This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
de Acosta, A. (1970). Existence and convergence of probability measures in Banach spaces. Trans. Amer. Math. Soc. 152, 273–298.
de Acosta, A. (1975). Banach spaces of stable type and generation of stable measures. Preprint.
de Acosta, A. (1977). Asymptotic behavior of stable measures. Ann. Probability 5, 494–499.
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).
Aldous, D. (1976). A characterisation of Hilbert space using the central limit theorem. J. London Math. Soc. 14, 376–380.
Araujo, A. and Giné, E. (1976). Type, cotype and Lévy measures in Banach spaces. Ann. Probability, 6. (To appear).
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., No6).
Billingsley, P. (1968). Convergence of probability measures. J. Wiley and Sons, New York.
Chobanjan, S. A. and Tarieladze, V. I. (1977). Gaussian characterizations of certain Banach spaces. J. Multivariate Analysis 7, 183–203.
Feller, W. (1970). An introduction to Probability Theory and its applications, Vol. II, 2nd. edition. J. Wiley and Sons, New York.
Hoffmann-Jorgensen, J. (1974). Sums of independent Banach-valued random variables. Studia Math. 52, 159–186.
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.
Jain, N. (1976). Central limit theorem and related questions in Banach spaces. Urbana Probability Symp., Amer. Math. Soc.
Kuelbs, J. and Mandrekar, V. (1974). Domains of attraction of stable measures on a Hilbert space. Studia Math. 50, 149–162.
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.
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.
Marcus, M. B. and Woyczynski, W. (1977). Stable measures and central limit theorem in spaces of stable type.Trans. Amer. Math. Soc. (To appear).
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).
Maurey, B. and Pisier, G. (1976). Séries de variables aléatoires vectorielles independentes et proprietés géometriques des espaces de Banach. Studia Math. 58, 45–90.
Mouchtari, D. (1976). Sur l'existence d'une topologie du type de Sazonov sur un espace de Banach. Séminaire Maurey-Schwartz 1975–76.
Paulauskas, V. (1976). Infinitely divisible and stable probability measures on separable Banach spaces. Goteborg University Preprint.
Tortrat, A. (1976). Sur les lois e(λ) dans les espaces vectoriels; applications aux lois stables. Z. Wahrscheinlichkeitstheorie verb. gebiete 27, 175–182.
Woyczynski, W. (1977). Classical conditions in the central limit problem. Preprint.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1979 Springer-Verlag
About this paper
Cite this paper
Giné, E. (1979). Domains of attraction in Banach spaces. In: Dellacherie, C., Meyer, P.A., Weil, M. (eds) Séminaire de Probabilités XIII. Lecture Notes in Mathematics, vol 721. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0070849
Download citation
DOI: https://doi.org/10.1007/BFb0070849
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09505-7
Online ISBN: 978-3-540-35189-4
eBook Packages: Springer Book Archive