关于概率空间与次线性期望空间中的随机变量一致可积性的一个注记（英文）  

A Note on Uniform Integrability of Random Variables in a Probability Space and Sublinear Expectation Space

作　　者：胡泽春[1] 周倩倩 HU Zechun;ZHOU Qianqian(College of Mathematics,Sichuan University,Chengdu,610064,China;School of,Mathematical Sciences,Nankai University,Tianjin,300071,China;Department of,Mathematics,Nanjing University,Nanjing,210093,China)

机构地区：[1]四川大学数学学院,成都610064 [2]南开大学数学科学学院,天津300071 [3]南京大学数学系,南京210093

出　　处：《应用概率统计》2018年第6期577-586,共10页Chinese Journal of Applied Probability and Statistics

基　　金：supported by the National Natural Science Foundation of China(Grant No.11771309);the Fundamental Research Funds for the Central Universities

摘　　要：在这篇注记中我们讨论随机变量的一致可积性.在概率空间中,我们引进了随机变量一致可积性的两个新的定义,并证明了他们与经典定义等价.在次线性期望空间中,我们给出了随机变量一致可积性的德拉瓦利普桑准则,并作了一些其它讨论.In this note we discuss uniform integrability of random variables.In a probability space,we introduce two new notions on uniform integrability of random variables,and prove that they are equivalent to the classic one.In a sublinear expectation space,we give de La Vallee Poussin criterion for the uniform integrability of random variables and do some other discussions.

关 键 词：一致可积性 次线性期望 

分 类 号：O211.4[理学—概率论与数理统计] O211.5[理学—数学]