Skip to main content

Majorizing measures and limit theorems for co-valued random variables

  • Conference paper
  • First Online:
Probability in Banach Spaces IV

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

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  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.

    Article  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.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  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.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  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 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Anatole Beck Konrad Jacobs

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

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

Download citation

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

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12295-1

  • Online ISBN: 978-3-540-39870-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics