摘要
Stout在文献[1]中留下如下一个问题:在文献[1]定理4.1.5的条件下已推出a.s.收敛的结果,问能否推出完全收敛的结果?该文对此问题作了圆满的回答,并加强和推广了文献[1]中定理4.1.5的结论.
Stout left a question in paper [1]. Stout got almost sure result under the condition of theorem 4. 1.5 in paper [1]. The question is that the complete convergence is ture or not under the condition of theorem 4. 1.5 in paper [1]. In this paper we get the answer. And we improve and generalize the result of theorem 4. 1.5 in paper [1].
出处
《浙江工商大学学报》
2006年第3期14-16,共3页
Journal of Zhejiang Gongshang University
基金
国家自然科学基金资助项目(10471126)
关键词
独立加权和
完全收敛性
A.S.收敛
ρ*-混合序列
independent weighted sums
complete convergence
almost sure convergence
ρ^*-mixing sequences