ρ^-混合序列完全收敛性的一个注记  

A Note on Complete Convergence of ρ^--Mixing Random Sequence

作　　者：刘筱平[1] 鄢寒[1] 吴群英[1] 

机构地区：[1]桂林工学院数理系,广西桂林541004

出　　处：《吉林大学学报（理学版）》2009年第2期265-268,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10661006);广西"新世纪十百千人才工程"专项基金(批准号:2005214);广西自然科学基金(批准号:桂科自0728212)

摘　　要：借助ρ-混合序列的最大值Rosenthal型矩不等式,用截尾法证明了ρ-混合序列一般形式的完全收敛速度与矩条件之间的等价关系,其结果与独立情形一致,从而证实了ρ-混合序列与独立序列有类似的完全收敛性.We discussed complete convergence for ρ^--mixing random sequence, and obtained the general equivelent relationship between the rate of complete convergence and moment condition of random variables by means of the Rosenthal type inequality of ρ^- -mixing random sequence and the truncation method. The results are consistent with those for independent sequence that confirms the similarity in complete convergence between ρ^--mixing sequence and independent one.

关 键 词：Ρ-混合序列 完全收敛 矩条件 

分 类 号：O211.4[理学—概率论与数理统计]