ρ-混合序列部分和的几乎处处收敛性

利用ρ^-混合序列的Rosenthal型最大值不等式, 讨论了ρ^-混合序列的强收敛性; 在未附加任何其他条件的情况下, 得到了独立情形的Hintchine Kolmogorov收敛定理、 Marcinkiewicz强大数定律和三级数定理.

Almost Everywhere Convergences Partial Sum for ρ--Mixing Sequences

Using a Rosenthal-type inequality for maximum of partial sums for ρ^--mixing random variables, we discussed strong conveigence forρ^--mixing random sequences. And we extended the classical Hintchine Kolmogorov convergence theorem, Marcinkiewicz strong law of large numbers, and the three series theorem etc. for independent sequences of random variables to ρ-mixing sequences of random variables without necessarily adding any extra conditions.