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 modeler's guide to extreme value software

LR Belzile, C Dutang, PJ Northrop, T Opitz - Extremes, 2023 - Springer
This review paper surveys recent development in software implementations for extreme
value analyses since the publication of Stephenson and Gilleland (Extremes 8: 87–109,) …

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 …

Graphical models for infinite measures with applications to extremes and L\'evy processes

S Engelke, J Ivanovs, K Strokorb - arXiv preprint arXiv:2211.15769, 2022 - arxiv.org
Conditional independence and graphical models are well studied for probability
distributions on product spaces. We propose a new notion of conditional independence for …

Local likelihood estimation of complex tail dependence structures, applied to US precipitation extremes

D Castro-Camilo, R Huser - Journal of the American Statistical …, 2020 - Taylor & Francis
To disentangle the complex nonstationary dependence structure of precipitation extremes
over the entire contiguous United States (US), we propose a flexible local approach based …

A hierarchical max-infinitely divisible spatial model for extreme precipitation

GP Bopp, BA Shaby, R Huser - Journal of the American Statistical …, 2021 - Taylor & Francis
Understanding the spatial extent of extreme precipitation is necessary for determining flood
risk and adequately designing infrastructure (eg, stormwater pipes) to withstand such …

Spatial extremes and stochastic geometry for Gaussian-based peaks-over-threshold processes

E Di Bernardino, A Estrade, T Opitz - Extremes, 2024 - Springer
Geometric properties of exceedance regions above a given quantile level provide
meaningful theoretical and statistical characterizations for stochastic processes defined on …

Approximate Bayesian inference for analysis of spatiotemporal flood frequency data

ÁV Jóhannesson, S Siegert, R Huser… - The Annals of Applied …, 2022 - projecteuclid.org
We first provide further details on the statistical model fitted in our application and on the
approximate Bayesian inference scheme that we used. In particular, we demonstrate the …

Modeling nonstationary temperature maxima based on extremal dependence changing with event magnitude

P Zhong, R Huser, T Opitz - The Annals of Applied Statistics, 2022 - projecteuclid.org
We provide further results in our simulation study for alternative parameter settings, and also
provide further details and simulation results on the performance of our proposed parametric …

Bayesian model averaging over tree-based dependence structures for multivariate extremes

S Vettori, R Huser, J Segers… - Journal of Computational …, 2020 - Taylor & Francis
Describing the complex dependence structure of extreme phenomena is particularly
challenging. To tackle this issue, we develop a novel statistical method that describes …