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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
MathSciNet review:
0391213
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
Robert
Bonic and John
Frampton, Smooth functions on Banach manifolds, J. Math. Mech.
15 (1966), 877–898. MR 0198492
(33 #6647)
- 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
(19,1202b)
- 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
(42 #457)
- 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
(50 #8628)
- 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
(50 #14868)
- 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
(52 #4359)
- 7.
H.
F. Trotter, An elementary proof of the central limit theorem,
Arch. Math. 10 (1959), 226–234. MR 0108847
(21 #7559)
- 1.
- R. Bonic and J. Frampton, Smooth functions on Banach manifolds, J. Math. Mech. 15 (1966), 877-898. MR 33 #6647. MR 198492
- 2.
- R. Fortet and E. Mourier, Les fonctions aléatoires comme éléments aléatoires dans les espace de Banach, Studia Math. 15 (1955), 62-79. MR 19, 1202. MR 93052
- 3.
- L. Gross, Abstract Wiener measure and infinite dimensional potential theory, Lectures in Modern Analysis and Applications, II, Lecture Notes in Math., vol. 140, Springer, Berlin, 1970, pp. 84-116. MR 42 #457. MR 265548
- 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 356157
- 5.
- J. Kuelbs, Berry-Essen estimates in Hilbert space and an application to the law of the iterated logarithm, Ann. Probability (to appear). MR 362427
- 6.
- J. Kuelbs, An inequality for the distribution of a sum of certain Banach space valued random variables, Studio Math, (to appear). MR 383478
- 7.
- H. F. Trotter, An elementary proof of the central limit theorem, Arch. Math. 10 (1959), 226-234. MR 21 #7559. MR 108847
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1974-13492-0
PII:
S 0002-9904(1974)13492-0
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