%0 Journal Article
%T Limit Theorems For The Integration Of Measurable Function Sequence With Respect To Weak Convergence Probability Measure Sequence<br>可测函数序列关于弱收敛概率测度序列积分的极限定理
%A HUO Yongliang
%A LIU Sanyang
%A <br>霍永亮
%A 刘三阳
%J 系统科学与数学
%D 2008
%I 
%X Limit theorems and dominated convergence theorems for the integration of measurable function sequence with respect to weak convergence probability measure sequence are studied and some new equivalent conditions of weak convergence of probability measure are obtained.
%K Limit theorem
%K dominated convergence theorems
%K weak equi-tight
%K uniformly integrable<br>极限定理
%K 控制收敛定理
%K 弱等度胎紧
%K 一致可积
%K 函数序列
%K 收敛概率
%K 度序列
%K 积分
%K 极限定理
%K SEQUENCE
%K PROBABILITY
%K MEASURE
%K WEAK
%K CONVERGENCE
%K FUNCTION
%K INTEGRATION
%K 等价条件
%K 概率测度弱收敛
%K 控制收敛定理
%K 研究
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=1B0818FAE56E4533E8CAAE16460B637C&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=B31275AF3241DB2D&sid=6452E1221020E61F&eid=E5ED9059DE792E50&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=1&reference_num=9