一类随机变量部分和极大\,Serfling\,不等式及其应用

华东师范大学学报(自然科学版) ›› 2013, Vol. 2013 ›› Issue (6): 68-73.

一类随机变量部分和极大\,Serfling\,不等式及其应用

李会葆, 胡学平

安庆师范学院~~数学与计算科学学院, 安徽~~安庆 246133

收稿日期:2012-12-01 修回日期:2013-03-01 出版日期:2013-11-25 发布日期:2014-01-13

Maximal Serfling inequalities for the partial sums of random variables sequence and its application

LI Hui-bao, HU Xue-ping

School of Mathematics and Computation Science, Anqing Teachers College, Anqing Anhui 246113, China

Received:2012-12-01 Revised:2013-03-01 Online:2013-11-25 Published:2014-01-13

摘要/Abstract

摘要： 利用\,Serfling\,不等式得到了一类随机变量序列的矩不等式,
然后运用这些矩不等式探讨了相应随机变量序列部分和的大偏差和强收敛性,
所获结论推广和改进了相关文献已有结果.

关键词: Serfling\,不等式, 随机变量部分和, 大偏差, 强收敛性

Abstract: Using the Serfling inequality, some moment inequalities
for the partial sums of a class of random variables sequence are
obtained, then we mainly discuss the large deviation and the strong
convergence by applying these moment inequalities. Some results in
relative literature are extended and sharpened.

Key words: Serfling inequality, partial sums of random variables, large deviation, strong convergence

中图分类号:

O211.62

李会葆, 胡学平. 一类随机变量部分和极大\,Serfling\,不等式及其应用[J]. 华东师范大学学报(自然科学版), 2013, 2013(6): 68-73.

LI Hui-bao, HU Xue-ping. Maximal Serfling inequalities for the partial sums of random variables sequence and its application[J]. Journal of East China Normal University(Natural Sc, 2013, 2013(6): 68-73.