可交换随机变量序列部分和的完全收敛性

The Complete Convergence for Partial Sums of Interchangeable Random Variables

  • 摘要: 本文通过讨论可交换随机变量序列Xn:n>1)的部分和Sn关于正值单调函数H(x),φ(x)的尾概率级数的收敛性和某种形式矩的存在性之间的关系,获得了部分和完全收敛性的一系列充分性和等价性结论.D

     

    Abstract: In this paper, we discuss the relations between the convergence of tail probability series and the existence of some type of the moment for partial sums of interchangeable random variables Xn : n ≥ 1 and positive monotone functions H(x), φ(x), we obtain a series of sufficient and equivalent results for the complete convergence of partial sums.

     

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