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Some new results for weakly dependent random variable sequences. (English) Zbl 1240.60085
Summary: Let {X n ,n1} be a ρ ˜-mixing random variable sequence. By using the truncation method of random variables and the three series theorem for ρ ˜-mixing sequences, the convergence properties of ρ ˜-mixing sequence are discussed, and a class of strong limit theorems for ρ ˜-mixing sequences are obtained, which generalize the corresponding results for independent sequences. At last, the strong stability for weighted sums of ρ ˜-mixing sequences is studied.
MSC:
60F15Strong limit theorems