Abstract

This article presents a statistic to identify the proportional intensity of an area to belong to a space-time cluster, which is very important in spatial statistics. A significant extension of the so-called F$\mathcal{F}$$\mathcal{F}$-function has been described in detail, which, associated with new technology, allows the evaluation of the intensity of change moments in the time process and outline possible occurrences of clusters. The justification of the study is performed through an extensive review of the current literature of the area. The developed algorithms are detailed via computational experiments with simulated data. Real situations are presented and discussed in detail. Finally, topics for future research are indicated.

摘要

本文提出了一种统计方法，用于识别某个区域属于时空簇的比例强度，这在空间统计中非常重要。所谓的显着扩展F$\mathcal{F}$$\mathcal{F}$-功能已被详细描述，该功能与新技术相关联，允许评估时间过程中变化时刻的强度并概述可能出现的簇。该研究的合理性是通过对该领域当前文献的广泛回顾来进行的。所开发的算法通过模拟数据的计算实验进行了详细说明。真实情况被呈现并详细讨论。最后，指出了未来研究的主题。