Heavy rainfall distributional modeling is essential in any impact studies linked to the water cycle, e.g.\ flood risks. Still, statistical analyses that both take into account the temporal and multivariate nature of extreme rainfall are rare, and often, a complex de-clustering step is needed to make extreme rainfall temporally independent. A natura...
First, we complement the case study of heavy rainfall in France by implementing Pareto-based methods using declustering techniques. Second, we develop on the asymptotic theory of the stable sums method. To prove Theorem 6.1, we give a more general statement and prove the multivariate central limit theory of regularly varying time series with unit (...
Five input flow models are considered whose structures are considerably more complicated than a Poisson structure and in which steady state probabilities of the •/ G / ∞ queuing system can be found in explicit form (the Poisson distribution). For these models, a combination of the Poisson distribution (the analytical part) and statistical simulatio...
A statistical model for spatial whale distribution in the Northeastern Atlantic is presented. The model, a Neyman-Scott cluster process, is fitted separately for 12 strata, based on data from the Norwegian shipborn survey in 1989. The spatial distribution differs considerably between areas, with respect to both cluster size, intensity of clusters a...