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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)

Keywords

Banach Space Iterate Logarithm Separable Banach Space Independent Copy Independent Sequence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  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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