湖北大学学报(自然科学版)
湖北大學學報(自然科學版)
호북대학학보(자연과학판)
2015年
3期
218-221
,共4页
φ?混合序列%完全收敛性%强大数定律
φ?混閤序列%完全收斂性%彊大數定律
φ?혼합서렬%완전수렴성%강대수정률
φ?-mixing sequences%complete convergence%strong law of large numbers
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.①
研究一類較廣汎的φ?混閤序列概率極限性質.利用φ?混閤序列的矩不等式和截尾的處理方法,穫得φ?混閤序列部分和的完全收斂定理,所得結論推廣和改進瞭王學軍等[4]關于φ?混閤序列部分和的彊大數定律結果.①
연구일류교엄범적φ?혼합서렬개솔겁한성질.이용φ?혼합서렬적구불등식화절미적처리방법,획득φ?혼합서렬부분화적완전수렴정리,소득결론추엄화개진료왕학군등[4]관우φ?혼합서렬부분화적강대수정률결과.①
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[4] for partial sums of φ?-mixing random variable sequences.