Classification of points in superpositions of Strauss and Poisson processes

Claudia Redenbach, Aila Särkkä, Martina Sormani
2015 Spatial Statistics  
Consider a realisation of a point process which is formed as a superposition of a regular point process, here a Strauss process, and some Poisson noise. The aim of the current work is to decide which of the two processes each point belongs to. We construct an MCMC algorithm which estimates the parameters of the superposition model and obtains posterior probabilities for each point of being a Strauss point. The algorithm is evaluated in a simulation study. Finally, it is applied to our
more » ... data set containing the locations of air bubbles, some of which are noise, in an Antarctic ice core.
doi:10.1016/j.spasta.2015.03.003 fatcat:tvlut4orojhxvcecyvp67tbnru