ρ^--混合序列部分和之和乘积的几乎处处中心极限定理

Almost Sure Central Limit Theorem for Products of Sums of Partial Sums for ρ^--Mixing Sequences

设{X,Xn}n∈N为一严平稳的ρ--混合随机变量序列,利用混合序列加权和的中心极限定理及矩不等式,获得了权重为dk=k-1exp{logαk}(0≤α<1/2)的ρ--混合序列部分和之和乘积的几乎处处中心极限定理.

Let{X,Xn}n∈Nbe a strictly stationary sequence ofρ^--mixing random variables,on the basis of which almost sure central limit theorem with weight dk=k-1exp{logαk}（0≤α1/2）was obtained for the product of sums of partial sums by virtue of central limit theorem of weighted sums and the moment inequality.