On spatial and spatio-temporal multi-structure point process models

Morteza Raeisi (1) , Florent Bonneu (1, 2) , Edith Gabriel (2)

1 LMA - EA2151 Laboratoire de Mathématiques d'Avignon
2 BioSP - Biostatistique et Processus Spatiaux

Spatial and spatio-temporal single-structure point process models are widely used in epidemiology, biology, ecology, seismology... . However, most natural phenomena present multiple interaction structure or exhibit dependence at multiple scales in space and/or time, leading to define new spatial and spatio-temporal multi-structure point process models. In this paper, we investigate and review such multi-structure point process models mainly based on Gibbs and Cox processes.

Mots clés: Spatio-temporal point processes; Cox process; Gibbs process; Multi-scale process; Multi-structure process

Domaines: Statistiques [stat]; Méthodologie [stat.ME]

Morteza Raeisi, Florent Bonneu, Edith Gabriel. On spatial and spatio-temporal multi-structure point process models. 2020. ⟨hal-02499127v1⟩