摘要
(α,β)混合序列是一类极其广泛的随机变量序列.利用(α,β)混合序列的矩不等式研究(α,β)混合序列加权和的Rosenthal型不等式.在此基础上重点讨论(α,β)混合序列加权和的强大数定律,进一步研究广义Jamison型加权和的强收敛性.
( α,β) mixing sequence is an extremly wide range of Random sequence. Using the( α,β)mixing sequence's moment inequality,we investigated the Rosenthal's type of inequality of the( α,β) mixing sequence's weighted sum. On this basis,emphatically discussed the strong law of large numbers of the( α,β)mixing sequence's weighted sum,and then investigated the generalized Jamison' s type of weighted sum and strong convergence theorems.
出处
《湖北大学学报(自然科学版)》
CAS
2016年第6期477-483,487,共8页
Journal of Hubei University:Natural Science
关键词
(α
β)混合序列
矩不等式
加权和
Rosenthal不等式
强大数定律
强收敛性
(α
β) mixing sequence
moment inequality
weighted sum
Rosenthal's type of inequality
strong law of large numbers
strong convergence theorems