Geometric Anisotropic Spatial Point Pattern Analysis and Cox Processes
Geometric Anisotropic Spatial Point Pattern Analysis and Cox Processes
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几何各向异性空间点模式分析和 Cox 过程
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
Håkon Toftaker
中科院分区：
文献类型：
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作者：
Jesper Møller;Håkon Toftaker
我们考虑空间点过程与一对相关函数，它只依赖于一对点之间的滞后向量。我们的兴趣是在统计模型与一种特殊的“结构化”各向异性：对相关函数是几何各向异性，如果它是椭圆形的，但不是球形的。特别是，我们研究了考克斯过程模型的椭圆对相关函数，包括散粒噪声考克斯过程和对数高斯考克斯过程，我们开发的估计程序，使用汇总统计和贝叶斯方法。我们的方法说明了真实的和合成数据集的空间点模式。
We consider spatial point processes with a pair correlation function, which depends only on the lag vector between a pair of points. Our interest is in statistical models with a special kind of ‘structured’ anisotropy: the pair correlation function is geometric anisotropic if it is elliptical but not spherical. In particular, we study Cox process models with an elliptical pair correlation function, including shot noise Cox processes and log Gaussian Cox processes, and we develop estimation procedures using summary statistics and Bayesian methods. Our methodology is illustrated on real and synthetic datasets of spatial point patterns.