关于弱平稳 $\varphi$-混合集值随机变量序列的强大数律
概率论
2026-03-11 v3
摘要
在本文中,我们将 -混合的概念推广到取值于 Banach 空间闭子集族的集值随机序列。我们陈述并证明了此类 -混合序列的几个强大数律。说明性例子表明定理的假设既自然又精确。
引用
@article{arxiv.2601.09197,
title = {On strong law of large numbers for weakly stationary $\varphi$-mixing set-valued random variable sequences},
author = {Luc Tri Tuyen},
journal= {arXiv preprint arXiv:2601.09197},
year = {2026}
}
备注
Accepted for publication in Journal of Mathematical Analysis and Applications