Skip to main content
Open Access Publications from the University of California

Department of Statistics, UCLA

Department of Statistics Papers bannerUCLA

Goodness-of-fit Assessment of Point Process Models Based on K-function Variants


This work presents an alternative derivation of the asymptotic distribution of Ripley's K-function for a homogeneous Poisson process and shows how it can be combined with point process residual analysis in order to test for different classes of point process models. This can be doen with the mean K-function of thinned residuals (KM) or a weighted analogue called the weighted or inhomogeneous K-function (KW). The asymptotic distributions of KM and KW are derived for inhomogeneous Poisson processes. Both statistics can be used as measures of goodness-of-fit for point process models.

Main Content
For improved accessibility of PDF content, download the file to your device.
Current View