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  • 伍艳春.不同分布ρ混合序列部分和的完全收敛性[J].广西科学,2009,16(1):35-37.    [点击复制]
  • WU Yan-chun.Complete Convergence Properties of the Sums for ρ Mixing Random Sequences with Different Distributions[J].Guangxi Sciences,2009,16(1):35-37.   [点击复制]
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不同分布ρ混合序列部分和的完全收敛性
伍艳春
0
(桂林工学院数理系, 广西桂林 541004)
摘要:
讨论不同分布~d混合序列部分和的完全收敛性,利用矩不等式和截尾手法,获得了几乎与独立情形完全一样的Baum和Katz完全收敛定理.
关键词:  ~d混合序列  完全收敛  矩条件
DOI:
投稿时间:2007-07-09
基金项目:广西自然科学基金项目(编号:桂科基0447096);广西教育厅科研基金项目([2004]20)资助
Complete Convergence Properties of the Sums for ρ Mixing Random Sequences with Different Distributions
WU Yan-chun
(Department of Mathematics and Physics, Guilin Institute of Technology, Guilin, Guangxi, 541004, China)
Abstract:
The complete convergence properties of the sums of ~d mixing random sequences with different distributions are discussed.As a result Baum and Katz complete convergence is extended to the case of ~d mixing random sequences by moment inequality and truncating.
Key words:  ~d mixing random sequences  complete convergence  moment condition

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