Joint second-order parameter estimation for spatio-temporal log-Gaussian Cox processes

被引：14

作者：

Siino, Marianna ^{[1
]}

Adelfio, Giada ^{[1
,2
]}

Mateu, Jorge ^{[3
]}

机构：

[1] Univ Palermo, Dipartimento Sci Econ Aziendali & Stat, Palermo, Italy

[2] Ctr Nazl Terremoti, Ist Nazl Geofis & Vulcanol, Rome, Italy

[3] Univ Jaume 1, Dept Math, Castellon De La Plana, Castellon, Spain

来源：

STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT | 2018年 / 32卷 / 12期

关键词：

Earthquakes; Log-Gaussian Cox processes; Minimum contrast method; Non-separable covariance function; Spatio-temporal pair correlation function; 2-STEP ESTIMATION; POINT; MODELS; PREDICTION; SELECTION; PACKAGE; DISEASE;

D O I：

10.1007/s00477-018-1579-0

中图分类号：

X [环境科学、安全科学];

学科分类号：

08 ; 0830 ;

摘要：

We propose a new fitting method to estimate the set of second-order parameters for the class of homogeneous spatio-temporal log-Gaussian Cox point processes. With simulations, we show that the proposed minimum contrast procedure, based on the spatio-temporal pair correlation function, provides reliable estimates and we compare the results with the current available methods. Moreover, the proposed method can be used in the case of both separable and non-separable parametric specifications of the correlation function of the underlying Gaussian Random Field. We describe earthquake sequences comparing several Cox model specifications.

引用

页码：3525 / 3539

页数：15

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