The law of the iterated logarithm in the ℓp spaces

  • Michael Klass
  • James Kuelbs
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1153)


Banach Space Iterate Logarithm Separable Banach Space Independent Copy Independent Sequence 
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  1. [1]
    Acosta, A. de and Kuelbs, J. (1983). Some results on the cluster set C({Sn/an}) and the LIL. Ann. Probability 11, pp. 102–122.CrossRefzbMATHGoogle Scholar
  2. [2]
    Acosta, A. de, Kuelbs, J. and Ledoux M. An inequality for the law of the iterated logarithm. Lecture Notes in Mathematics, 990, pp. 1–29.Google Scholar
  3. [3]
    Burkholder, D. L. (1966). Martingale transforms, Ann. Math. Statist. 37, pp. 1494–1504.MathSciNetCrossRefzbMATHGoogle Scholar
  4. [4]
    Kuelbs, J. (1977). Kolmogorov’s law of the iterated logarithm for Banach space valued random variables. Illinois J. Math. 21, pp. 784–800.MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Michael Klass
    • 1
  • James Kuelbs
    • 2
  1. 1.Department of StatisticsUniversity of CaliforniaBerkeley
  2. 2.Department of MathematicsUniversity of WisconsinMadison

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