摘要
在较宽泛的条件下研究了不同分布■混合阵列行加权和的收敛性质,利用矩不等式和截尾方法,获得了一般双下标加权系数的加权部分和的Lp收敛性和完全收敛性定理,改进了吴群英与王远清(2007)的相应结果.
Under very mild conditions, the convergence properties for the weighted sums of ρ mixing random arrays with the different distribution were studied. By using moment inequality and truncated method, the Lp convergence and complete convergence for the general double index weighted partial sums was obtained, which improve the corresponding results of Q. Y. Wu, Y. Q. Wang (2007).
出处
《西安工程大学学报》
CAS
2008年第3期358-361,共4页
Journal of Xi’an Polytechnic University
基金
安徽高校省级自然科研项目(KJ2008B15ZC)
安徽省高校青年教师资助计划项目(2008jq1140)
关键词
ρ混合阵列
加权和
一致可积
Lp收敛性
完全收敛性
ρ mixing random arrays
weighted sum
uniform integrability
Lp convergence
complete convergence.