论文标题
无相关的设置值随机变量的大量定律
Laws of Large Numbers for Uncorrelated Set-Valued Random Variables
论文作者
论文摘要
随着不相关的单值随机变量的扩展，本文研究了设置值的情况。当基础空间具有有限的维度时，通过使用支持功能，我们将证明，从Hausdorff Metric $ d_h $的意义上讲，对于不相关的设置值随机变量的弱和强定律。我们的结果推广了大数字的弱和强定律，用于独立分布或独立的集合随机变量。
As the extension of uncorrelated single-valued random variables, set-valued case is studied in this paper. When the underlying space is of finite dimension, by using the support function, We shall prove the weak and strong laws of large numbers for uncorrelated set-valued random variables in the sense of Hausdorff metric $d_H$. Our results generalize weak and strong laws of large numbers for independent identically distributed or independent set-valued random variables.
