ψ-混合相依变量线性形式的强稳定性(英文)  

Strong Stability of Linear Forms of ψ-Mixing Random Variables

作　　者：杨延召[1] 刘妍岩[2] 

机构地区：[1]青岛科技大学数学系,青岛266061 [2]武汉大学数学与统计学院,武汉430072

出　　处：《应用概率统计》2011年第4期337-345,共9页Chinese Journal of Applied Probability and Statistics

基　　金：Supported by the National Natural Science Foundation of China (10771163) and by SRF for ROCS, SEM

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ψ-混合随机变量列线性形式的强稳定性.通过对ψ-混合随机变量列运用截尾术, 借助于ψ-混合随机变量的性质以及Borel-Cantelli引理, 得到了ψ-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.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 ψ-mixing sequence. By using the termination, Borel-Cantelli lemma and properties of ψ-mixing sequence, the sufficient condition of the strong stability of linear forms for ψ-mixing sequence is given. Stability of other linear forms in ψ-mixing sequence are given at the same time.

关 键 词：强稳定性 Ψ-混合 线性形式 

分 类 号：O211.4[理学—概率论与数理统计]