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The almost sure central limit theorems for the maxima of sums under some new weak dependence assumptions |
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| Authors: | Marcin Dudziński Przemysław Górka |
| Affiliation: | 1. Faculty of Applied Informatics and Mathematics, Warsaw University of Life Sciences (SGGW), Ul. Nowoursynowska 159, 02-776, Warsaw, Poland 2. Department of Mathematics and Information Sciences, Warsaw University of Technology, Pl. Politechniki 1, 00-661, Warsaw, Poland |
| Abstract: | We prove the almost sure central limit theorems for the maxima of partial sums of r.v.’s under a general condition of dependence due to Doukhan and Louhichi. We will separately consider the centered sequences and the sequences with positive expected values. |
| Keywords: | Almost sure central limit theorem new weakly dependent random variables maxima of partial sums Markov chains |
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