A survey on the general central limit problem in Banach spaces
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1977-1978)
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topGiné, E.. "A survey on the general central limit problem in Banach spaces." Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1977-1978): 1-17. <http://eudml.org/doc/109179>.
@article{Giné1977-1978,
author = {Giné, E.},
journal = {Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")},
keywords = {Central Limit Theorem; Shift-Compactness Prohorov Metric; Poisson Measures; Separable Banach Space},
language = {eng},
pages = {1-17},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {A survey on the general central limit problem in Banach spaces},
url = {http://eudml.org/doc/109179},
year = {1977-1978},
}
TY - JOUR
AU - Giné, E.
TI - A survey on the general central limit problem in Banach spaces
JO - Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
PY - 1977-1978
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 17
LA - eng
KW - Central Limit Theorem; Shift-Compactness Prohorov Metric; Poisson Measures; Separable Banach Space
UR - http://eudml.org/doc/109179
ER -
References
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- 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. Zbl0432.60011
- 11 Gnedenko, B. and Kolmogorov, A. (1954). Limit distributions for sums of independent random variables. Addison-Wesley, Cam-bridge, Mass. Zbl0056.36001MR62975
- 12 Hoffmann-Jorgensen, J. and Pisier, G. (1976). The law of large numbers and the central limit theorem in Banach spaces. Ann. Probability4587-599. Zbl0368.60022MR423451
- 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. Zbl0139.35203MR199871
- 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. Zbl0231.60005MR410832
- 15 Maurey, B. et Pisier, G. (1976). Séries de variables aleatoires vectorielles independentes et proprietés géometriques des spaces de Banach. Studia Math.5845-90. Zbl0344.47014MR443015
- 16 Parthasarathy, K.R. (1967). Probability measures on metric spaces. Academic Press, New York. Zbl0153.19101MR226684
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