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dc.contributor.authorFrías, María P.
dc.contributor.authorTorres-Signes, Antoni 
dc.contributor.authorRuiz-Medina, María D.
dc.date.accessioned2024-02-09T12:04:57Z
dc.date.available2024-02-09T12:04:57Z
dc.date.created2024
dc.date.issued2023-02-14
dc.identifier.citationFrías, M.P., Torres, A. & Ruiz-Medina, M.D. Point pattern analysis and classification on compact two-point homogeneous spaces evolving time. Stoch Environ Res Risk Assess 37, 2145–2158 (2023).es_ES
dc.identifier.urihttps://hdl.handle.net/10630/30290
dc.description.abstractThis paper introduces a new modeling framework for the statistical analysis of point patterns on a manifold Md; defined by a connected and compact two-point homogeneous space, including the special case of the sphere. The presented approach is based on temporal Cox processes driven by a L2(Md)-valued log-intensity. Different aggregation schemes on the manifold of the spatiotemporal point-referenced data are implemented in terms of the time-varying discrete Jacobi polynomial transform of the log-risk process. The n-dimensional microscale point pattern evolution in time at different manifold spatial scales is then characterized from such a transform. The simulation study undertaken illustrates the construction of spherical point process models displaying aggregation at low Legendre polynomial transform frequencies (large scale), while regularity is observed at high frequencies (small scale). K-function analysis supports these results under temporal short, intermediate and long range dependence of the log-risk process.es_ES
dc.language.isoenges_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.subjectAnálisis multivariantees_ES
dc.subject.otherConnected and compact two-point homogeneous spaceses_ES
dc.subject.otherCox processeses_ES
dc.subject.otherDiscrete Jacobi polynomial transformes_ES
dc.subject.otherK-functiones_ES
dc.subject.otherMd-supported random fieldses_ES
dc.subject.otherPoint pattern analysises_ES
dc.subject.otherStatistical distanceses_ES
dc.titlePoint pattern analysis and classification on compact two-point homogeneous spaces evolving time.es_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.identifier.doi10.1007/s00477-023-02384-6
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones_ES


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