| 混合序列部分和的若干收敛性质 |
| |
| 引用本文： | 胡学平,桂春燕.混合序列部分和的若干收敛性质[J].数学杂志,2012(3):521-528. |
| |
| 作者姓名： | 胡学平 桂春燕 |
| |
| 作者单位： | 安庆师范学院数学与计算科学学院 |
| |
| 基金项目： | 安徽省教育厅自然科学基金重点项目(Kj2010A234;kj2012Z233) |
| |
| 摘 要： | 本文研究了混合序列部分和的若干收敛性质.利用Serfling不等式推广情形,证明了一类随机变量序列部分和的一个收敛性结果,获得了混合序列部分和的收敛性,并进一步得到了混合序列加权和的强收敛性和完全收敛性,推广并改进了文2]中有关结果.
|
| 关 键 词： | 混合序列 Serfling不等式 随机变量部分和 强收敛性 完全收敛性 |
SOME CONVERGENCE PROPERTIES FOR THE PARTIAL SUMS OF MIXING SEQUENCES |
| |
| HU Xue-ping,GUI Chun-yan.SOME CONVERGENCE PROPERTIES FOR THE PARTIAL SUMS OF MIXING SEQUENCES[J].Journal of Mathematics,2012(3):521-528. |
| |
| Authors: | HU Xue-ping GUI Chun-yan |
| |
| Institution: | (School of Mathematics and Computation Science,Anqing Teachers College,Anqing 246113,China) |
| |
| Abstract: | In this paper,some convergence properties for the partial sums of mixing sequences are investigated.By applying the extended Serfling inequality,the almost sure convergence for the partial sums of a class of random variables sequence is obtained and the convergence for the partial sums and the complete convergence for the weighted sums of -mixing sequences are shown.Some results extend and sharpen the corresponding results in2]. |
| |
| Keywords: | -mixing sequences Serfling inequality partial sums of random variables strong convergence complete convergence |
| 本文献已被 CNKI 等数据库收录！ |
