Strong approximation of partial sums under dependence conditions with application to dynamical systems |
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| Authors: | Florence Merlevè de |
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| Affiliation: | a Université Paris Est-Marne la Vallée, LAMA and UMR 8050 CNRS, 5 Boulevard Descartes, 77454 Marne La Vallée, Franceb Université de Versailles, Laboratoire de mathématiques, UMR 8100 CNRS, Bâtiment Fermat, 45 Avenue des Etats-Unis, 78035 Versailles, France |
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| Abstract: | In this paper, we obtain precise rates of convergence in the strong invariance principle for stationary sequences of real-valued random variables satisfying weak dependence conditions including strong mixing in the sense of Rosenblatt (1956) [30] as a special case. Applications to unbounded functions of intermittent maps are given. |
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| Keywords: | 60F17 37E05 |
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