论文标题
强大的法律，用于无限增加的随机字段功能的大量法律
Strong Law of Large Numbers for Functionals of Random Fields With Unboundedly Increasing Covariances
论文作者
论文摘要
本文证明了随机场的积分功能的强大定律，其协方差不断增加。研究了功能数据和增加的域渐进性的情况。保证大量规律所规定的条件是正确的。所考虑的方案包括广泛的非平稳随机字段。给出了有关应用于弱和远程依赖的随机字段和数值示例的讨论。
The paper proves the Strong Law of Large Numbers for integral functionals of random fields with unboundedly increasing covariances. The case of functional data and increasing domain asymptotics is studied. Conditions to guarantee that the Strong Law of Large Numbers holds true are provided. The considered scenarios include wide classes of non-stationary random fields. The discussion about application to weak and long-range dependent random fields and numerical examples are given.
