中国科学技术大学学报
中國科學技術大學學報
중국과학기술대학학보
JOURNAL OF UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA
2011年
9期
778-784,795
,共8页
沈燕%张永军%王学军%胡舒合
瀋燕%張永軍%王學軍%鬍舒閤
침연%장영군%왕학군%호서합
强稳定性%加权和%(α,β)混合序列
彊穩定性%加權和%(α,β)混閤序列
강은정성%가권화%(α,β)혼합서렬
strong stability%weighted sums%(α,β)-mixing sequences
研究了(α,β)混合序列的收敛定理并得到(α,β)混合序列加权和的强稳定性.并且还得到一些新的大数定理.这些结果推广了独立序列的相应结果.
研究瞭(α,β)混閤序列的收斂定理併得到(α,β)混閤序列加權和的彊穩定性.併且還得到一些新的大數定理.這些結果推廣瞭獨立序列的相應結果.
연구료(α,β)혼합서렬적수렴정리병득도(α,β)혼합서렬가권화적강은정성.병차환득도일사신적대수정리.저사결과추엄료독립서렬적상응결과.
Some convergence theorems for (α,β)-mixing random variables were studied and some results on strong stability for weighted sums of (a,β)-mixing random variables were presented.Some new strong laws for large numbers were also obtained.These results generalize the corresponding results of independent random variable sequences.