Laws of Large Numbers of Negatively Correlated Random Variables for Capacities  

作　　者：Wen-juan LI Zeng-jing CHEN 

机构地区：[1]School of Mathematics, Shandong University, Jinan 250100, China

出　　处：《Acta Mathematicae Applicatae Sinica》2011年第4期749-760,共12页应用数学学报（英文版）

基　　金：Supported by the National Basic Research Program of China (973 Program, No. 2007CB814901)

摘　　要：Our aim is to present some limit theorems for capacities. We consider a sequence of pairwise negatively correlated random variables. We obtain laws of large numbers for upper probabilities and 2-alternating capacities, using some results in the classical probability theory and a non-additive version of Chebyshev＇s inequality and Boral-Contelli lemma for capacities.Our aim is to present some limit theorems for capacities. We consider a sequence of pairwise negatively correlated random variables. We obtain laws of large numbers for upper probabilities and 2-alternating capacities, using some results in the classical probability theory and a non-additive version of Chebyshev＇s inequality and Boral-Contelli lemma for capacities.

关 键 词：law of large numbers 2-alternating capacity negatively correlated random variables upper probability 

分 类 号：O211.5[理学—概率论与数理统计] TU411[理学—数学]