Residual analysis for inhomogeneous Neyman-Scott processes

Abstract

In this article, we introduce a residual analysis for inhomogeneous Neyman-Scott models based on Laplace functionals. Our simulation study shows that this residual analysis method has a good performance in assessing goodness-of-fit and revealing inadequacy of the fitted model. The method is employed in fitting a Thomas model to California redwood trees data and a Matérn model to the locations of hickory trees in Lansing woods, Michigan. © 2011 Board of the Foundation of the Scandinavian Journal of Statistics.