Search results for "Gibbs point processes"

showing 4 items of 4 documents

Models and methods for space and space-time interactions in complex point processes with applications on earthquakes

spatial covariatespatial point processeearthquakes; hybrids of Gibbs point processes; spatial covariates; spatial point processes; hypothesis testing; local indicators of spatio-temporal association; permutation-based tests; second-order product density function; log-Gaussian Cox process; spatial anisotropy; spatio-temporal point process; clustering detectionlog-Gaussian Cox proceearthquakehybrids of Gibbs point processehypothesis testinglocal indicators of spatio-temporal associationpermutation-based testspatial anisotropysecond-order product density functionspatio-temporal point proceSettore SECS-S/01 - Statisticaclustering detection
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A multi-scale area-interaction model for spatio-temporal point patterns

2018

Models for fitting spatio-temporal point processes should incorporate spatio-temporal inhomogeneity and allow for different types of interaction between points (clustering or regularity). This paper proposes an extension of the spatial multi-scale area-interaction model to a spatio-temporal framework. This model allows for interaction between points at different spatio-temporal scales and the inclusion of covariates. We fit the proposed model to varicella cases registered during 2013 in Valencia, Spain. The fitted model indicates small scale clustering and regularity for higher spatio-temporal scales.

FOS: Computer and information sciencesStatistics and ProbabilityScale (ratio)Computer scienceManagement Monitoring Policy and LawMulti-scale area-interaction modelcomputer.software_genreVaricella01 natural sciencesPoint processMethodology (stat.ME)010104 statistics & probability0502 economics and businessStatisticsCovariate60D05 60G55 62M30Point (geometry)0101 mathematicsComputers in Earth SciencesCluster analysisStatistics - Methodology050205 econometrics 05 social sciencesInteraction modelExtension (predicate logic)Gibbs point processesComputingMethodologies_PATTERNRECOGNITIONSpatio-temporal point processesData miningcomputer
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Spatial pattern analysis using hybrid models: an application to the Hellenic seismicity

2016

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 multi-scale point pattern model to describe the main seismicity in the Hellenic area over the last 10 years. We analyze the interaction between events and the relationship with geo- logical information of the study area, using hybrid models as proposed by Baddeley et al. ( 2013 ). In our analysis, we find two competing suitable hybrid models, one with a full parametric structure and the other one based on nonpara- metric kernel estimators for the spatial inhomogeneity.

Environmental EngineeringInduced seismicity010502 geochemistry & geophysicsSpatial distribution01 natural sciencespoint process residualhellenic earthquakes010104 statistics & probabilityhybrids of gibbs point processesspatial covariatesEconometricsEnvironmental ChemistryPoint (geometry)spatial point processes0101 mathematicsSafety Risk Reliability and Quality0105 earth and related environmental sciencesGeneral Environmental ScienceWater Science and TechnologyParametric statisticsspatial covariatepoint process residualsNonparametric statisticsEstimatorspatial point processes.Kernel (statistics)hybrids of Gibbs point processeCommon spatial patternHellenic earthquakeSeismologyGeology
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Spatio-Temporal Linear Network Point Processes for GPS Data Analysis

This work aims at analyzing the spatio-temporal intensity in the distribution of stop locations of cruise passengers during their visit at the destination. Data are collected through the integration of GPS tracking technology and questionnaire-based survey on a sample of cruise passengers visiting the city of Palermo (Italy), and they are used to identify the main determinants which characterize cruise passengers’ stop locations pattern. The spatio-temporal distribution of visitors' stops is analysed by mean of the theory of stochastic point processes occurring on linear networks, in order to consider the street configuration of the city and the location of the main attractions. First, an i…

Gibbs point processes Intensity estimation Linear networks Log-Gaussian Cox Processes Spatio-temporal point processesSettore SECS-S/01 - Statistica
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