吉林大学学报(理学版)
吉林大學學報(理學版)
길림대학학보(이학판)
Journal of Jilin University (Science Edition)
2015年
5期
939-942
,共4页
~φ 混合序列%加权和%强极限收敛性
~φ 混閤序列%加權和%彊極限收斂性
~φ 혼합서렬%가권화%강겁한수렴성
~φ-mixing sequence%weighted sum%strong limit convergence properties
利用~φ混合序列矩不等式和截尾的处理方法,研究非同分布~φ混合序列加权和强极限收敛性质的问题,得到了若干新结果,推广并改进了独立同分布情形下的相应结果。
利用~φ混閤序列矩不等式和截尾的處理方法,研究非同分佈~φ混閤序列加權和彊極限收斂性質的問題,得到瞭若榦新結果,推廣併改進瞭獨立同分佈情形下的相應結果。
이용~φ혼합서렬구불등식화절미적처리방법,연구비동분포~φ혼합서렬가권화강겁한수렴성질적문제,득도료약간신결과,추엄병개진료독립동분포정형하적상응결과。
With the help of the moment inequality of ~φ-mixing sequences and the truncated method, the problems of strong limit convergence properties for weighed sums of ~φ-mixing sequences with non-identical distributed were resolved, and some new results were established. The obtained theorems generalize and improve the corresponding results of independent and identically distributed random variables.