Skip to main content

Regularite et proprietes limites des fonctions aleatoires

  • Deuxieme Partie
  • Conference paper
  • First Online:
Book cover Séminaire de Probabilités XII

Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 649))

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 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.

References

  1. BERNARD P. Quelques propriétés des trajectoires des fonctions aléatoires stables sur Rk. Ann. Inst. H. Poincaré Sec. B, 6,2, (1970) pp. 131–151.

    MathSciNet  MATH  Google Scholar 

  2. BILLINGSLEY P. Convergence of probability measures. Wiley (1968).

    Google Scholar 

  3. BOULICAUT P. Fonctions de Young et fonctions aléatoires à trajectoires continues. C.R. Acad. Sci. Paris, Sér. A, 278 (1974), pp. 447–450.

    MathSciNet  MATH  Google Scholar 

  4. DUDLEY R.M. The sizes of compact subsets of Hilbert space and continuity of gaussian processes. J. Functional Anal., 1, 3, (1967), pp. 290–330.

    Article  MATH  Google Scholar 

  5. DUDLEY R.M. Sample functions of the gaussian process. Ann. of Probability, 1, (1973), pp. 66–103.

    Article  MathSciNet  MATH  Google Scholar 

  6. DUDLEY R.M. Metric entropy and the central limit theorem in C(S). Ann. Inst. Fourier, 24, 2, (1974), pp. 48–60.

    Article  MathSciNet  Google Scholar 

  7. DUDLEY R.M. et STRASSEN V. The central limit theorem and the ɛ-entropie. Lect. Notes Math., 89, (1969), pp. 224–231.

    Article  MathSciNet  Google Scholar 

  8. FERNIQUE X. Continuité des processus gaussiens. C.R. Acad. Sci. Paris, Sér. A-B, 258, (1964), pp. 6058–6060.

    MathSciNet  MATH  Google Scholar 

  9. FERNIQUE X. Intégrabilité des vecteurs gaussiens. C.R. Acad. Sci. Paris, Sér. A, 270, (1970), pp. 1698–1699.

    MathSciNet  MATH  Google Scholar 

  10. FERNIQUE X. Régularité de Processus gaussiens. Invent. Math., 12, (1971), pp. 303–320.

    Article  MathSciNet  Google Scholar 

  11. FERNIQUE X. Régularité des trajectoires des fonctions aléatoires gaussiennes. Ecole d’Eté de Probabilité de St Flour (1974). Lect. Notes Math., 480, (1975), pp. 1–96.

    Article  MathSciNet  Google Scholar 

  12. FERNIQUE X. Evaluation de processus gaussiens composés. Lect. Notes Math., 526, (1976), pp. 67–83.

    Article  MathSciNet  Google Scholar 

  13. GARSIA A. et RODEMICH E. Monotonicity of certain functionals under rearrangement. Ann. Inst. Fourier, 24, 2, (1974), pp. 67–117.

    Article  MathSciNet  MATH  Google Scholar 

  14. GARSIA A., RODEMICH E. et RUMSEY H. A real variable lemma and the continuity of paths of gaussian processes. Indiana Univ. Math. J, 20, (1971), pp. 565–578.

    Article  MathSciNet  Google Scholar 

  15. GINÉ E. On the central limit theorem for sample continuous processes. Ann. of Probability, 2, (1974), pp. 629–641.

    Article  MATH  Google Scholar 

  16. HAHN M.G. Conditions for sample-continuity and central limit theorem. (1976) à paraître dans Ann. of Probability.

    Google Scholar 

  17. HEINKEL B. Méthode des mesures majorantes et le théorème central limite dans C(S). (1976) à paraître dans Z. Wahrscheinlichkeits-theorie Verw. Gebiete.

    Google Scholar 

  18. HOFFMANN-JØRGENSEN J. et PISIER G. The strong law of large numbers and the central limit theorem in Banach spaces. Ann. of Probability, 4, (1976), pp. 587–599.

    Article  Google Scholar 

  19. JAIN N.C. et MARCUS M.B. Sufficient conditions for the continuity of stationary gaussian processes and applications to random series. Ann. Inst. Fourier, 24, 2, (1974), pp. 117–141.

    Article  MathSciNet  Google Scholar 

  20. JAIN N.C. et MARCUS M.B. Central limit theorem for C(S) — valued random variables. J. of Functional Anal., 19, (1975), pp. 216–231.

    Article  MathSciNet  MATH  Google Scholar 

  21. KRASNOSELSKY M.A. et RUTITSKY Y.B. Convex functions and Orlicz spaces. Dehli Publ. Hindustan Corp. (1962).

    Google Scholar 

  22. LOÈVE M. Probability theory. Van Nostrand, 3ème ed., (1963).

    Google Scholar 

  23. NEVEU J. Martingales à temps discret. Dunod (1972).

    Google Scholar 

  24. PRESTON C. Banach spaces arising from some integral inequalities. Indiana Univ. Math. J., 20, (1971), pp. 997–1015.

    Article  MathSciNet  MATH  Google Scholar 

  25. PRESTON C. Continuity properties of some gaussian processes. Ann. Math. Stat., 43, (1972), pp. 285–292.

    Article  MathSciNet  MATH  Google Scholar 

  26. ZINN J. A note on the central limit theorem. (1976) à paraître.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Nanopoulos, C., Nobelis, P. (1978). Regularite et proprietes limites des fonctions aleatoires. In: Dellacherie, C., Meyer, P.A., Weil, M. (eds) Séminaire de Probabilités XII. Lecture Notes in Mathematics, vol 649. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064630

Download citation

  • DOI: https://doi.org/10.1007/BFb0064630

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08761-8

  • Online ISBN: 978-3-540-35856-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics