In [Schuhmacher, Electron. J. Probab. 10 (2005), 165–201] estimates of the Barbour-Brown distance d2 between the distribution of a thinned point process and the distribution of a Poisson process were derived by combining discretization with a result based on Stein’s method. In the present article we concentrate on point processes that have a density with respect to a Poisson process, for which ...

In the statistical analysis of spatial point patterns, it is often important to investigate whether the point pattern depends on spatial covariates. This paper describes nonparametric (kernel and local likelihood) methods for estimating the effect of spatial covariates on the point process intensity. Variance estimates and confidence intervals are provided in the case of a Poisson point process...

Parallel zu diesen Entwicklungen stiegen die Anforderungen an die Methoden zur Leistungsanalyse derartiger Systeme. Die Warteschlangentheorie stellt klassische Modelle zur Analyse von Kommunikationsnetzen bereit. Ein Bereich in der modernen Warteschlangentheorie sind die Matrix analytischen Methoden. Hier konzentriert sich die Forschung auf den Batch Markovian Arrival Process (BMAP), welcher äq...

Prediction of future values of a shot noise process observed on a discrete lattice of points is considered. The shot magnitudes are assumed to be independent and identically distributed and arrive via a Poisson process; the eeect of each shot dissipates and/or accumulates according to a known shot function. Conditional mean and linear point predictors of future process values are developed. Dis...