(α,β)混合序列加权和的强收敛性

Strong convergence theorems of weighted sum for (α,β) mixing sequences

(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.