La loi du logarithme itéré bornée dans les espaces de Banach

Michel Ledoux

Séminaire de probabilités de Strasbourg (1981)

  • Volume: 15, page 11-37

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Ledoux, Michel. "La loi du logarithme itéré bornée dans les espaces de Banach." Séminaire de probabilités de Strasbourg 15 (1981): 11-37. <http://eudml.org/doc/113316>.

@article{Ledoux1981,
author = {Ledoux, Michel},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {law of the iterated logarithm; type 2 Banach spaces; almost sure convergence},
language = {fre},
pages = {11-37},
publisher = {Springer - Lecture Notes in Mathematics},
title = {La loi du logarithme itéré bornée dans les espaces de Banach},
url = {http://eudml.org/doc/113316},
volume = {15},
year = {1981},
}

TY - JOUR
AU - Ledoux, Michel
TI - La loi du logarithme itéré bornée dans les espaces de Banach
JO - Séminaire de probabilités de Strasbourg
PY - 1981
PB - Springer - Lecture Notes in Mathematics
VL - 15
SP - 11
EP - 37
LA - fre
KW - law of the iterated logarithm; type 2 Banach spaces; almost sure convergence
UR - http://eudml.org/doc/113316
ER -

References

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  1. [1] Bauer H. : Probability theory and elements of measure theory. Holt, Rinehart and Winston, New York (1972). Zbl0243.60004
  2. [2] Chung K.L. : A course in probability theory (second edition). Academic Press, New York (1974). Zbl0345.60003MR346858
  3. [3] Goodman V., Kuelbs J., Zinn J. : Some results on the law of the iterated ldgarithm in Banach space with applications to weighted empirical processes (1980) ; (à paraître dans les Annales de Probabilités). Zbl0472.60004MR704541
  4. [4] Heinkel B. : Relation entre théorème central-limite et loi du logarithme itéré dans les espaces de Banach. Z. Wahrscheinlichkeitstheorie49, 211-220 (1979). Zbl0397.60018MR543994
  5. [5] Hoffmann-Jørgensen J. : Ecole d'été de Probabilités de Saint-Flour, VI, 1976Lecture Notes in Math., 598, Berlin-Heidelberg-New York : Springer1977. Zbl0348.00009MR443008
  6. [6] Kuelbs J. : A counterexample for Banach space valued random variables. The Annals of Probability1976, vol. 4, 684-689. Zbl0364.60029MR451326
  7. [7] Kuelbs J. : Kolmogorov law of the iterated logarithm for Banach space valued random variables. Illinois J. Math.21-4, 784-800 (1977). Zbl0392.60010MR455061
  8. [8] Kuelbs J., Zinn J. : Some additional stability results for vector-valued random variables. Preprint (1980). Zbl0516.60013
  9. [9]. Pisier G. : Le théorème de la limite centrale et la loi du logarithme itéré dans les espaces de Banach. Séminaire Maurey-Schwartz1975-76, exposés 3 et 4 . Zbl0403.60011MR517349

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