RT Journal Article
T1 Point pattern analysis and classification on compact two-point homogeneous spaces evolving time.
A1 Frías, María P.
A1 Torres-Signes, Antoni
A1 Ruiz-Medina, María D.
K1 Análisis multivariante
AB This 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.
YR 2023
FD 2023-02-14
LK https://hdl.handle.net/10630/30290
UL https://hdl.handle.net/10630/30290
LA eng
NO Frías, 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).
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 3 mar 2026