Information criteria for inhomogeneous spatial point processes

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