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 |
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Complete Convergence Properties of the Sums for ρ Mixing Random Sequences with Different Distributions |
WU Yan-chun
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(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 |