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L p multipliers in the central limit theorem with p-stable limit

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1391)

Keywords

  • Banach Space
  • Central Limit Theorem
  • Separable Banach Space
  • Bernoulli Random Variable
  • Dimensional Banach Space

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References

  1. Giné, E. and Zinn, J. (1983). Central limit theorems and weak laws of large numbers in certain Banach spaces. Zeits. Wahrs. v. Geb. 62, 323–354.

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

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  3. Giné, E.; Marcus, M.B.; and Zinn, J. (1987). On random multipliers in the central limit theorem with p-stable limit, 0<p<2. Proceedings of the VI-th International Conference of Probability in Banach Spaces, Sondeborg 1986, to appear.

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  4. Ledoux, M. (1985). Sur une inegalité de H.P. Rosenthal et le théorème limite central dans les espaces de Banach. Israel J. Math. 50, 290–318.

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  7. Pisier, G. (1976). Le théorème de la limite centrale et la loi du logarithme iteré dans les espaces de Banach. Séminaire Maurey-Schwartz 1975–76, Exposés III et IV. Ecole Polytechnique, Paris.

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  8. Pisier, G. and Zinn, J. (1977). On the limit theorems for random variables with values in the spaces L p (2≤p<∞). Zeits. Wahrs. v. Geb. 41, 289–304.

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© 1989 Springer-Verlag

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Giné, E., Zinn, J. (1989). L p multipliers in the central limit theorem with p-stable limit. In: Cambanis, S., Weron, A. (eds) Probability Theory on Vector Spaces IV. Lecture Notes in Mathematics, vol 1391. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083382

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  • DOI: https://doi.org/10.1007/BFb0083382

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51548-7

  • Online ISBN: 978-3-540-48244-4

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