NSD随机变量序列的完全收敛性
Complete Convergence for NSD Random Variable Sequences
-
摘要: 本文利用NSD随机变量序列的性质、矩不等式及三级数定理,在一定的矩条件下, 得到了~NSD~随机变量序列的完全收敛性.所得结果推广了Chow与Lai15,16与Jajte17的独立序列的结果.Abstract: In this paper, using the property of NSD random variable sequence, moment inequality and three series theorem, we obtain complete convergence for NSD random variables sequences under certain moment conditions. The results generalize the results of independent sequences for Chow and Lai\ucite15,16 and Jajte\ucite17.