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φ混合序列部分和的完全收敛性质 被引量:2

Complete convergence properties for partial sums of φ-mixing random variable sequences
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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.
作者 王瑶 黄海午
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
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