Search results for "crime data"

showing 3 items of 3 documents

Towards the specification of a self-exciting point process for modelling crimes in Valencia

2023

A number of papers have dealt with the analysis of crime data using self-exciting point process theory after the analogy drawn between aftershock ETAS models and crime rate. With the aim to describe crime events that occurred in Valencia in the last decade, in this paper, we justify the need for a self-exciting point process model through spatial and temporal exploratory analysis.

Self-exciting point processeSpatio-temporal point processesHawkes processeCovariateCrime dataSpatial StatisticSettore SECS-S/01 - Statistica
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Hawkes processes on networks for crime data

2022

Motivated by the analysis of crime data in Bucaramanga (Colombia), we propose a spatio-temporal Hawkes point process model adapted to events living on linear networks. We first consider a non-parametric modelling strategy, for both the background and the triggering components, and then we include a parametric estimation of the background based on covariates, and a non-parametric one of the triggering effects. Our network model outperforms a planar version, improving the fitting of the self-exciting point process model.

Spatio-temporal point processesHawkes processeCovariateLinear networkCrime dataSettore SECS-S/01 - Statistica
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Self-exciting point process modelling of crimes on linear networks

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 of crime data in Bucaramanga (Colombia), we propose a spatiotemporal Hawkes point process model adapted to events living on linear networks. We first consider a non-parametric modelling strategy, for which we follow a non-parametric estimation of both the background and the triggering components. Then we consider a semi-parametric version, including a parametric estimation of the background based on covariates, and a non-parametric one of the triggering effects. Our mode…

Statistics and Probability22/3 OA procedureHawkes processeCovariatecrime datacovariatesself-exciting point processesSelf-exciting point processeSpatio-temporal point processesITC-ISI-JOURNAL-ARTICLELinear networklinear networksspatio-temporal point processesCrime dataStatistics Probability and UncertaintySettore SECS-S/01 - StatisticaHawkes processesStatistical modelling
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