We introduce two characteristics for stationary and isotropic marked point proces- ses, "E"("h") and "V"("h"), and describe their use in investigating mark-point interactions. These quantities are functions of the interpoint distance "h" and denote the conditional expectation and the conditional...

In this article, we propose a new parametric family of models for real-valued spatio-temporal stochastic processes <b>"S"</b>(<b>"x"</b>, <b>"t"</b>) and show how low-rank approximations can be used to overcome the computational problems that arise in fitting the proposed class of models to large datasets. Separable...

In this article, we propose a method for conducting likelihood-based inference for a class of nonstationary spatiotemporal log-Gaussian Cox processes. The method uses convolution-based models to capture spatiotemporal correlation structure, is computationally feasible even for large datasets,...