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The non-existence of a Universal multiplier moment for the central limit theorem

  • Kenneth S. Alexander
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1153)

Keywords

Banach Space Positive Integer Personal Communication Stochastic Process Probability Theory 
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.

References

  1. Araujo, A. and Giné, E. (1980). The Central Limit Theorem for Real and Banach Valued Random Variables. Wiley, New York.zbMATHGoogle Scholar
  2. Durst, M. and Dudley, R.M. (1981). Empirical processes, Vapnik-Červonenkis classes and Poisson processes. Prob. Math. Statist. (Wroclaw) 1 no. 2, 109–115.MathSciNetzbMATHGoogle Scholar
  3. Giné, E. and Zinn, J. (1984). Some limit theorems for empirical processes. Ann. Probability 12, 929–989.MathSciNetCrossRefzbMATHGoogle Scholar
  4. LeDoux, M. and Talagrand, M. (1984). Conditions d’intégrabilité pour les multiplicateurs dans les TLC Banachique. Preprint.Google Scholar
  5. Marczewski, E. and Sikorski, P. (1948). Measures in nonseparable metric spaces. Colloq. Math. 1, 133–139.MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Kenneth S. Alexander
    • 1
  1. 1.Department of MathematicsUniversity of WashingtonSeattle

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