用IndTestPP分析点进程间的时间依赖性

R J. Pub Date : 2021-01-01 DOI:10.32614/rj-2021-049
A. Cebrián, J. Asín
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引用次数: 0

摘要

在许多与事件发生相关的建模问题中,都需要分析两个或多个点过程之间在时间上的依赖关系,例如气候事件在不同空间位置的发生或尖峰序列分析中的同步检测。IndTestPP包为这类分析的所有步骤提供了一个总体框架,其主要特点之一是实施了三组测试,根据流程的强度来研究独立性,这不仅有助于评估独立性,而且有助于确定导致依赖性的因素。该包还包括用于生成不同类型的相关点过程的函数,并使用它们实现计算统计推断工具。一个应用程序,以表征极端热事件的发生之间的依赖关系,在三个西班牙地点使用包显示。
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Analyzing Dependence between Point Processes in Time Using IndTestPP
The need to analyze the dependence between two or more point processes in time appears in many modeling problems related to the occurrence of events, such as the occurrence of climate events at different spatial locations or synchrony detection in spike train analysis. The package IndTestPP provides a general framework for all the steps in this type of analysis, and one of its main features is the implementation of three families of tests to study independence given the intensities of the processes, which are not only useful to assess independence but also to identify factors causing dependence. The package also includes functions for generating different types of dependent point processes, and implements computational statistical inference tools using them. An application to characterize the dependence between the occurrence of extreme heat events in three Spanish locations using the package is shown.
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