Skip to main content
SpringerLink
Log in

Une forme générale de la loi forte des grands nombres pour des variables aléatoires vectorielles

  • Conference paper
  • First Online:
Probability Theory on Vector Spaces IV

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

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
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.

Références

  1. De Acosta A.: Inequalities for B valued random vectors with applications to the strong law of large numbers, Ann. Prob., 9 (1981), 157–161.

    Article  MathSciNet  MATH  Google Scholar 

  2. Alt J.C.: La loi des grands nombres de Prokhorov dans les espaces de type p, à paraître dans les Annales de l'Institut Henri Poincaré.

    Google Scholar 

  3. Alt J.C.: Sur le comportement asymptotique presque sûr des sommes de variables aléatoires à valeurs vectorielles, Annales Scientifiques de l'Université de Clermont, 90 (1987), 3–24.

    MathSciNet  MATH  Google Scholar 

  4. Heinkel B.: Une extension de la loi des grands nombrers de Prokhorov, Z. Wahr. verw. Gebiete, 67 (1984), 349–362.

    Article  MathSciNet  MATH  Google Scholar 

  5. Kuelbs J. et Zinn J.: Some stability results for vector valued random variables, Ann. Prob. 7 (1979), 75–84.

    Article  MathSciNet  MATH  Google Scholar 

  6. Ledoux M.: Gaussian randomization and the law of the iterated logarithm in type 2 Banach spaces, Preprint (1985).

    Google Scholar 

  7. Ledoux M. et Talagrand M.: Comparison theorems, random geometry and some limit theorems for empirical processes, à paraître dans Annals of Probability.

    Google Scholar 

  8. Mourier E.: Eléments aléatoires dans un espace de Banach, Ann. Inst. Poincaré, 13 (1953), 161–244.

    MathSciNet  MATH  Google Scholar 

  9. Prokhorov You. V.: Some remarks on the strong law of large numbers, Theor. Prob. Appl., 4 (1959), 204–208.

    Article  MathSciNet  MATH  Google Scholar 

  10. Stout W.F.: Almost sure convergence, Academic Press, New-York, 1974.

    MATH  Google Scholar 

  11. Talagrand M.: Isoperimetry and integrability of the sum of independant Banach-spaces valued random variables, à paraître dans Annals of Probability.

    Google Scholar 

  12. Talagrand M.: An isoperimetric theorem on the cube and the Khintchin-Kahane inequalities, à paraître dans Proc. Amer. Math. Soc.

    Google Scholar 

  13. Wittmann R.: A general law of the iterated logarithm, Z. Wahrs. verw. Gebiete, 68 (1985), 521–543.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. U.E.R de Mathématiques, 7, rue René Descartes, 67084, Strasbourg Cédex

    Jean-Christian Alt

Authors
  1. Jean-Christian Alt
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Stamatis Cambanis Aleksander Weron

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag

About this paper

Cite this paper

Alt, JC. (1989). Une forme générale de la loi forte des grands nombres pour des variables aléatoires vectorielles. 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/BFb0083375

Download citation

  • DOI: https://doi.org/10.1007/BFb0083375

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51548-7

  • Online ISBN: 978-3-540-48244-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation