Advances in statistical modeling of spatial extremes

R Huser, JL Wadsworth - Wiley Interdisciplinary Reviews …, 2022 - Wiley Online Library
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 …

A review of predictive uncertainty estimation with machine learning

H Tyralis, G Papacharalampous - Artificial Intelligence Review, 2024 - Springer
Predictions and forecasts of machine learning models should take the form of probability
distributions, aiming to increase the quantity of information communicated to end users …

Spatial extremes

AC Davison, R Huser, E Thibaud - Handbook of environmental …, 2019 - taylorfrancis.com
The health consequences of climate variability and change are diverse, potentially affecting
the burden of a wide range of health outcomes, including illnesses and deaths related to …

High-order composite likelihood inference for max-stable distributions and processes

S Castruccio, R Huser, MG Genton - Journal of Computational and …, 2016 - Taylor & Francis
In multivariate or spatial extremes, inference for max-stable processes observed at a large
collection of points is a very challenging problem and current approaches typically rely on …

A review of probabilistic forecasting and prediction with machine learning

H Tyralis, G Papacharalampous - arXiv preprint arXiv:2209.08307, 2022 - arxiv.org
Predictions and forecasts of machine learning models should take the form of probability
distributions, aiming to increase the quantity of information communicated to end users …

Modeling asymptotically independent spatial extremes based on Laplace random fields

T Opitz - Spatial Statistics, 2016 - Elsevier
We tackle the modeling of threshold exceedances in asymptotically independent stochastic
processes by constructions based on Laplace random fields. Defined as mixtures of …

A regionalisation approach for rainfall based on extremal dependence

KR Saunders, AG Stephenson, DJ Karoly - Extremes, 2021 - Springer
To mitigate the risk posed by extreme rainfall events, we require statistical models that
reliably capture extremes in continuous space with dependence. However, assuming a …

Functional peaks-over-threshold analysis

R de Fondeville, AC Davison - Journal of the Royal Statistical …, 2022 - academic.oup.com
Peaks-over-threshold analysis using the generalised Pareto distribution is widely applied in
modelling tails of univariate random variables, but much information may be lost when …

Extremes in high dimensions: Methods and scalable algorithms

J Lederer, M Oesting - arXiv preprint arXiv:2303.04258, 2023 - arxiv.org
Extreme-value theory has been explored in considerable detail for univariate and low-
dimensional observations, but the field is still in an early stage regarding high-dimensional …

A continuous updating weighted least squares estimator of tail dependence in high dimensions

JHJ Einmahl, A Kiriliouk, J Segers - Extremes, 2018 - Springer
Likelihood-based procedures are a common way to estimate tail dependence parameters.
They are not applicable, however, in non-differentiable models such as those arising from …