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Complete convergence for negatively dependent sequences of random variables. (English) Zbl 1202.60050
Summary: We study the complete convergence for negatively dependent sequences of random variables. As a result, we extend some complete convergence theorems for independent random variables to the case of negatively dependent random variables without necessarily imposing any extra conditions.

60F15 Strong limit theorems
Full Text: DOI EuDML
[1] doi:10.1080/03610928108828041 · doi:10.1080/03610928108828041
[2] doi:10.1214/aoms/1177699260 · Zbl 0146.40601 · doi:10.1214/aoms/1177699260
[3] doi:10.1214/aos/1176346079 · Zbl 0508.62041 · doi:10.1214/aos/1176346079
[7] doi:10.1016/j.spl.2004.10.027 · Zbl 1070.60030 · doi:10.1016/j.spl.2004.10.027
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