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A Note on the Almost Sure Central Limit Theorem for Partial Sums of <i>ρ</i><sup>−</sup>-Mixing Sequences
College of Science, Guilin University of Technology, Guilin, China
College of Science, Guilin University of Technology, Guilin, China
- 1 College of Science, Guilin University of Technology, Guilin, China
- 2 College of Science, Guilin University of Technology, Guilin, China
Applied Mathematics·Volume 06 (2015)·Pages 1574–1580·Published 5 August 2015·DOI10.4236/am.2015.69140
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Abstract
Let be a strictly stationary sequence of ρ ?-mixing random variables. We proved the almost sure central limit theorem, containing the general weight sequences, for the partial sums , where , . The result generalizes and improves the previous results.
Keywords<i>ρ</i><sup>&minus</sup>-Mixing SequencesPartial SumsAlmost Sure Central Limit Theorem
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