Log Gaussian Cox processes

Log Gaussian Cox processes
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DOI:
10.1111/1467-9469.00115
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发表时间:
1998-09-01
影响因子:
1
通讯作者:
Waagepetersen, RP
Waagepetersen, RP
中科院分区:
数学4区
文献类型:
--
作者:
Moller, J;Syversveen, AR;Waagepetersen, RP

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在单变量和多变量情况下,研究了对数高斯强度过程指导下的平面Cox过程。通过数据算例和仿真,从理论上证明了该模型具有良好的性质。特别是,研究了一阶、二阶和三阶性质,并将其用于聚集点模式的统计分析。此外,还考虑了对下垫面强度的经验贝叶斯推断。
Planar Cox processes directed by a log Gaussian intensity process are investigated in the univariate and multivariate cases. The appealing properties of such models are demonstrated theoretically as well as through data examples and simulations. In particular, the first, second and third-order properties are studied and utilized in the statistical analysis of clustered point patterns. Also empirical Bayesian inference for the underlying intensity surface is considered.