A Note on the Almost Sure Central Limit Theorem for Partial Sums of ρ⁻-Mixing Sequences

Feng Xu, Qunying Wu

College of Science, Guilin University of Technology, Guilin, China.

DOI: 10.4236/am.2015.69140                

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

ρ⁻-Mixing Sequences, Partial Sums, Almost Sure Central Limit Theorem

Conflicts of Interest

The authors declare no conflicts of interest.

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