Including covariates in a space-time point process with application to seismicity

被引:15
|
作者
Adelfio, Giada [1 ,2 ]
Chiodi, Marcello [1 ,2 ]
机构
[1] Univ Palermo, Dipartimento Sci Econ Aziendali & Stat, Palermo, Italy
[2] Ist Nazl Geofis & Vulcanol INGV, Palermo, Italy
来源
STATISTICAL METHODS AND APPLICATIONS | 2021年 / 30卷 / 03期
关键词
Space-time point processes; ETAS model; R package for seismic data; Covariates; RESIDUAL ANALYSIS; PROCESS MODELS; DIAGNOSTICS; OCCURRENCES;
D O I
10.1007/s10260-020-00543-5
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
The paper proposes a spatio-temporal process that improves the assessment of events in space and time, considering a contagion model (branching process) within a regression-like framework to take covariates into account. The proposed approach develops the forward likelihood for prediction method for estimating the ETAS model, including covariates in the model specification of the epidemic component. A simulation study is carried out for analysing the misspecification model effect under several scenarios. Also an application to the Italian seismic catalogue is reported, together with the reference to the developed R package.
引用
收藏
页码:947 / 971
页数:25
相关论文
共 50 条
  • [31] Seismicity analysis using space-time density peak clustering method
    Rahul Kumar Vijay
    Satyasai Jagannath Nanda
    Pattern Analysis and Applications, 2021, 24 : 181 - 201
  • [32] Space-time model for regional seismicity and detection of crustal stress changes
    Ogata, Y
    JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH, 2004, 109 (B3)
  • [33] Space-time cluster identification in point processes
    Assuncao, Renato
    Tavares, Andrea
    Correa, Thais
    Kulldorff, Martin
    CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 2007, 35 (01): : 9 - 25
  • [34] The Space-time: A naturalistic narrow point of view
    Runggaldier, Edmund
    PHILOSOPHISCHES JAHRBUCH, 2007, 114 (02): : 399 - 408
  • [35] Seismicity analysis using space-time density peak clustering method
    Vijay, Rahul Kumar
    Nanda, Satyasai Jagannath
    PATTERN ANALYSIS AND APPLICATIONS, 2021, 24 (01) : 181 - 201
  • [36] Wildfire hazard evaluation through a space-time point process conditional intensity model
    Mateu, J
    Saura, F
    Gregori, P
    Juan, P
    Ecosystems and Sustainable Development V, 2005, 81 : 59 - 68
  • [37] Measuring space-time accessibility within bus network based on space-time process of bus
    Hu, Ji-Hua
    Li, Guo-Yuan
    Zhong, Guang-Peng
    Jiaotong Yunshu Xitong Gongcheng Yu Xinxi/Journal of Transportation Systems Engineering and Information Technology, 2014, 14 (04): : 146 - 153
  • [38] Second-order diagnostics for space-time point processes with application to seismic events
    Adelfio, Giada
    Chiodi, Marcello
    ENVIRONMETRICS, 2009, 20 (08) : 895 - 911
  • [39] Significant improvements of the space-time ETAS model for forecasting of accurate baseline seismicity
    Ogata, Yosihiko
    EARTH PLANETS AND SPACE, 2011, 63 (03): : 217 - 229
  • [40] Significant improvements of the space-time ETAS model for forecasting of accurate baseline seismicity
    Yosihiko Ogata
    Earth, Planets and Space, 2011, 63 : 217 - 229