Spatial and spatio-temporal point patterns on linear networks

The last decade witnessed an extraordinary increase in interest in the analysis of network related data and trajectories. In the spatial statistics field, there are numerous real examples such as the locations of traffic accidents and geo-coded locations of crimes in the streets that need to restric...

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Detalles Bibliográficos
Autor: Moradi, Mohammad Mehdi
Tipo de recurso: tesis doctoral
Estado:Versión publicada
Fecha de publicación:2018
País:España
Institución:CBUC, CESCA
Repositorio:TDR. Tesis Doctorales en Red
OAI Identifier:oai:www.tdx.cat:10803/664140
Acceso en línea:http://hdl.handle.net/10803/664140
http://dx.doi.org/10.6035/14123.2018.685382
Access Level:acceso abierto
Palabra clave:Intensity estimator
Kernel
Linear network
Point process
Resample-smoothing
Trajectory
Ciències naturals, químiques, físiques i matemàtiques
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Descripción
Sumario:The last decade witnessed an extraordinary increase in interest in the analysis of network related data and trajectories. In the spatial statistics field, there are numerous real examples such as the locations of traffic accidents and geo-coded locations of crimes in the streets that need to restrict the support of the underlying process over such linear networks to set and define a more realistic scenario. Examples of trajectories are the path taken by moving objects such as taxis, human beings, animals, etc. This tesis provides different statistical tools to study spatial and spatio-temporal points processes on linear networks, and trajectories through first and second order summary statistics. Regarding trajectories, the developed methods are also accommodated in the R package "trajectories".