| 摘要: |
| 建立同分布j-混合序列的最大值不等式.并且作为应用,获得了随机变量supn ≥ 1(Sn/n)的一阶矩及p(p ≥ 1)阶矩分别存在有限的充要条件. |
| 关键词: ψ-混合序列 最大值不等式 极大值函数 |
| DOI： |
| 投稿时间：2004-10-15修订日期：2005-06-28 |
| 基金项目:广西自然科学基金资助项目(No.04047029)。 |
|
| Maximum Inequality and Its Application of ψ-Mixing Sequence with Identical Distribution |
|
Xing Guodong, Yang Shanchao
|
| (Department of Mathematics, Guangxi Normal University, Guilin, Guangxi, 541004, China) |
| Abstract: |
| The maximum inequality of j-mixing sequence with identical distribution was established.As its application,the sufficient and essential condition of one moment and p(p ≥ 1) moment for the variable supn ≥ 1(Sn/n) were obtained. |
| Key words: j-mixing sequence maximum inequality maximum function |
