Volume 9, June 2005
|Page(s)||19 - 37|
|Published online||15 November 2005|
- A. de Acosta, Inequalities for B-valued random variables with application to the law of large numbers. Ann. Probab. 9 (1981) 157–161. [CrossRef] [MathSciNet]
- B. von Bahr and C. Esseen, Inequalities for the rth absolute moments of a sum of random variables, 1 ≤ r ≤ 2. Ann. math. Statist. 36 (1965) 299–303. [CrossRef] [MathSciNet]
- X. Chen, On the law of iterated logarithm for independent Banach space valued random variables. Ann. Probab. 21 (1993) 1991–2011. [CrossRef] [MathSciNet]
- X. Chen, The Kolmogorov's LIL of B-valued random elements and empirical processes. Acta Mathematica Sinica 36 (1993) 600–619. [MathSciNet]
- Y.S. Chow and H. Teicher, Probability Theory: Independence, Interchangeability, Martigales. Springer-Verlag, New York (1978).
- D. Deng, On the Self-normalized Bounded Laws of Iterated Logarithm in Banach Space. Stat. Prob. Lett. 19 (2003) 277–286. [CrossRef]
- U. Einmahl, Toward a general law of the iterated logarithm in Banach space. Ann. Probab. 21 (1993) 2012–2045. [CrossRef] [MathSciNet]
- E. Gine and J. Zinn, Some limit theorem for emperical processes. Ann. Probab. 12 (1984) 929–989. [CrossRef] [MathSciNet]
- A. Godbole, Self-normalized bounded laws of the iterated logarithm in Banach spaces, in Probability in Banach Spaces 8, R. Dudley, M. Hahn and J. Kuelbs Eds. Birkhäuser Progr. Probab. 30 (1992) 292–303.
- P. Griffin and J. Kuelbs, Self-normalized laws of the iterated logarithm. Ann. Probab. 17 (1989) 1571–1601. [CrossRef] [MathSciNet]
- P. Griffin and J. Kuelbs, Some extensions of the LIL via self-normalizations. Ann. Probab. 19 (1991) 380–395. [CrossRef] [MathSciNet]
- M. Ledoux and M. Talagrand, Characterization of the law of the iterated logarithm in Babach spaces. Ann. Probab. 16 (1988) 1242–1264. [CrossRef] [MathSciNet]
- M. Ledoux and M. Talagrand, Some applications of isoperimetric methods to strong limit theorems for sums of independent random variables. Ann. Probab. 18 (1990) 754–789. [CrossRef] [MathSciNet]
- M. Ledoux and M. Talagrand, Probability in Banach Space. Springer-Verlag, Berlin (1991).
- R. Wittmann, A general law of iterated logarithm. Z. Wahrsch. verw. Gebiete 68 (1985) 521–543. [CrossRef] [MathSciNet]
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