摘要
为了建立一类任意随机序列级数的强极限定理,利用鞅差序列级数收敛定理主要讨论了在p≥t(1≤t≤2)下任意随机序列级数的强收敛性,进一步完善了该序列的一个强极限定理.作为推论得到了p≥2下一类任意随机序列级数的强收敛性,推广了某些经典的鞅差序列级数收敛性的一个结果.
The paper studys the strong convergence theorems for the arbitrary stochastic sequences by the convergence theorem for martingale-difference sequences. As the conditional p≥t(1≤t≤2), A strong limit theorem is obtained . As corollaries, We obtained the result on some classical martingale-difference sequence convergence which has been known as the particular case of the result of this paper.
出处
《江南大学学报(自然科学版)》
CAS
2007年第3期371-373,共3页
Joural of Jiangnan University (Natural Science Edition)
基金
国家自然科学基金项目(10571076)
关键词
随机序列
鞅
鞅差序列
强极限定理
stochastic sequence
martingale
martingale-difference sequence
strong limit theorem