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Weak laws of large numbers for arrays under a condition of uniform integrability. (English) Zbl 1136.60319
Summary: For an array of dependent random variables satisfying a new notion of uniform integrability, weak laws of large numbers are obtained. Our results extend and sharpen the known results in the literature.

MSC:
60F05 Central limit and other weak theorems
60F25 \(L^p\)-limit theorems
60G42 Martingales with discrete parameter
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