@article{AIHPB_1983__19_4_393_0, author = {Ledoux, M.}, title = {Th\'eor\`eme limite central dans les espaces $l_p(B) (1 \le p < \infty )$}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {393--411}, publisher = {Gauthier-Villars}, volume = {19}, number = {4}, year = {1983}, zbl = {0527.60007}, language = {fr}, url = {http://archive.numdam.org/item/AIHPB_1983__19_4_393_0/} }
TY - JOUR AU - Ledoux, M. TI - Théorème limite central dans les espaces $l_p(B) (1 \le p < \infty )$ JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1983 SP - 393 EP - 411 VL - 19 IS - 4 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPB_1983__19_4_393_0/ LA - fr ID - AIHPB_1983__19_4_393_0 ER -
Ledoux, M. Théorème limite central dans les espaces $l_p(B) (1 \le p < \infty )$. Annales de l'I.H.P. Probabilités et statistiques, Tome 19 (1983) no. 4, pp. 393-411. http://archive.numdam.org/item/AIHPB_1983__19_4_393_0/
[1] On Poisson measures, Gaussian measures and the central limit theorem in Banach spaces. Dekker, New York, Adv. in Probability, t. 4, 1978, p. 1-68. | MR
, , ,[2] Some results on the cluster set C({Sn/an}) and the LLI. Ann. Probability, t. 11, 1983, p. 102-122. | MR | Zbl
, ,[3] The central limit theorem for real and Banach valued random variables. Wiley, New York, 1980. | MR | Zbl
, ,[4] Gaussian characterization of certain Banach spaces. J. Multivariate Anal., t. 7, 1977, p. 183-203. | MR | Zbl
, ,[5] A counterexample concerning cli in Banach spaces. Probability theory on vector spaces, Poland, 1977. Springer, Berlin-Heidelberg-New York, Lecture Notes in Math., t. 656, 1978, p. 25-30. | Zbl
, ,[6] Régularité des trajectoires des fonctions aléatoires gaussiennes. École d'été de Probabilités de St-Flour, 1974. Springer, Berlin-Heidelberg-New York. Lecture Notes in Math., t. 480, 1975, p. 1-96. | MR | Zbl
,[7] Central limit theorems and weak laws of large numbers in certain Banach spaces. Zeitschrift für Wahr, t. 62, 1983, p. 323-354. | MR | Zbl
, ,[8] Some results on the law of the iterated logarithm with applications to weighted empirical processes. Ann. Probability, t. 9, 1981, p. 713-752. | MR | Zbl
, , ,[9] Relation entre théorème central-limite et loi du logarithme itéré dans les espaces de Banach. Zeitschrift für Wahr., t. 49, 1979, p. 211-220. | MR | Zbl
,[10] Sums of independent Banach space valued random variables. Studia Math., t. 52, 1974, p. 159-186. | MR | Zbl
,[11] The law of large numbers and the central limit theorem in Banach spaces. Ann. Probability, t. 4, 1976, p. 587-599. | MR | Zbl
, ,[12] Central limit theorem and related questions in Banach spaces. Proc. Symp. in Pure Math., t. XXXI, 1977, p. 55-65, Amer. Math. Soc., Providence R. I. | MR | Zbl
,[13] Some self dual properties of normed linear spaces. Ann. Math. Studies, t. 69, 1972, p. 159-176. | MR | Zbl
,[14] Kolmogorov's law of the iterated logarithm for Banach space valued random variables. Illinois J. Math., t. 21, 1977, p. 784-800. | MR | Zbl
,[15] The central limit theorem and the strong law of large numbers in the spaces lp(X), 1 ≤ p < ∞. Theor. Probability Appl., t. 21, 1976, p. 780-790. | Zbl
, ,[16] Isomorphic characterization of inner product spaces by orthogonal series with vector valued coefficients. Studia Math., t. 44, 1972, p. 583-595. | MR | Zbl
,[17] Sur les théorèmes limites dans certains espaces de Banach lisses. Probability in Banach spaces IV, Oberwolfach, 1982. Springer, Berlin-Heidelberg-New York, Lecture Notes in Math., t. 990, 1983, p. 150-169. | MR | Zbl
,[18] Classical Banach spaces II. Springer, Berlin-Heidelberg-New York, 1979. | MR | Zbl
, ,[19] Séries de variables aléatoires vectorielles indépendantes èt propriétés géométriques des espaces de Banach. Studia Math., t. 58, 1976, p. 45-90. | MR | Zbl
, ,[20] Le théorème de la limite centrale et la loi du logarithme itéré dans les espaces de Banach. Séminaire Maurey-Schwartz, 1975-1976, exposés 3, 4 et appendice, École Polytechnique, Paris, 1976. | Numdam | Zbl
,[21] On the limit theorems for random variables with values in the spaces Lp (2 ≤ p < ∞). Zeitschrift für Wahr., t. 41, 1977, p. 289-304. | Zbl
, ,[22] Sur une propriété des répartitions normales de probabilités dans les espaces lp (1 ≤ p < ∞) et H. C. R. Acad. Sci. Paris, Série A, t. 260, 1965, p. 1334- 1336. | Zbl
,[23] Inequalities in Banach spaces with applications to probabilistic limit theorems: a survey. Probability in Banach spaces III, Medford, 1980. Springer, Berlin-Heidelberg-New York, Lecture Notes in Math., t. 860, 1981, p. 324-329. | MR | Zbl
,