讨论了不同分布的卢混合序列的完全收敛性、Marcinkiewicz强大数律及几乎处处收敛性,并获得了不同分布卢混合序列满足完全收敛性的一个充分性结果.所得结果把蔡光辉等的结论推广到了不同分布卢混合序列的情形,并且改进了甘师信的结论,去掉了其定理条件中的log n因子.
Complete convergence and Marcinkiewicz's strong law and almost sure convergence for n-mixing random sequences with different distributions are discussed. A sufficient conclusion for the complete convergence is obtained, which is an extended result given by Cai Guang-hui. The results are generalized to n-mixing random sequences with different distributions. The results given by Gan Shi-xin are impoved and the log n factor of Theorems is removed.