工程数学学报
工程數學學報
공정수학학보
CHINESE JOURNAL OF ENGINEERING MATHEMATICS
2010年
6期
1118-1124
,共7页
(φ)-混合随机变量序列%弱大数定律%完全收敛性
(φ)-混閤隨機變量序列%弱大數定律%完全收斂性
(φ)-혼합수궤변량서렬%약대수정률%완전수렴성
(φ)-mixing random variable sequence%weak law of large numbers%complete convergence
在本文中,作者研究了(φ)-混合序列的极限性质.得到了经典的弱收敛定理和完全收敛定理,将独立情形下的弱大数定律、Baum和Katz完全收敛性定理推广到了(φ)-混合序列,而未额外添加任何条件.
在本文中,作者研究瞭(φ)-混閤序列的極限性質.得到瞭經典的弱收斂定理和完全收斂定理,將獨立情形下的弱大數定律、Baum和Katz完全收斂性定理推廣到瞭(φ)-混閤序列,而未額外添加任何條件.
재본문중,작자연구료(φ)-혼합서렬적겁한성질.득도료경전적약수렴정리화완전수렴정리,장독립정형하적약대수정률、Baum화Katz완전수렴성정리추엄도료(φ)-혼합서렬,이미액외첨가임하조건.
In this article, we study some limit properties for sequences of (φ)-mixing random variables. The classical weak law of large number and the Baum and Katz complete convergence theorem are established. They extend and improve the corresponding results from independent sequences of random variables to (φ)-mixing sequences without imposing any unnecessarily extra conditions. Some well-known results are improved and extended.
