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Convergence properties of the partial sums for sequences of end random variables. (English) Zbl 1264.60023

Summary: The convergence properties of extended negatively dependent sequences under conditions of uniform integrability are studied. Some sufficient conditions of the weak law of large numbers, the \(p\)-mean convergence and the complete convergence for extended negatively dependent sequences are obtained, which extend and enrich known results in the literature.

MSC:

60F15 Strong limit theorems
60F05 Central limit and other weak theorems
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