RT Conference Proceedings
T1 Random sets on manifolds under an infinite–dimensional Log–Gaussian Cox process approach.
A1 Frías, María P.
A1 Torres-Signes, Antoni
A1 Ruiz-Medina, María D.
K1 Modelos matemáticos
AB A new framework is introduced in this paper for modeling and statistical analysis of point sets in a manifold, that randomly arise through time. Specifically, in the characterization of these sets, the random counting measure is assumed to belong to the family of Cox processes driven by a L2(M)–valued Log–Gaussian intensity, where M denotes here a compact two–point homogeneous space. The associated family of temporal covariance operators on L2(M) characterizes the n–order product density under stationarity in time. In particular, the pair correlation functional, the reduced second order moment measure or K function can also be constructed from this covariance operator family. Some functional summary statistics of interest are introduced, analyzing their asymptotic properties in the simulation study undertaken.
PB Edicions i Publicacions de la Universitat de Lleida
YR 2022
FD 2022
LK https://hdl.handle.net/10630/32405
UL https://hdl.handle.net/10630/32405
LA eng
NO Frías, M.P.,Torres-Signes, A.,Ruiz-Medina, M.D. Random sets on manifolds under an infinite–dimensional Log–Gaussian Cox process approach. METMA X Proceedings of the 10th International Workshop on Spatio-Temporal Modelling. 109 - 113 (2022)
NO "Unless stated otherwise, the contents of this website aresubject to the Creative Commons License BY-NC" http://www.metma-x.udl.cat/home
NO Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026