A survey on the general central limit problem in Banach spaces
Séminaire d'Analyse fonctionnelle (dit "Maurey-Schwartz") (1977-1978), Exposé no. 24, 17 p.
@article{SAF_1977-1978____A18_0,
     author = {Gin\'e, E.},
     title = {A survey on the general central limit problem in {Banach} spaces},
     journal = {S\'eminaire d'Analyse fonctionnelle (dit "Maurey-Schwartz")},
     note = {talk:24},
     publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
     year = {1977-1978},
     zbl = {0405.60007},
     mrnumber = {520221},
     language = {en},
     url = {http://www.numdam.org/item/SAF_1977-1978____A18_0/}
}
TY  - JOUR
AU  - Giné, E.
TI  - A survey on the general central limit problem in Banach spaces
JO  - Séminaire d'Analyse fonctionnelle (dit "Maurey-Schwartz")
N1  - talk:24
PY  - 1977-1978
DA  - 1977-1978///
PB  - Ecole Polytechnique, Centre de Mathématiques
UR  - http://www.numdam.org/item/SAF_1977-1978____A18_0/
UR  - https://zbmath.org/?q=an%3A0405.60007
UR  - https://www.ams.org/mathscinet-getitem?mr=520221
LA  - en
ID  - SAF_1977-1978____A18_0
ER  - 
Giné, E. A survey on the general central limit problem in Banach spaces. Séminaire d'Analyse fonctionnelle (dit "Maurey-Schwartz") (1977-1978), Exposé no. 24, 17 p. http://www.numdam.org/item/SAF_1977-1978____A18_0/

1 De Acosta, A. (1970). Existence and convergence of probability measures in Banach spaces. Trans. Amer. Math. Soc. 152 273-298. | MR 267614 | Zbl 0226.60007

2 De Acosta, A. and Samur, J. (1977). Infinitely divisible probability measures and the converse Kolmogorov inequality in Banach spaces. Studia Math. (To appear). | MR 565155 | Zbl 0426.60003

3 De Acosta, A., Araujo, A. and Giné, E. (1977). On Poisson measures, Gaussian measures and the central limit theorem in Banach spaces. Advances in Probability, Vol. IV. M. Dekker, New York. (To appear). | MR 515429

4 Araujo, A. (1975). On the central limit theorem in Panach spaces. J. Multivariate Analysis. (To appear). | MR 520969 | Zbl 0404.60017

5 Araujo, A. and Giné, E. (1976). Type, cotype and Levy measures on Banach spaces. Ann. Probability. (To appear). | Zbl 0384.60003

6 Araujo, A. and Giné, E. (1977). On tails and domains of attraction of stable measures in Banach spaces. Trans. Amer. Math. Soc. (To appear). | MR 521695 | Zbl 0408.60007

7 Araujo, A. and Gine, E. (1978). On row sums of triangular arrays and their accompanying Poisson measures in Panach spaces. Preprint. (To appear).

8 Dettweiler, E. (1976). Grezwetsätze für Wahrscheinlichkeitsmasse auf Badrikianschen Räumen. Z. Wahrscheinlichkeitstheorie verw. Geb. 34 285-311. | MR 402849 | Zbl 0309.60010

9 Giné, E. (1978). The general central limit theorem in lp, 2≤p<∞. Preprint. (To appear).

10 Giné, E. and León, J. (1977). On the central limit theorem in Hilbert space. IVIC preprint series in Math. #5. To appear in Proc. 1st Conference of Math. at the service of man. Barcelona.

11 Gnedenko, B. and Kolmogorov, A. (1954). Limit distributions for sums of independent random variables. Addison-Wesley, Cam-bridge, Mass. | MR 62975 | Zbl 0056.36001

12 Hoffmann-Jorgensen, J. and Pisier, G. (1976). The law of large numbers and the central limit theorem in Banach spaces. Ann. Probability 4587-599. | MR 423451 | Zbl 0368.60022

13 Le Cam, L. (1965). On the distribution of sums of independent random variables. Pernoulli, Bayes, Laplace (Proceedings of a a Seminar), 179-202. Springer-Verlag, Perlin and New York. | MR 199871 | Zbl 0139.35203

14 Le Cam, L. (1970). Remarques sur le théorème limite centrale dans les spaces localement convexes. Les probabilités sur les structures algébriques, 233, 249. CNRS, Paris. | MR 410832 | Zbl 0231.60005

15 Maurey, B. et Pisier, G. (1976). Séries de variables aleatoires vectorielles independentes et proprietés géometriques des spaces de Banach. Studia Math. 5845-90. | MR 443015 | Zbl 0344.47014

16 Parthasarathy, K.R. (1967). Probability measures on metric spaces. Academic Press, New York. | MR 226684 | Zbl 0153.19101

17 Varadhan, S.R.S. (1962). Limit theorems for sums of independent random variables with values in a Hilbert space. Sankhya 24 213-238. | MR 171305 | Zbl 0113.34101

18 Woyczinski, W. (1977). Geometry and martingales in Banach spaces, Part II: independent increments. Advances in Probability, Vol. IV. (To appear).