论文标题

鲍姆 - 卡茨系列的收敛,以实现线性自动性元素

On convergence of Baum-Katz series for elements of linear autoregression

论文作者

Ilienko, Maryna

论文摘要

我们研究完整的收敛性和密切相关的hsu-robbins-erds-spitzer-baum-katz系列的总和,其术语是线性自动进度序列的元素。我们获得了以时刻假设表达的该系列收敛性的标准,对于“弱依赖”序列而言,该序列与关于独立情况的经典结果相同。

We study complete convergence and closely related Hsu-Robbins-Erdős-Spitzer-Baum-Katz series for sums whose terms are elements of linear autoregression sequences. We obtain criterions for convergence of this series expressed in moment assumptions, which for "weakly dependent" sequences are the same as in classical results concerning independent case.

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