An inequality for the distribution of a sum of certain Banach space valued random variables
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References
- Robert Bonic and John Frampton, Smooth functions on Banach manifolds, J. Math. Mech. 15 (1966), 877–898. MR 0198492
- R. Fortet and E. Mourier, Les fonctions aléatoires comme éléments aléatoires dans les espaces de Banach, Studia Math. 15 (1955), 62–79 (French). MR 93052, DOI 10.4064/sm-15-1-62-79
- Leonard Gross, Abstract Wiener measure and infinite dimensional potential theory, Lectures in Modern Analysis and Applications, II, Lecture Notes in Mathematics, Vol. 140, Springer, Berlin, 1970, pp. 84–116. MR 0265548
- J. Kuelbs, Some results for probability measures on linear topological vector spaces with an application to Strassen’s log log law, J. Functional Analysis 14 (1973), 28–43. MR 0356157, DOI 10.1016/0022-1236(73)90028-1
- J. Kuelbs and T. Kurtz, Berry-Esseen estimates in Hilbert space and an application to the law of the iterated logarithm, Ann. Probability 2 (1974), 387–407. MR 362427, DOI 10.1214/aop/1176996655
- J. Kuelbs, An inequality for the distribution of a sum of certain Banach space valued random variables, Studia Math. 52 (1974), 69–87. MR 383478, DOI 10.4064/sm-52-1-69-87
- H. F. Trotter, An elementary proof of the central limit theorem, Arch. Math. 10 (1959), 226–234. MR 108847, DOI 10.1007/BF01240790
Additional Information
- Journal: Bull. Amer. Math. Soc. 80 (1974), 549-552
- MSC (1970): Primary 60B05, 60B10, 60F10; Secondary 28A40
- DOI: https://doi.org/10.1090/S0002-9904-1974-13492-0
- MathSciNet review: 0391213