Search results for " Local Indicators of Spatio-temporal Association"

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
researchProduct

Detection of spatio-temporal local structure on seismic data

2017

For the description of the seismicity of an area, the comparison between local features of background and induced events could be a new perspective of research. In spatio-temporal point process, local second-order statistics provide information on the relationships of each event and its nearby events. In this paper, we use a test based on local indicators of spatio-temporal association (LISTA functions) for identifying different local structures comparing the two previous sets of events. We present a simulation study on the test and show the main results of the application on Greece earthquake data.

earthquakelocal indicators of spatio-temporal associationearthquakes; local indicators of spatio-temporal association; secondorder product density functionsecondorder product density function
researchProduct

Local inhomogeneous second-order characteristics for spatio-temporal point processes occurring on linear networks

2022

AbstractPoint 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) functions to the non-Euclidean space of linear networks, allowing to obtain information on how events relate to nearby events. In particular, we propose the local version of two inhomogeneous second-order statistics for spatio-temporal point processes on linear networks, the K- and the pair correlation functions. We put particular emphasis on the local K-functions, deriving come theoretical results which enable us to show that these LISTA functions are useful for diagn…

Statistics and ProbabilityLocal Indicators of Spatio-Temporal Associationlocal propertiessecond-order characteristicsresidual analysislinear networksspatio-temporal point patternsStatistics Probability and UncertaintySettore SECS-S/01 - StatisticaLinear networks Local Indicators of Spatio-temporal Association Local properties Residual analysis Second-order characteristics Spatio-temporal point patterns
researchProduct

Comparing local structures of spatio-temporal point processes on linear networks

2022

We employ the Local Indicators of Spatio-Temporal Association (LISTA) functions on linear networks to build a statistical test for local second-order structure. This allows to identify differences in the spatio-temporal clustering behaviour of two point patterns, a point pattern of interest and a background one, both occurring on the same linear network. We illustrate the proposed methodology analysing a traffic-related problem.

Hypothesis testing Linear networks Local Indicators of Spatio-Temporal Association Local properties Second-order characteristics Spatio-temporal point patternsSettore SECS-S/01 - Statistica
researchProduct