中文摘要：

对随机变量部分和的尾概率估计问题一直是概率论与数理统计中一个重要课题。在任意阶矩存在但矩母函数不存在条件下,利用截尾技术及指数不等式,获得了同分布END序列的完全收敛性,推广并改进了Gut和Stadtmuller得到的有关结果。

英文摘要：

It is always an important topic in probability theory and mathematical statistics to estimate the tail probability of random variables. By using truncation technique and exponential inequality,the complete convergence is obtained for END random variables with all moments exist,but the moment generating function does not exist. The main result extends the related work due to Gut and Stadtmuller.