@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}, pages = {22--40}, publisher = {Springer - Lecture Notes in Mathematics}, volume = {13}, year = {1979}, mrnumber = {544779}, zbl = {0406.60006}, language = {en}, url = {http://archive.numdam.org/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://archive.numdam.org/item/SPS_1979__13__22_0/
1. Existence and convergence of probability measures in Banach spaces. Trans. Amer. Math. Soc. 152, 273-298. | MR | Zbl
(1970).2. Banachspaces of stable type and generation of stable measures. Preprint. | MR
(1975).3. Asymptotic behavior of stable measures. Ann. Probability 5, 494-499. | MR | Zbl
(1977).4. On Poisson measures, Gaussian measures and the CLT in Banach spaces. Advances in Probability, Vol. IV, M. Dekker, New York. (To appear). | MR
, and (1977).5. A characterisation of Hilbert space using the central limit theorem. J. London Math. Soc. 14, 376-380. | MR | Zbl
(1976).6. Type, cotype and Lévy measures in Banach spaces. Ann. Probability, 6. (To appear). | MR | Zbl
and (1976).7. 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 | Zbl
and (1977).8. Convergence of probability measures. J. Wiley and Sons, New York. | MR | Zbl
(1968).9. Gaussian characterizations of certain Banach spaces. J. Multivariate Analysis 7, 183-203. | MR | Zbl
and (1977).10. An introduction to Probability Theory and its applications, Vol. II, 2nd. edition. J. Wiley and Sons, New York. | MR | Zbl
(1970).11. Sums of independent Banach-valued random variables. Studia Math. 52, 159-186. | MR | Zbl
(1974).12. The law of large numbers and the central limit theorem in Banach spaces. Ann. Probability 4, 587-599. | MR | Zbl
and (1976).13. Central limit theorem and related questions in Banach spaces. Urbana Probability Symp., Amer. Math. Soc. | MR | Zbl
(1976).14. Domains of attraction of stable measures on a Hilbert space. Studia Math. 50, 149-162. | MR | Zbl
and (1974).15. Remarques sur le théorème limite centrale dans les spaces localement convexes. Les Probabilités sur les structures algébriques. CNRS, Paris. 233-249. | MR | Zbl
(1970).16. Central limit problem for symmetric case: convergence to non-Gaussian laws. Preprint Dept. of Statistics and Probability, Michigan State U. | MR
and (1977).17. Stable measures and central limit theorem in spaces of stable type.Trans. Amer. Math. Soc. (To appear). | MR | Zbl
and (1977).18. A necessary condition for the CLT in spaces of stable type. Proc. Conference on vector measures and appl., Dublin. (To appear). | MR | Zbl
and (1977).19. Series de variables aléatoires vectorielles independentes et proprietés géometriques des espaces de Banach. Studia Math. 58, 45-90. | MR | Zbl
and (1976).20. Sur l'existence d'une topologie du type de Sazonov sur un espace de Banach. Séminaire Maurey-Schwartz 1975-76. | Numdam | MR | Zbl
(1976).21. Infinitely divisible and stable probability measures on separable Banach spaces. Goteborg University Preprint. | MR
(1976).22. Sur les lois e(λ) dans les espaces vectoriels; applications aux lois stables. Z. Wahrscheinlichkeitstheorie verb. gebiete 27, 175-182. | MR | Zbl
(1976).23. Classical conditions in the central limit problem. Preprint.
(1977).