Huang Haiwu, Wang Dingcheng, Wu Qunying. Strong Convergence Laws for $\wt{\varphi}$-Mixing Sequences of Random Variables[J]. Chinese Journal of Applied Probability and Statistics, 2012, 28(2): 181-188.
Citation: Huang Haiwu, Wang Dingcheng, Wu Qunying. Strong Convergence Laws for $\wt{\varphi}$-Mixing Sequences of Random Variables[J]. Chinese Journal of Applied Probability and Statistics, 2012, 28(2): 181-188.

Strong Convergence Laws for \wt\varphi-Mixing Sequences of Random Variables

  • In this paper, the almost sure convergence and complete convergence for \wt\varphi-mixing random variables are established. The results obtained not only extend and generalize the classical Khintchine-Kolmogorov Convergence Theorem, the Three Series Theorem for independent random variables to the case of \wt\varphi-mixing random variables, but also improve the relevant results without necessarily adding any extra any conditions.
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