The classical modeling of spatial extremes relies on asymptotic models (ie, max‐stable or r‐
Pareto processes) for block maxima or peaks over high thresholds, respectively. However, at …

Extreme value statistics provides accurate estimates for the small occurrence probabilities of
rare events. While theory and statistical tools for univariate extremes are well developed …

Total positivity in multivariate extremes Page 1 The Annals of Statistics 2023, Vol. 51, No. 3,
962–1004 https://doi.org/10.1214/23-AOS2272 © Institute of Mathematical Statistics, 2023 …

Various natural phenomena exhibit spatial extremal dependence at short spatial distances.
However, existing models proposed in the spatial extremes literature often assume that …

Conditional independence and graphical models are well studied for probability
distributions on product spaces. We propose a new notion of conditional independence for …

To accurately quantify landslide hazard in a region of Turkey, we develop new marked point-
process models within a Bayesian hierarchical framework for the joint prediction of landslide …

The study of multivariate extremes is dominated by multivariate regular variation, although it
is well known that this approach does not provide adequate distinction between random …

Classical models for multivariate or spatial extremes are mainly based upon the
asymptotically justified max-stable or generalized Pareto processes. These models are …

Flexible spatial models that allow transitions between tail dependence classes have recently
appeared in the literature. However, inference for these models is computationally …

Various natural phenomena exhibit spatial extremal dependence at short distances only,
while it usually vanishes as the distance between sites increases arbitrarily. However …