Search results for "random labelling"

showing 3 items of 3 documents

Local inhomogeneous weighted summary statistics for marked point processes

2023

We introduce a family of local inhomogeneous mark-weighted summary statistics, of order two and higher, for general marked point processes. Depending on how the involved weight function is specified, these summary statistics capture different kinds of local dependence structures. We first derive some basic properties and show how these new statistical tools can be used to construct most existing summary statistics for (marked) point processes. We then propose a local test of random labelling. This procedure allows us to identify points, and consequently regions, where the random labelling assumption does not hold, e.g.~when the (functional) marks are spatially dependent. Through a simulatio…

FOS: Computer and information sciencesStatistics and ProbabilityEarthquakefunctional marked point proceStatistics - Computationmark correlation functionMethodology (stat.ME)Discrete Mathematics and Combinatoricsrandom labellingStatistics Probability and UncertaintySettore SECS-S/01 - Statisticamarked K-functionComputation (stat.CO)Statistics - Methodologylocal envelope test
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Local test of random labelling for functional marked point processes

2022

We introduce the local t-weighted marked nth-order inhomogeneous K-function, in a Functional Marked Point Processes framework. We employ the proposed summary statistics to run a local test of random labelling, useful to identify points, and consequently regions, where this assumption does not hold, i.e. the functional marks are spatially dependent.

K-functionrandom labellingenvelopesSettore SECS-S/01 - StatisticaSpatio-temporal point proceLocal feature
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Seismic sequences identification in Italy by local test of random labelling

2023

Seismic sequenceidentificationlocal testrandom labellingSettore SECS-S/01 - Statistica
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