Information criteria for inhomogeneous spatial point processes - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Australian and New Zealand Journal of Statistics Année : 2021

Information criteria for inhomogeneous spatial point processes

Résumé

The theoretical foundation for a number of model selection criteria is established in the context of inhomogeneous point processes and under various asymptotic settings: infill, increasing domain and combinations of these. For inhomogeneous Poisson processes we consider Akaike's information criterion and the Bayesian information criterion, and in particular we identify the point process analogue of ‘sample size’ needed for the Bayesian information criterion. Considering general inhomogeneous point processes we derive new composite likelihood and composite Bayesian information criteria for selecting a regression model for the intensity function. The proposed model selection criteria are evaluated using simulations of Poisson processes and cluster point processes.

Dates et versions

hal-03351055 , version 1 (21-09-2021)

Identifiants

Citer

Achmad Choiruddin, Jean-François Coeurjolly, Rasmus Waagepetersen. Information criteria for inhomogeneous spatial point processes. Australian and New Zealand Journal of Statistics, 2021, 63 (1), pp.119-143. ⟨10.1111/anzs.12327⟩. ⟨hal-03351055⟩
25 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More