@article{AIHPB_1992__28_2_267_0, author = {Ledoux, Michel}, title = {Sur les d\'eviations mod\'er\'ees des sommes de variables al\'eatoires vectorielles ind\'ependantes de m\^eme loi}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {267--280}, publisher = {Gauthier-Villars}, volume = {28}, number = {2}, year = {1992}, mrnumber = {1162575}, zbl = {0751.60009}, language = {fr}, url = {http://www.numdam.org/item/AIHPB_1992__28_2_267_0/} }
TY - JOUR AU - Ledoux, Michel TI - Sur les déviations modérées des sommes de variables aléatoires vectorielles indépendantes de même loi JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1992 SP - 267 EP - 280 VL - 28 IS - 2 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPB_1992__28_2_267_0/ LA - fr ID - AIHPB_1992__28_2_267_0 ER -
%0 Journal Article %A Ledoux, Michel %T Sur les déviations modérées des sommes de variables aléatoires vectorielles indépendantes de même loi %J Annales de l'I.H.P. Probabilités et statistiques %D 1992 %P 267-280 %V 28 %N 2 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPB_1992__28_2_267_0/ %G fr %F AIHPB_1992__28_2_267_0
Ledoux, Michel. Sur les déviations modérées des sommes de variables aléatoires vectorielles indépendantes de même loi. Annales de l'I.H.P. Probabilités et statistiques, Tome 28 (1992) no. 2, pp. 267-280. http://www.numdam.org/item/AIHPB_1992__28_2_267_0/
[Ac] Moderate Deviations and Associated Laplace Approximations for Sums of Independent Random Variables, 1990, Trans. Am. Math. Soc., (to appear). | Zbl
,[A-K] Some Results on the Cluster set C({Sn/an}) and the LIL, Ann. Probab., vol. 11, 1983, pp. 102-122. | MR | Zbl
, ,[Az] Grandes déviations et applications, École d'été de Probabilités de Saint-Flour, 1978 ; Lect. Notes Math., No. 774, 1979, pp. 1-176, Springer-Verlag. | MR | Zbl
,[B-Z] Large Deviations of the Sample Mean in General Vector Spaces, Ann. Probab., vol. 7, 1979, pp. 587-621. | MR | Zbl
, ,[B-M1] Probabilities of Large Deviations in Topological Vector Spaces I, Siberian Math. J., vol. 19, 1978, pp. 697-709. | MR | Zbl
, ,[B-M2] Probabilities of Large Deviations in Topological Vector Spaces II, Siberian Math. J., vol. 21, 1980, pp. 12-26. | MR | Zbl
, ,[CX1] Probabilities of Moderate Deviations for Independent Random Vectors in a Banach Space, Chinese J. Appl. Prob. Statist., vol. 7, 1991, pp. 24-32. | MR | Zbl
,[CX2] On the Lower Bound of the Moderate Deviations of i. i. d. Random Variables in a Banach Space, 1990, Chinese J. Appl. Prob. Statist. (to appear).
,[D-S] Large Deviations, Academic Press, 1989. | MR | Zbl
and ,[F-W] Random Perturbations of Dynamical Systems, Springer-Verlag, 1984. | MR | Zbl
and ,[G-K-Z] Some Results on the LIL in Banach Space with Applications to Weighted Empirical Processes, Ann. Probab., vol. 9, 1981, pp. 713-752. | MR | Zbl
, , ,[L-T1] Characterization of the Law of the Iterated Logarithm in Banach Spaces, Ann. Probab., vol. 16, 1988, pp. 1242-1264. | MR | Zbl
and ,[L-T2] Probability in Banach Spaces (Isoperimetry and Processes), Springer-Verlag, 1991. | MR | Zbl
and ,[P] Sums of Independent Random Variables, Springer-Verlag, 1975. | MR | Zbl
,[T1] Isoperimetry and the Integrability of the Sum of Independent Banach Space Valued Random Variables, Ann. Probab., vol. 17, 1989, pp. 1546- 1570. | MR | Zbl
,[T2] A New Isoperimetric Inequality for Product Measure and the Tails of Sums of Independent Random Variables, Geometric Funct. Analysis, vol. 1, 1991, pp. 211-223. | MR | Zbl
,[V] Large Deviations and Applications, S.I.A.M., Philadelphia, 1984. | MR | Zbl
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