@article{SPS_1979__13__22_0,
author = {Gin\'e, Evarist},
title = {Domains of attraction in Banach spaces},
journal = {S\'eminaire de probabilit\'es de Strasbourg},
volume = {13},
year = {1979},
pages = {22-40},
mrnumber = {544779},
zbl = {0406.60006},
language = {en},
url = {http://dml.mathdoc.fr/item/SPS_1979__13__22_0}
}
Giné, Evarist. Domains of attraction in Banach spaces. Séminaire de probabilités de Strasbourg, Tome 13 (1979) pp. 22-40. http://gdmltest.u-ga.fr/item/SPS_1979__13__22_0/
1. (1970). Existence and convergence of probability measures in Banach spaces. Trans. Amer. Math. Soc. 152, 273-298. | MR 267614 | Zbl 0226.60007
2. (1975). Banachspaces of stable type and generation of stable measures. Preprint. | MR 391202
3. (1977). Asymptotic behavior of stable measures. Ann. Probability 5, 494-499. | MR 433531 | Zbl 0387.60004
4. , and (1977). On Poisson measures, Gaussian measures and the CLT in Banach spaces. Advances in Probability, Vol. IV, M. Dekker, New York. (To appear). | MR 515429
5. (1976). A characterisation of Hilbert space using the central limit theorem. J. London Math. Soc. 14, 376-380. | MR 443017 | Zbl 0341.60006
6. and (1976). Type, cotype and Lévy measures in Banach spaces. Ann. Probability, 6. (To appear). | MR 482910 | Zbl 0384.60003
7. and (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). | MR 521695 | Zbl 0408.60007
8. (1968). Convergence of probability measures. J. Wiley and Sons, New York. | MR 233396 | Zbl 0172.21201
9. and (1977). Gaussian characterizations of certain Banach spaces. J. Multivariate Analysis 7, 183-203. | MR 433572 | Zbl 0362.60054
10. (1970). An introduction to Probability Theory and its applications, Vol. II, 2nd. edition. J. Wiley and Sons, New York. | MR 88081 | Zbl 0219.60003
11. (1974). Sums of independent Banach-valued random variables. Studia Math. 52, 159-186. | MR 356155 | Zbl 0265.60005
12. and (1976). The law of large numbers and the central limit theorem in Banach spaces. Ann. Probability 4, 587-599. | MR 423451 | Zbl 0368.60022
13. (1976). Central limit theorem and related questions in Banach spaces. Urbana Probability Symp., Amer. Math. Soc. | MR 451328 | Zbl 0389.60002
14. and (1974). Domains of attraction of stable measures on a Hilbert space. Studia Math. 50, 149-162. | MR 345155 | Zbl 0304.60002
15. (1970). Remarques sur le théorème limite centrale dans les spaces localement convexes. Les Probabilités sur les structures algébriques. CNRS, Paris. 233-249. | MR 410832 | Zbl 0231.60005
16. and (1977). Central limit problem for symmetric case: convergence to non-Gaussian laws. Preprint Dept. of Statistics and Probability, Michigan State U. | MR 592390
17. and (1977). Stable measures and central limit theorem in spaces of stable type.Trans. Amer. Math. Soc. (To appear). | MR 531970 | Zbl 0449.60003
18. and (1977). A necessary condition for the CLT in spaces of stable type. Proc. Conference on vector measures and appl., Dublin. (To appear). | MR 484227 | Zbl 0404.60015
19. and (1976). Series de variables aléatoires vectorielles independentes et proprietés géometriques des espaces de Banach. Studia Math. 58, 45-90. | MR 443015 | Zbl 0344.47014
20. (1976). Sur l'existence d'une topologie du type de Sazonov sur un espace de Banach. Séminaire Maurey-Schwartz 1975-76. | Numdam | MR 457647 | Zbl 0356.28003
21. (1976). Infinitely divisible and stable probability measures on separable Banach spaces. Goteborg University Preprint. | MR 513134
22. (1976). Sur les lois e(λ) dans les espaces vectoriels; applications aux lois stables. Z. Wahrscheinlichkeitstheorie verb. gebiete 27, 175-182. | MR 428371 | Zbl 0335.60013
23. (1977). Classical conditions in the central limit problem. Preprint.