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We consider complete convergence and closely relatedHsu-Robbins-Erdos-Spitzer-Baum-Katz series for sums whose terms are elements ofa linear 2-nd order autoregressive sequences of random variables and provesufficient conditions for the convergence of this series.

On the convergence of Baum-Katz series for sums of linear 2-nd order autoregressive sequences of random variables