem for empirical processes. J. Austral. Math. Soc. Ser. A 33 235-248.
    • (1982) J. Austral. Math. Soc. Ser. A , vol.33 , pp. 235-248
    • Pollard, D.1
  • 20
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    • Measurability problems for empirical processes
    • TALAGRAND, M. (1987). Measurability problems for empirical processes. Ann. Probab. 15 204-221.
    • (1987) Ann. Probab. , vol.15 , pp. 204-221
    • Talagrand, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.