摘要
首先建立了ρ*混合序列的Hájeck-Rènyi型不等式,然后利用该不等式证明ρ*混合序列的a.s.收敛性和关于矩的结论;再利用截尾的方法,得到了它的完全收敛性,将独立序列完全收敛性的结论推广到了ρ*混合序列.
First, Hájeck-Rènyi-type inequalities for the ρ~*-mixing sequences are estabilished. Then some convergence properties are discussed for ρ~*-mixing sequences. With the inequalities above, the a.s. convergence and a moment result are showed; and by applying truncation, the complete convergence is proved as well which is the same with i.i.d. sequences.
出处
《浙江大学学报(理学版)》
CAS
CSCD
北大核心
2005年第1期25-29,共5页
Journal of Zhejiang University(Science Edition)
基金
国家自然科学基金资助项目(10131040)
博士点专项基金(2002335090)资助项目.