| 不同分布$\varphi$-混合序列的极限结果 |
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| 引用本文： | 陈平炎,李凤玲.不同分布$\varphi$-混合序列的极限结果[J].数学研究及应用,2008,28(3):628-636. |
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| 作者姓名： | 陈平炎 李凤玲 |
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| 作者单位： | 暨南大学数学系, 广东 广州 510630; 暨南大学统计系, 广东 广州 510630;暨南大学数学系, 广东 广州 510630 |
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| 基金项目： | 国家自然科学基金(No.60574002). |
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| 摘 要： | 本文通过积分检验, 刻画了不同分布的$\varphi$-混合序列后置和的极限结果,并由此导出了它们的Chover型重对数律,推广和改进了已有的结果.
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| 关 键 词： | 稳定律 重对数律 后置和 积分检验. |
| 收稿时间： | 2006/7/13 0:00:00 |
| 修稿时间： | 2007/11/22 0:00:00 |
Limiting Behavior of Delayed Sums of $\varphi$-Mixing under a Non-Identical Distribution Setup |
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| CHEN Ping Yan and LI Feng Ling.Limiting Behavior of Delayed Sums of $\varphi$-Mixing under a Non-Identical Distribution Setup[J].Journal of Mathematical Research with Applications,2008,28(3):628-636. |
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| Authors: | CHEN Ping Yan and LI Feng Ling |
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| Institution: | Department of Mathematics, Jinan University, Guangdong 510630, China; Department of Statistics, Jinan University, Guangdong 510630, China;Department of Statistics, Jinan University, Guangdong 510630, China |
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| Abstract: | We present an integral test to determine the limiting behavior of delayed sums under a non-identical distribution setup for $\varphi$-mixing sequence, and deduce Chover-type laws of the iterated logarithm for them. These complement and extend the results of Vasudeva and Divanji$^{1]}$ and Chen et al.$^{2]}$. |
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| Keywords: | stable distribution laws of the iterated logarithm delayed sum integral test |
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