摘要
研究一类较广泛的φ?混合序列概率极限性质.利用φ?混合序列的矩不等式和截尾的处理方法,获得φ?混合序列部分和的完全收敛定理,所得结论推广和改进了王学军等[4]关于φ?混合序列部分和的强大数定律结果.
We studied probability limit properties of φ -mixing random variable sequences. By using the moment inequality of φ -mixing random variable sequences and the truncated method, some complete convergence theorems for partial sums of φ -mixing random variable sequences were obtained. These results generalized and improved the corresponding strong laws of larger numbers of Wang for partial sums of φ - mixing random variable sequences.
出处
《湖北大学学报(自然科学版)》
CAS
2015年第3期218-221,共4页
Journal of Hubei University:Natural Science
基金
国家自然科学基金(11401127)
广西自然科学基金(2014GXNSFBA118006)
广西高校科研项目(2013YB104)资助
关键词
Φ混合序列
完全收敛性
强大数定律
φ-mixing sequences
complete convergence
strong law of large numbers