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

Part of the Lecture Notes in Mathematics book series (LNM,volume 1153)

Keywords

  • Banach Space
  • Positive Integer
  • Personal Communication
  • Stochastic Process
  • Probability Theory

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References

  • Araujo, A. and Giné, E. (1980). The Central Limit Theorem for Real and Banach Valued Random Variables. Wiley, New York.

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  • Durst, M. and Dudley, R.M. (1981). Empirical processes, Vapnik-Červonenkis classes and Poisson processes. Prob. Math. Statist. (Wroclaw) 1 no. 2, 109–115.

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  • Giné, E. and Zinn, J. (1984). Some limit theorems for empirical processes. Ann. Probability 12, 929–989.

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  • LeDoux, M. and Talagrand, M. (1984). Conditions d’intégrabilité pour les multiplicateurs dans les TLC Banachique. Preprint.

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  • Marczewski, E. and Sikorski, P. (1948). Measures in nonseparable metric spaces. Colloq. Math. 1, 133–139.

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© 1985 Springer-Verlag

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Alexander, K.S. (1985). The non-existence of a Universal multiplier moment for the central limit theorem. In: Beck, A., Dudley, R., Hahn, M., Kuelbs, J., Marcus, M. (eds) Probability in Banach Spaces V. Lecture Notes in Mathematics, vol 1153. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074943

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  • DOI: https://doi.org/10.1007/BFb0074943

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15704-5

  • Online ISBN: 978-3-540-39645-1

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