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