Cox Processes

以下翻译自：

Recent Applications of Point Process Methods in Forestry Statistics

该文以林业木材统计为背景，分析了相关的统计学应用。下面主要翻译第6部分:

点过程

Cox过程

对于树木模型来说，Cox模型是一类十分灵活而且重要的方法。Cox过程可以看做是two-stage random mechanism;因此“双随机过程”这个名字被经常使用。模型第一步，对非负函数λ(x)进行采样，随后计算参数为λ(x)的非齐次泊松过程。

近年来，Cox过程在增加复杂性和应用性上有所进展。早期的模型均为泊松聚类过程(Poisson cluster processes)，例如 Mat′ern’s cluster process。这里的λ(x)通过对非其次泊松过程的密度λp的采样点xi的均值来得到。

λ(x)=μ∑i=1∞1b(xi,R)(x)

这里的b(xi,R)为以xi为中心半径为R圆面

未完待续

来自为知笔记(Wiz)

时间： 2024-08-15 23:20:03

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