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Uniform bounds under increment conditions |
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| Authors: | Michel Weber |
| Affiliation: | Mathématique (IRMA), Université Louis-Pasteur et CNRS, 7, rue René Descartes, 67084 Strasbourg Cedex, France |
| Abstract: | We apply a majorizing measure theorem of Talagrand to obtain uniform bounds for sums of random variables satisfying increment conditions of the type considered in Gál-Koksma Theorems. We give some applications. |
| Keywords: | Almost sure convergence majorizing measure maximal inequality G'al-Koksma inequality ergodic sums |
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