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Joint second-order parameter estimation for spatio-temporal log-Gaussian Cox processes
(Springer, 2018)
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 ...
Self-exciting point process modelling of crimes on linear networks
(SAGE Publications, 2022)
Although there are recent developments for the analysis of first and second-order characteristics of point processes on networks, there are very few attempts in introducing models for network data. Motivated by the analysis ...
Testing for local structure in spatiotemporal point pattern data
(Wiley, 2017-09-03)
The detection of clustering structure in a point pattern is one of themain focuses
of attention in spatiotemporal data mining. Indeed, statistical tools for clustering
detection and identification of individual events ...
On Some Statistical Properties of the Spatio-Temporal Product Density
(Universidad Nacional de Colombia, 2021)
We present an extension of the non-parametric edge-corrected Ohser-type
kernel estimator for the spatio-temporal product density function. We derive
the mean and variance of the estimator and give a closed-form ...
Spatial pattern analysis using hybrid models: an application to the Hellenic seismicity
(Springer Verlag, 2017)
Earthquakes are one of the most destructive
natural disasters and the spatial distribution of their epi-
centres generally shows diverse interaction structures at
different spatial scales. In this paper, we use a ...
Spatio‐temporal classification in point patterns under the presence of clutter.
(Wiley, 2019-08-23)
We consider the problem of detection of features in the presence of clutter forspatio-temporal point patterns. In previous studies, related to the spatial context,Kth nearest-neighbor distances to classify points between ...
Local inhomogeneous second-order characteristics for spatio-temporal point processes occurring on linear networks
(Springer, 2022)
Point processes on linear networks are increasingly being considered to analyse events occurring on particular network-based structures. In this paper, we extend Local Indicators of Spatio-Temporal Association (LISTA) ...
Some properties of local weighted second-order statistics for spatio-temporal point processes
(Springer, 2020)
Diagnostics of goodness-of-fit in the theory of point processes are often considered through the transformation of data into
residuals as a result of a thinning or a rescaling procedure. We alternatively consider here ...
Assessing local differences between the spatio-temporal second-order structure of two point patterns occurring on the same linear network
(2021)
We introduce Local Indicators of Spatio-Temporal Association (LISTA) functions on linear networks and use them to build a statistical test for local second-order structure. This allows to identify differences in the ...