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Convergence properties of pairwise NQD random sequences. (Chinese. English summary) Zbl 1008.60039
Summary: We extend the Kolmogorov-type inequality to the case of pairwise NQD random sequences. Moreover, we study the convergence properties of pairwise NQD random sequences. As a result, we extend Baum and Katz complete convergence, the three series theorem, Marcinkiewicz strong law of large number to the case of pairwise NQD random sequences.

MSC:
60E15 Inequalities; stochastic orderings
60F15 Strong limit theorems
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