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Complete convergence for sums of arrays of random elements. (English) Zbl 0961.60007

Complete convergence is studied for sums of rowwise independent arrays of Banach space valued random elements. The equivalence of complete convergence and convergence in probability is established under some moment conditions.

MSC:

60B12 Limit theorems for vector-valued random variables (infinite-dimensional case)
60F15 Strong limit theorems
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