Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 

 

An inequality for the distribution of a sum of certain Banach space valued random variables


Author: J. Kuelbs
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
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. Robert Bonic and John Frampton, Smooth functions on Banach manifolds, J. Math. Mech. 15 (1966), 877–898. MR 0198492
  • 2. R. Fortet and E. Mourier, Les fonctions aléatoires comme éléments aléatoires dans les espaces de Banach, Studia Math. 15 (1955), 62–79 (French). MR 0093052
  • 3. 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
  • 4. 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
  • 5. 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 0362427
  • 6. J. Kuelbs, An inequality for the distribution of a sum of certain Banach space valued random variables, Studia Math. 52 (1974), 69–87. MR 0383478
  • 7. H. F. Trotter, An elementary proof of the central limit theorem, Arch. Math. 10 (1959), 226–234. MR 0108847, https://doi.org/10.1007/BF01240790

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 60B05, 60B10, 60F10, 28A40

Retrieve articles in all journals with MSC (1970): 60B05, 60B10, 60F10, 28A40


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1974-13492-0