Domains of attraction in Banach spaces
Séminaire de probabilités, Tome 13 (1979), pp. 22-40
corrigé par Corrections : “Domains of attraction in Banach spaces” 
@article{SPS_1979__13__22_0,
     author = {Gin\'e, Evarist},
     title = {Domains of attraction in {Banach} spaces},
     journal = {S\'eminaire de probabilit\'es},
     pages = {22--40},
     year = {1979},
     publisher = {Springer - Lecture Notes in Mathematics},
     volume = {13},
     mrnumber = {544779},
     zbl = {0406.60006},
     language = {en},
     url = {https://www.numdam.org/item/SPS_1979__13__22_0/}
}
TY  - JOUR
AU  - Giné, Evarist
TI  - Domains of attraction in Banach spaces
JO  - Séminaire de probabilités
PY  - 1979
SP  - 22
EP  - 40
VL  - 13
PB  - Springer - Lecture Notes in Mathematics
UR  - https://www.numdam.org/item/SPS_1979__13__22_0/
LA  - en
ID  - SPS_1979__13__22_0
ER  - 
%0 Journal Article
%A Giné, Evarist
%T Domains of attraction in Banach spaces
%J Séminaire de probabilités
%D 1979
%P 22-40
%V 13
%I Springer - Lecture Notes in Mathematics
%U https://www.numdam.org/item/SPS_1979__13__22_0/
%G en
%F SPS_1979__13__22_0
Giné, Evarist. Domains of attraction in Banach spaces. Séminaire de probabilités, Tome 13 (1979), pp. 22-40. https://www.numdam.org/item/SPS_1979__13__22_0/

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

2. De Acosta, A. (1975). Banachspaces of stable type and generation of stable measures. Preprint. | MR

3. De Acosta, A. (1977). Asymptotic behavior of stable measures. Ann. Probability 5, 494-499. | Zbl | MR

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

5. Aldous, D. (1976). A characterisation of Hilbert space using the central limit theorem. J. London Math. Soc. 14, 376-380. | Zbl | MR

6. Araujo, A. and Giné, E. (1976). Type, cotype and Lévy measures in Banach spaces. Ann. Probability, 6. (To appear). | Zbl | MR

7. Araujo, A. and Giné, E. (1977). On tails and domains of attraction of stable measures in Banach spaces. Trans. Amer. Math. Soc. (To appear).(Also, IVIC Preprint series in Math., N°6). | Zbl | MR

8. Billingsley, P. (1968). Convergence of probability measures. J. Wiley and Sons, New York. | Zbl | MR

9. Chobanjan, S.A. and Tarieladze, V.I. (1977). Gaussian characterizations of certain Banach spaces. J. Multivariate Analysis 7, 183-203. | Zbl | MR

10. Feller, W. (1970). An introduction to Probability Theory and its applications, Vol. II, 2nd. edition. J. Wiley and Sons, New York. | Zbl | MR

11. Hoffmann-Jorgensen, J. (1974). Sums of independent Banach-valued random variables. Studia Math. 52, 159-186. | Zbl | MR

12. Hoffmann-Jorgensen, J. and Pisier, G. (1976). The law of large numbers and the central limit theorem in Banach spaces. Ann. Probability 4, 587-599. | Zbl | MR

13. Jain, N. (1976). Central limit theorem and related questions in Banach spaces. Urbana Probability Symp., Amer. Math. Soc. | Zbl | MR

14. Kuelbs, J. and Mandrekar, V. (1974). Domains of attraction of stable measures on a Hilbert space. Studia Math. 50, 149-162. | Zbl | MR

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

16. Mandrekar, V. and Zinn, J. (1977). Central limit problem for symmetric case: convergence to non-Gaussian laws. Preprint Dept. of Statistics and Probability, Michigan State U. | MR

17. Marcus, M.B. and Woyczynski, W. (1977). Stable measures and central limit theorem in spaces of stable type.Trans. Amer. Math. Soc. (To appear). | Zbl | MR

18. Marcus, M.B. and Woyczynski, W. (1977). A necessary condition for the CLT in spaces of stable type. Proc. Conference on vector measures and appl., Dublin. (To appear). | Zbl | MR

19. Maurey, B. and Pisier, G. (1976). Series de variables aléatoires vectorielles independentes et proprietés géometriques des espaces de Banach. Studia Math. 58, 45-90. | Zbl | MR

20. Mouchtari, D. (1976). Sur l'existence d'une topologie du type de Sazonov sur un espace de Banach. Séminaire Maurey-Schwartz 1975-76. | Zbl | MR | Numdam

21. Paulauskas, V. (1976). Infinitely divisible and stable probability measures on separable Banach spaces. Goteborg University Preprint. | MR

22. Tortrat, A. (1976). Sur les lois e(λ) dans les espaces vectoriels; applications aux lois stables. Z. Wahrscheinlichkeitstheorie verb. gebiete 27, 175-182. | Zbl | MR

23. Woyczynski, W. (1977). Classical conditions in the central limit problem. Preprint.