Voronoi Residuals and their Application in Assessing the Fit of Poin Process Models‎: ‎An Applied Study

‎Many point process models have been proposed for studying variety of scientific disciplines‎, ‎including geology‎, ‎medicin‎, ‎astronomy‎, ‎forestry‎, ‎ecology and ect‎. ‎The assessment of fitting these models is important‎. ‎Residuals-based methods are appropriate tools for evaluating good fit of spatial point of process models‎. ‎In this paper‎, ‎first‎, ‎the concepts related to the Voronoi residuals are investigated‎. ‎Then‎, ‎after fitting a cluster point process to the data set of the position of the trees in the Guilan forest‎, ‎the proposed model is evaluated using these residuals‎.