Abstract
Let { Y i ; −∞ < i < ∞} be a doubly infinite sequence of identically distributed and φ-mixing random variables, { a i ; −∞ < i < ∞} an absolutely summable sequence of real numbers. In this paper, we prove the complete convergence of {∑ k=1 n ∑ i=−∞ ∞ a i+ k Y i / n l/ t ; n ⩾ 1} under some suitable conditions.
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