标题： 一个新的次线性期望下的中心极限定理 显示英文标题

标题： A New Central Limit Theorem under Sublinear Expectations

摘要： 我们描述了一个新的次线性期望空间框架及相关分布、独立性的概念和结果。引入了一个新的 G-分布概念，它以一种能够描述均值不确定性的方式推广了我们的 G-正态分布。我们展示了次线性期望下的新中心极限定理。该定理也可以被视为在均值不确定性情况下大数定律的推广。 显示英文摘要

摘要： We describe a new framework of a sublinear expectation space and the related notions and results of distributions, independence. A new notion of G-distributions is introduced which generalizes our G-normal-distribution in the sense that mean-uncertainty can be also described. W present our new result of central limit theorem under sublinear expectation. This theorem can be also regarded as a generalization of the law of large number in the case of mean-uncertainty.