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

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Probability Theory on Vector Spaces IV

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

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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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  5. Ledoux, M. and Talagrand, M. (1986). Conditions d'integrabilité pour les multiplicateurs dans le TLC banachique. Ann. Probability 13, 916–921.

    Article  MathSciNet  MATH  Google Scholar 

  6. Maurey B. and Pisier G. (1976). Séries de variables aléatoires vectorielles independantes et proprietés géométriques des espaces de Banach. Studia Math. 58, 45–90.

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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.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Texas A&M University, 77843, College Station, TX, USA

    Evarist Giné & Joel Zinn

Authors
  1. Evarist Giné
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  2. Joel Zinn
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Stamatis Cambanis Aleksander Weron

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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

  • eBook Packages: Springer Book Archive

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