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Volumn 67, Issue 2, 1997, Pages 195-211

Uniform large and moderate deviations for functional empirical processes

Author keywords

Empirical process; Large deviations; Law of the iterated logarithm; Moderate deviations

Indexed keywords


EID: 0031574852     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(97)00006-9     Document Type: Article
Times cited : (21)

References (15)
  • 1
    • 0001748544 scopus 로고
    • Large deviations and stochastic homogenization
    • P. Baldi, Large deviations and stochastic homogenization, Ann. Mat. Pura Appl. 151 (1988) 161-177.
    • (1988) Ann. Mat. Pura Appl. , vol.151 , pp. 161-177
    • Baldi, P.1
  • 3
    • 0001439771 scopus 로고
    • Projective systems in large deviation theory II: Some applications
    • Birkhäuser, Boston
    • A. De Acosta, Projective systems in large deviation theory II: some applications, in: Probability in Banach Spaces, Vol. 9 (Birkhäuser, Boston, 1993) 241-250.
    • (1993) Probability in Banach Spaces , vol.9 , pp. 241-250
    • De Acosta, A.1
  • 4
    • 58149365339 scopus 로고
    • Large deviations: From empirical mean and measure to partial sums process
    • A. Dembo and T. Zajic, Large deviations: from empirical mean and measure to partial sums process, Stochastic Process. Appl. 57 (1995) 191-224.
    • (1995) Stochastic Process. Appl. , vol.57 , pp. 191-224
    • Dembo, A.1    Zajic, T.2
  • 8
    • 0000886320 scopus 로고
    • Comparison theorems, random geometry and some limit theorems for empirical processes
    • M. Ledoux and M. Talagrand, Comparison theorems, random geometry and some limit theorems for empirical processes, Ann. Probab. 17 (1989) 596-631.
    • (1989) Ann. Probab. , vol.17 , pp. 596-631
    • Ledoux, M.1    Talagrand, M.2
  • 10
    • 0001684239 scopus 로고
    • Large deviations for trajectories of multidimensional random walks
    • A.A. Mogulskii, Large deviations for trajectories of multidimensional random walks, Theory Probab. Appl. 21 (1976) 300-315.
    • (1976) Theory Probab. Appl. , vol.21 , pp. 300-315
    • Mogulskii, A.A.1
  • 12
    • 0001957366 scopus 로고
    • Sharper bounds for Gaussian and empirical processes
    • M. Talagrand, Sharper bounds for Gaussian and empirical processes, Ann. Probab. 22 (1994) 28-76.
    • (1994) Ann. Probab. , vol.22 , pp. 28-76
    • Talagrand, M.1
  • 13
    • 0001551866 scopus 로고
    • Functional laws of the iterated logarithm for the partial sums of i.i.d. random variables in the domain of attraction of a completely asymmetric stable law
    • M. Wichura, Functional laws of the iterated logarithm for the partial sums of i.i.d. random variables in the domain of attraction of a completely asymmetric stable law, Ann. Probab. 2 (1974) 1108-1138.
    • (1974) Ann. Probab. , vol.2 , pp. 1108-1138
    • Wichura, M.1
  • 14
    • 0002338279 scopus 로고
    • Large deviations, moderate deviations and LIL for empirical processes
    • L. Wu, Large deviations, moderate deviations and LIL for empirical processes, Ann. Probab. 22 (1994) 17-27.
    • (1994) Ann. Probab. , vol.22 , pp. 17-27
    • Wu, L.1
  • 15
    • 0010897376 scopus 로고
    • The law of the iterated logarithm for empirical processes
    • Birkhäuser, Boston
    • J. Yukich, The law of the iterated logarithm for empirical processes, in: Probability in Banach Spaces, Vol. 6 (Birkhäuser, Boston, 1990) 265-282.
    • (1990) Probability in Banach Spaces , vol.6 , pp. 265-282
    • Yukich, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.