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

页码：947 / 971

页数：25

共 50 条

[1] Including covariates in a space-time point process with application to seismicity
Giada Adelfio
Marcello Chiodi
Statistical Methods & Applications, 2021, 30 : 947 - 971
[2] Critical point theory and space-time pattern formation in precursory seismicity
Tiampo, KF
Anghel, M
TECTONOPHYSICS, 2006, 413 (1-2) : 1 - 3
[3] ETAS Space-Time Modeling of Chile Triggered Seismicity Using Covariates: Some Preliminary Results
Chiodi, Marcello
Nicolis, Orietta
Adelfio, Giada
D'Angelo, Nicoletta
Gonzalez, Alex
APPLIED SCIENCES-BASEL, 2021, 11 (19):
[4] Space-time point-process models for earthquake occurrences
Ogata, Y
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1998, 50 (02) : 379 - 402
[5] Space-Time Point-Process Models for Earthquake Occurrences
Yosihiko Ogata
Annals of the Institute of Statistical Mathematics, 1998, 50 : 379 - 402
[6] THE SEISMICITY MIGRATION STUDY BASED ON SPACE-TIME DIAGRAMS
Levina, E. A.
Ruzhich, V. V.
GEODYNAMICS & TECTONOPHYSICS, 2015, 6 (02): : 225 - 240
[7] DEVELOPMENT OF ENERGETIC MODEL OF SPACE-TIME DEPENDENCE OF SEISMICITY
RIZNICHENKO, YV
ARTAMONOV, AM
IZVESTIYA AKADEMII NAUK SSSR FIZIKA ZEMLI, 1975, (12): : 35 - 42
[8] ESTIMATION AND CONTROL PERFORMANCE FOR SPACE-TIME POINT-PROCESS OBSERVATIONS
RHODES, IB
SNYDER, DL
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1977, 22 (03) : 338 - 346
[9] MMAE-BASED CONTROL WITH SPACE-TIME POINT PROCESS OBSERVATIONS
MAYBECK, PS
ZICKER, WL
IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 1985, 21 (03) : 292 - 300
[10] Bayesian latent structure models with space-time dependent covariates
Cai, Bo
Lawson, Andrew B.
Hossain, Md Monir
Choi, Jungsoon
STATISTICAL MODELLING, 2012, 12 (02) : 145 - 164

← 1 2 3 4 5 →