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Some Convergence Theorems of Uncertain Sequences

Some Convergence Theorems of Uncertain Sequences

作     者:Cuilian You~(1,2) ~1Department of Mathematical Sciences Tsinghua University,Beijing 100084,China ~2Department of Mathematics and Computer Science Hebei University,Baoding 071002,China 

会议名称:《第五届中国不确定系统年会》

会议日期:2007年

学科分类:02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学(可授理学、经济学学位)] 070103[理学-概率论与数理统计] 0701[理学-数学] 

关 键 词:Uncertain measure Uncertain variable Expected value Convergence 

摘      要:正Uncertain variables are measurable func- tions from uncertainty spaces to the set of real num- *** order to discuss the mathematical properties of uncertain sequences,some limit theorems based on continuous uncertain measure are *** ad- dition,a new kind of convergence,convergence uni- formly almost surely,is ***,relation- ships between convergence almost surely uniformly and convergence almost surely,convergence in mea- sure,convergence in mean,and convergence in distri- bution are discussed.

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