混合相依变量线性形式的强稳定性

Strong Stability of Linear Forms of Mixing Random Variables

  • 摘要: 线性形式的强稳定性在科学技术上存在着广泛应用.本文讨论了混合随机变量列线性形式的强稳定性.通过对混合随机变量列运用截尾术, 借助于混合随机变量的性质以及Borel-Cantelli引理,得到了混合随机变量线性形式具有强稳定性的充分条件. 同时也给出了一些其它形式的结果.

     

    Abstract: The strong stability of linear forms had found many applications in the science and technology. In this paper, we investigate the strong stability of linear forms for mixing sequence. By using the termination, Borel-Cantelli lemma and properties of mixing sequence, the sufficient condition of the strong stability of linear forms for mixing sequence is given. Stability of other linear forms in mixing sequence are given at the same time

     

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