论文标题
固定随机字段上群集功能的依赖性lindeberg中心限制定理
A dependent Lindeberg central limit theorem for cluster functionals on stationary random fields
论文作者
论文摘要
在本文中，我们为经验过程的有限维边分布提供了一个中心限制定理。结果的实用性和适用性主要取决于通常的lindeberg条件和序列$ t_n $，总结了随机字段值的块之间的依赖性。最后，作为应用程序，我们使用先前的结果来显示本文中引入的ISO-超图估计量的高斯渐近行为。
In this paper, we provide a central limit theorem for the finite-dimensional marginal distributions of empirical processes $(Z_n(f))_{f\in\mathcal{F}}$ whose index set $\mathcal{F}$ is a family of cluster functionals valued on blocks of values of a stationary random field. The practicality and applicability of the result depends mainly on the usual Lindeberg condition and a sequence $T_n$ which summarizes the dependence between the blocks of the random field values. Finally, as application, we use the previous result in order to show the Gaussian asymptotic behavior of the iso-extremogram estimator introduced in this paper.
