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Sur Les Theoremes Limites Dans Certains Espaces De Banach Lisses

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

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  • Weighted Empirical Process

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References

  1. A. de ACOSTA Exponential moments of vector valued random series and triangular arrays. Ann. Prob. 8, p. 381–389 (1980).

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. A. de ACOSTA Inequalities for B-valued random vectors with applications to the strong law of large numbers. Ann. Prob. 9, p. 157–161 (1981).

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. A. de ACOSTA, J. KUELBS Some results on the cluster set \(C(\{ \frac{{{}^sn}}{{{}^an}}\} )\) and the LIL. Preprint (1982).

    Google Scholar 

  4. S.A. CHOBANJAN V.I. TARIELADZE A counter example concerning CLT in Banach spaces. Probability theory on vector spaces. Lecture Notes in Math. 656, p. 25–30 (1978).

    CrossRef  Google Scholar 

  5. J. DIESTEL Geometry of Banach spaces — Selected topics. Lecture Notes in Math.485 (1975).

    Google Scholar 

  6. W. FELLER A limit theorem for random variables with infinite moments. Amer. J. Math. 68, p. 257–262 (1946).

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. X. FERNIQUE Les vecteurs aléatoires gaussiens à valeurs dans les espaces de Banach à norme régulière. C.R. Acad. Sci. Paris 294, Série I, p. 317–319 (1982).

    MathSciNet  MATH  Google Scholar 

  8. T. FIGIEL On the moduli of convexity and smoothness. Studia Math. 56, p. 121–155 (1976).

    MathSciNet  MATH  Google Scholar 

  9. T. FIGIEL, G. PISIER Séries aléatoires dans les espaces uniformément convexes ou uniformément lisses. C.R. Acad. Sci. Paris 279, Série A, p. 611–614 (1974).

    MathSciNet  MATH  Google Scholar 

  10. R. FORTET, E. MOURIER Les fonctions aléatoires comme éléments aléatoires dans les espaces de Banach. Studia Math. 15, p. 62–79 (1955).

    MathSciNet  MATH  Google Scholar 

  11. E. GINE, J.ZINN Central limit theorems and weak laws of large numbers in certain Banach spaces. Preprint (1981).

    Google Scholar 

  12. V. GOODMAN Growth rates for sums of i.i.d. Hilbert space valued random variables. Probability in Banach spaces III. Lecture Notes in Math. 860, p. 153–175 (1981).

    CrossRef  Google Scholar 

  13. V. GOODMAN, J. KUELBS, J. ZINN Some results on the law of the iterated logarithm in Banach space with applications to weighted empirical processes. Ann. Prob. 9, p. 713–752 (1981).

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. B. HEINKEL Relation entre théorème central-limite et loi du logarithme itéré dans les espaces de Banach. Z. Wahr. verw. Geb. 49, p. 211–220 (1979).

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. J. HOFFMANN-JØRGENSEN On the modulus of smoothness and the Gα-conditions in B-spaces. Aarhus Preprint Series 1974–75 no 2.

    Google Scholar 

  16. J. KUELBS, J. ZINN Some results on LIL behavior. Preprint (1981).

    Google Scholar 

  17. M. LEDOUX La loi du logarithme itéré bornée dans les espaces de Banach. Séminaire de Probabilités XV. Lecture Notes in Math. 850, p. 11–37 (1981).

    CrossRef  MathSciNet  Google Scholar 

  18. M. LEDOUX La loi du logarithme itéré pour les variables aléatoires prégaussiennes à valeurs dans les espaces de Banach à norme régulière. Séminaire de Probabilités XVI. Lecture Notes in Math. 920, p. 609–622 (1982).

    CrossRef  MathSciNet  MATH  Google Scholar 

  19. M. LEDOUX La loi du logarithme itéré dans les espaces Lp (2≤p<∞). C.R. Acad. Sci. Paris 294, Série I, p. 321–324 (1982).

    MathSciNet  MATH  Google Scholar 

  20. J. LINDENSTRAUSS L. TZAFRIRI Classical Banach spaces II. Springer, Berlin (1979).

    CrossRef  MATH  Google Scholar 

  21. G. PISIER Le théorème de la limite centrale et la loi du logarithme itéré dans les espaces de Banach. Séminaire Maurey-Schwartz 1975–76, exposés 3 et 4 (1975).

    Google Scholar 

  22. G. PISIER, J. ZINN On the limit theorems for random variables with values in the spaces Lp (2≤p<∞). Z. Wahr. verw. Geb. 41, p. 289–304 (1978).

    CrossRef  MathSciNet  MATH  Google Scholar 

  23. W.F. STOUT Almost sure convergence. Academic Press, New-York (1974).

    MATH  Google Scholar 

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© 1983 Springer-Verlag

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Ledoux, M. (1983). Sur Les Theoremes Limites Dans Certains Espaces De Banach Lisses. 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/BFb0064269

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  • DOI: https://doi.org/10.1007/BFb0064269

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