This paper discusses several methods to test the goodness-of-t of a space-time continuous-type branching process with immigration, namely the ETAS (epidemic type aftershock sequence) model, to the occurrences of earthquakes, including: 1) using thinning method to decompose the whole process into a background process and its complementary process, to test the stationarity of the background process, 2) using the residual analysis to test the overall goodness-of- t, and 3) using the stochastic reconstruction method to compare the characteristics of clustering features between the earthquake data and the model.
[1] Assuming that earthquakes are the realization of a stochastic point process and that the magnitu...
A diagnostic method for space–time point process is here introduced and applied to seismic data of a...
Centroid of aftershock epicenters, ETAS model, inverse power laws, maximum likelihood estimates, mag...
The estimation of branching point process models by maximum likelihood can be unstable and computati...
The main task in earthquake prediction is to develop statistical models for analyzing the observatio...
The purpose of this work is to put forward a double branching model to describe the spatio-temporal ...
The paper proposes a stochastic process that improves the assessment of seismic events in space and...
Online Material: Sensitivity to scaling of the d-parameter and to inhomogeneous background activity,...
A diagnostic method for space-time point process is introduced and used to interpret and assess the ...
This study incorporates the rupture geometry of big earthquakes in the formulation of the Epidemic T...
Methods of examining the fit of multi-dimensional point process models using residual analysis are p...
We present an Epidemic Type Aftershock Sequence (ETAS) model where the offspring rates vary both spa...
Abstract Temporal clustering of tsunami sources is examined in terms of a branch-ing process model. ...
Stochastic branching models provide a good description of some aspects of the temporal organization ...
The paper proposes a stochastic process that improves the assessment of events in space and time, c...
[1] Assuming that earthquakes are the realization of a stochastic point process and that the magnitu...
A diagnostic method for space–time point process is here introduced and applied to seismic data of a...
Centroid of aftershock epicenters, ETAS model, inverse power laws, maximum likelihood estimates, mag...
The estimation of branching point process models by maximum likelihood can be unstable and computati...
The main task in earthquake prediction is to develop statistical models for analyzing the observatio...
The purpose of this work is to put forward a double branching model to describe the spatio-temporal ...
The paper proposes a stochastic process that improves the assessment of seismic events in space and...
Online Material: Sensitivity to scaling of the d-parameter and to inhomogeneous background activity,...
A diagnostic method for space-time point process is introduced and used to interpret and assess the ...
This study incorporates the rupture geometry of big earthquakes in the formulation of the Epidemic T...
Methods of examining the fit of multi-dimensional point process models using residual analysis are p...
We present an Epidemic Type Aftershock Sequence (ETAS) model where the offspring rates vary both spa...
Abstract Temporal clustering of tsunami sources is examined in terms of a branch-ing process model. ...
Stochastic branching models provide a good description of some aspects of the temporal organization ...
The paper proposes a stochastic process that improves the assessment of events in space and time, c...
[1] Assuming that earthquakes are the realization of a stochastic point process and that the magnitu...
A diagnostic method for space–time point process is here introduced and applied to seismic data of a...
Centroid of aftershock epicenters, ETAS model, inverse power laws, maximum likelihood estimates, mag...