非负随机变量序列的前凸依概率收敛
Forward-convex convergence in probability of sequences of nonnegative random variables
摘要：
对于非负随机变量序列，我们给出了简单的充要条件和充分条件，以确保其前向凸组合的每个序列依概率收敛到相同的极限。这些条件对应于一致可积性概念的一个基本上无测度的版本。
英文摘要：
For a sequence of nonnegative random variables, we provide simple necessary and sufficient conditions to ensure that each sequence of its forward convex combinations converges in probability to the same limit. These conditions correspond to an essentially measure-free version of the notion of uniform integrability.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
