La loi des grands nombres de Prokhorov dans les espaces de type p

Jean-Christian Alt

Annales de l'I.H.P. Probabilités et statistiques (1987)

  • Volume: 23, Issue: 4, page 561-574
  • ISSN: 0246-0203

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Alt, Jean-Christian. "La loi des grands nombres de Prokhorov dans les espaces de type $p$." Annales de l'I.H.P. Probabilités et statistiques 23.4 (1987): 561-574. <http://eudml.org/doc/77304>.

@article{Alt1987,
author = {Alt, Jean-Christian},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Prokhorov's law of large numbers; Banach space},
language = {fre},
number = {4},
pages = {561-574},
publisher = {Gauthier-Villars},
title = {La loi des grands nombres de Prokhorov dans les espaces de type $p$},
url = {http://eudml.org/doc/77304},
volume = {23},
year = {1987},
}

TY - JOUR
AU - Alt, Jean-Christian
TI - La loi des grands nombres de Prokhorov dans les espaces de type $p$
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1987
PB - Gauthier-Villars
VL - 23
IS - 4
SP - 561
EP - 574
LA - fre
KW - Prokhorov's law of large numbers; Banach space
UR - http://eudml.org/doc/77304
ER -

References

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  1. [1] A. de Acosta, Inequalities for B Valued Random Vectors with Applications to the Strong Law of Large Numbers, Ann. Probability, vol. 9, 1981, p. 157-161. Zbl0449.60002MR606806
  2. [2] X. Fernique, Régularité des trajectoires des fonctions aléatoires gaussiennes, Lecture Notes in Math., n° 480, 1975, p. 1-96, Springer, Berlin. Zbl0331.60025MR413238
  3. [3] B. Heinkel, Une extension de la loi des grands nombres de Prokhorov, Z. Wahr. verw. Gebiete, vol. 67, 1984, p. 349-362. Zbl0535.60011MR762086
  4. [4] B. Heinkel, An Application of a Martingale Inequality of Dubins and Freedman to the Law of Large Numbers in Banach Spaces, Lecture Notes in Math., vol. 1193, 1986, p. 29-43, Springer, Berlin. Zbl0594.60008MR855850
  5. [5] J. Kuelbs et J. Zinn, Some Stability Results for Vector Valued Random Variables, Ann. Probability, vol. 7, 1979, p. 75-84. Zbl0399.60007MR515814
  6. [6] M. Ledoux, Gaussian Randomisation and the Law of the Iterated Logarithm in Type 2 Banach Spaces, Preprint, 1985. MR791100
  7. [7] Y. Prokhorov, Some Remarks on the Srong Law of Large Numbers, Th. Prob. Appl., vol. 4, 1959, p. 204-208. Zbl0089.13903MR121858
  8. [8] W.F. Stout, Almost Sure Convergence, Academic Press, New York, 1974. Zbl0321.60022MR455094

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