节点文献
任意随机序列级数的强收敛性
Strong Convergence Theorems for Arbitrary Stochastic Sequence Series
【摘要】 利用鞅差序列级数收敛定理研究任意随机序列级数的强收敛性,得到了该序列的一个强极限定理,某些经典的鞅差序列和独立随机变量序列的强极限定理是其特例.
【Abstract】 In this paper, the authors study the strong convergence of series on the arbitrary stochastic sequences by the convergence theorem for martingale-difference series. A strong limit theorem is obtained. Some classical strong limit theorems on martingale-difference sequence and independent stochastic sequences are the particular cases of the result of this paper.
- 【文献出处】 数学的实践与认识 ,Mathematics In Practice and Theory , 编辑部邮箱 ,2005年08期
- 【分类号】O173.1
- 【被引频次】3
- 【下载频次】108