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Volumn 9, Issue 3, 1996, Pages 679-701

The law of the iterated logarithm and Marcinkiewicz law of large numbers for B-valued U-statistics

Author keywords

B U statistics; Decoupling inequality; Law of large numbers; Law of the iterated logarithm

Indexed keywords


EID: 21344474612     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02214082     Document Type: Article
Times cited : (3)

References (11)
  • 1
    • 0000670435 scopus 로고
    • Inequalities for B-valued random variables with applications to the strong law of large numbers
    • de Acosta, A. (1981). Inequalities for B-valued random variables with applications to the strong law of large numbers. Ann. Prob. 9, 157-161.
    • (1981) Ann. Prob. , vol.9 , pp. 157-161
    • De Acosta, A.1
  • 2
    • 0000206992 scopus 로고
    • Limits of canonical U-processes and B-valued U-statistics
    • Arcones, M. A. (1994). Limits of canonical U-processes and B-valued U-statistics. J. Theor. Prob. 7, 339-349.
    • (1994) J. Theor. Prob. , vol.7 , pp. 339-349
    • Arcones, M.A.1
  • 3
    • 0001666999 scopus 로고
    • Limit theorems for U-processes
    • Arcones, M. A., and Giné, E. (1993). Limit theorems for U-processes. Ann. Prob. 21, 1494-1542.
    • (1993) Ann. Prob. , vol.21 , pp. 1494-1542
    • Arcones, M.A.1    Giné, E.2
  • 4
    • 0001436898 scopus 로고
    • Marcinkiewicz type law of large numbers and convergence of moments for U-statistics
    • Birkhäuser, Boston
    • Giné, E., and Zinn, J. (1992a). Marcinkiewicz type law of large numbers and convergence of moments for U-statistics. In Probability in Banach Spaces, Birkhäuser, Boston, 8, 273-291.
    • (1992) Probability in Banach Spaces , vol.8 , pp. 273-291
    • Giné, E.1    Zinn, J.2
  • 5
    • 0041028537 scopus 로고
    • On Hoffmann-Jorgensen's inequality for U-processes
    • Birkhäuser, Boston
    • Giné, E., and Zinn, J. (1992). On Hoffmann-Jorgensen's inequality for U-processes. In Probability in Banach Spaces, Birkhäuser, Boston, 8, 80-91.
    • (1992) Probability in Banach Spaces , vol.8 , pp. 80-91
    • Giné, E.1    Zinn, J.2
  • 6
    • 0001140647 scopus 로고
    • A remark on convergence in distribution of U-statistics
    • Giné, E., and Zinn, J. (1994). A remark on convergence in distribution of U-statistics. Ann. Prob. 22, 117-125.
    • (1994) Ann. Prob. , vol.22 , pp. 117-125
    • Giné, E.1    Zinn, J.2
  • 9
    • 0000509434 scopus 로고
    • Decoupling and Khintchine's inequalities for U-statistics
    • de la Peña, V. H. (1992). Decoupling and Khintchine's inequalities for U-statistics. Ann. Prob. 20, 1877-1892.
    • (1992) Ann. Prob. , vol.20 , pp. 1877-1892
    • De La Peña, V.H.1
  • 10
    • 84967710235 scopus 로고
    • Bounds on tail probability of U-statistics and quadratic forms
    • de la Peña, V. H., and Montgomery-Smith, S. J. (1994). Bounds on tail probability of U-statistics and quadratic forms. Bull. Amer. Math. Soc. 31, 223-227.
    • (1994) Bull. Amer. Math. Soc. , vol.31 , pp. 223-227
    • De La Peña, V.H.1    Montgomery-Smith, S.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.