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Abstract
In this paper, we establish some weak laws of large numbers for arrays of dependent random variables satisfying the conditions of a kind of uniform integrability. Our results extend and improve the corresponding ones.
Acknowledgements
The authors are most grateful to the Editor-in-Chief Saul Jacka, the Associate Editor, an editor and anonymous referees for careful reading of the manuscript and valuable suggestions which helped in improving significantly an earlier version of this paper.
Additional information
Funding
This work was supported by the NNSF of China [grant number 11171001], [grant number 11201001]; Natural Science Foundation of Anhui Province [grant number 1208085QA03], [grant number 1308085QA03].
