Testing the weak stationarity of a spatio-temporal point process

2012 ◽  
Vol 27 (2) ◽  
pp. 517-524 ◽  
Author(s):  
Mohammad Ghorbani
2020 ◽  
Author(s):  
Mark Naylor ◽  
Kirsty Bayliss ◽  
Finn Lindgren ◽  
Francesco Serafini ◽  
Ian Main

<p>Many earthquake forecasting approaches have developed bespokes codes to model and forecast the spatio-temporal eveolution of seismicity. At the same time, the statistics community have been working on a range of point process modelling codes. For example, motivated by ecological applications, inlabru models spatio-temporal point processes as a log-Gaussian Cox Process and is implemented in R. Here we present an initial implementation of inlabru to model seismicity. This fully Bayesian approach is computationally efficient because it uses a nested Laplace approximation such that posteriors are assumed to be Gaussian so that their means and standard deviations can be deterministically estimated rather than having to be constructed through sampling. Further, building on existing packages in R to handle spatial data, it can construct covariate maprs from diverse data-types, such as fault maps, in an intutitive and simple manner.</p><p>Here we present an initial application to the California earthqauke catalogue to determine the relative performance of different data-sets for describing the spatio-temporal evolution of seismicity.</p>


Author(s):  
Tao Wang ◽  
Kean Chen ◽  
Weiyao Lin ◽  
John See ◽  
Zenghui Zhang ◽  
...  

2021 ◽  
Author(s):  
Morteza Raeisi ◽  
Florent Bonneu ◽  
Edith Gabriel

Abstract We propose a new point process model that combines, in the spatiotemporal setting, both multi-scaling by hybridization and hardcore distances. Our so-called hybrid Strauss hardcore point process model allows different types of interaction, at different spatial and/or temporal scales, that might be of interest in environmental and biological applications. The inference and simulation of the model are implemented using the logistic likelihood approach and the birth-death Metropolis-Hastings algorithm. Our model is used to describe forest fire occurrences in Spain.


2016 ◽  
Vol 18 ◽  
pp. 505-544 ◽  
Author(s):  
Jonatan A. González ◽  
Francisco J. Rodríguez-Cortés ◽  
Ottmar Cronie ◽  
Jorge Mateu

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