Spatial birth-death-move processes: basic properties and inference

Abstract: Birth-death-move processes are Markov models for the spatio-temporal dynamics of a system of particles in motion where births and deaths can occur. Natural applications include epidemiology, individual-based modelling in ecology and spatio-temporal dynamics observed in bio-imaging. We present some of the basic probabilistic properties of these processes and we consider two inference problems: First, the non-parametric estimation of the birth and death intensity functions; Second, the parametric estimation of the full dynamics by maximum likelihood. We finally apply our statistical method to the analysis of a real dataset representing the spatio-temporel dynamics of biomolecules observed in a living cell.

probabilitystatistics theory

Audience: researchers in the discipline

( paper )

Gothenburg statistics seminar

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