Testing the weak stationarity of a spatio-temporal point process

被引：0
|
作者：
Mohammad Ghorbani
机构：
[1] Aalborg University,Department of Mathematical Sciences
[2] University of Tabriz,Member of the Department of Statistics
来源：
Stochastic Environmental Research and Risk Assessment | 2013年 / 27卷
关键词：
Pair correlation function; Second-order intensity-reweighted stationarity; Kernel estimate; First-order separability; Homogeneity; Square difference;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A common assumption in analyzing spatial and spatio-temporal point processes is stationarity, while in many real applications because of the environmental effects the stationarity condition is not often met. We propose two types of test statistics to test stationarity for spatio-temporal point processes, by adapting, Palahi, Pukkala & Mateu (2009) and by considering the square difference between observed and expected (under stationarity) intensities. We study the efficiency of the new statistics by simulated data, and we apply them to test the stationarity of real data.
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页码：517 / 524
页数：7
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