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Majorizing measures and limit theorems for co-valued random variables

Part of the Lecture Notes in Mathematics book series (LNM,volume 990)

Keywords

  • Banach Space
  • Limit Theorem
  • Canonical Basis
  • Iterate Logarithm
  • Separable Banach Space

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References

  1. P. BILLINGSLEY (1968): Convergence of probability measures. Wiley, New York.

    MATH  Google Scholar 

  2. S.A. CHOBANJAN (1982): private communication.

    Google Scholar 

  3. S.A. CHOBANJAN, V.I. TARIELADZE (1977): Gaussian characterizations of certain Banach spaces. J. Multivariate Analysis 7, 183–203.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. B. HEINKEL (1977): Mesures majorantes et théorème de la limite centrale dans C(S). Z. Wahrscheinlichkeitstheorie 38, 339–351.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. B. HEINKEL (1980): Deux exemples d'utilisation de mesures majorantes. Séminaire de Probabilités 14, Lecture Notes in Math. 784, 1–16.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. B. HEINKEL (1981): Mesures majorantes et régularité de fonctions aléatoires.-Colloques internationaux du CNRS no 307-Aspects statistiques et aspects physiques des processus gaussiens. 407–434.

    Google Scholar 

  7. J. KUELBS (1976): A strong convergence theorem for Banach space valued random variables. Ann. Prob. 4, 744–771.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. J. KUELBS (1976): A counterexample for Banach space valued random variables Ann. Prob. 4, 684–689.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. J. KUELBS (1977): Kolmogorov law of the iterated logarithm for Banach space valued random variables. Ill. J. of Maths 21, 784–800.

    MathSciNet  MATH  Google Scholar 

  10. J. KUELBS (1981): When is the cluster set of Sn/an empty? Ann. Prob. 9, 377–394.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. M. LEDOUX (1982): Loi du logarithme itéré dans C(S) et fonction caractéristique empirique. Z. Wahrscheinlichkeitstheorie 60, 425–435.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. V. PAULAUSKAS (1980): On the central limit theorem in the Banach space co. Soviet. Math. Dokl. 22-2, 349–351.

    MathSciNet  MATH  Google Scholar 

  13. V. PAULAUSKAS, A. RACKAUSKAS, V. SAKALAUSKAS (1982): On the CLT in the space of sequences converging to zero. To appear in Lietuvos matem. rink 23,1 (1983).

    Google Scholar 

  14. G. PISIER (1975): Le théorème de la limite centrale et la loi du logarithme itéré dans les espaces de Banach. Séminaire Maurey-Schwartz 1975–76. Ecole Polytechnique. Exposés no 3 et 4.

    Google Scholar 

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© 1983 Springer-Verlag

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Heinkel, B. (1983). Majorizing measures and limit theorems for co-valued random variables. In: Beck, A., Jacobs, K. (eds) Probability in Banach Spaces IV. Lecture Notes in Mathematics, vol 990. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064268

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  • DOI: https://doi.org/10.1007/BFb0064268

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12295-1

  • Online ISBN: 978-3-540-39870-7

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