Simulation of cluster point processes without edge effects

Fast Simulation of Markov Cluster Processes

Spatial point processes have been used by scientists in various disciplines such as astronomy, ecology, geology and urban planning. Cluster processes are a special case where the point patterns to be represented have an aan-ity for being close to each other. However, analytical inference in such models are intractable, because in many cases, the likelihood function is known only up to a normali...

Optimal stopping and cluster point processes

In some recent work it has been shown how to solve optimal stopping problems approximatively for independent sequences and also for some dependent sequences, when the associated embedded point processes converge to a Poisson process. In this paper we extend these results to the case where the limit is a Poisson cluster process with random or with deterministic cluster. We develop a new method o...

Perfect Simulation for Spatial Point Processes

On Lewis' simulation method for point processes

A simple and efficient method of simulation is discwsed for point processes that are specified by their conditional intensities. Tbe metbud is based on tbe thinning algorithm which was introduced recently by Lewis and Shedler for the simulation of nonhomogeneous Poisson pmcesses. Algorithms are given for past dependent point processes contain@ multivariate processes. The simulations are perform...

Perfect simulation for marked point processes

CWI's research has a theme-oriented structure and is grouped into four clusters. Listed below are the names of the clusters and in parentheses their acronyms. ABSTRACT This paper extends some recently proposed exact simulation algorithms for point processes to marked patterns and reports on a simulation study into the relative efficiency for a range of Markov marked point processes. marked poin...