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 …

Spatial statistics

N Cressie, MT Moores - Encyclopedia of mathematical geosciences, 2023 - Springer
Sampling is a technique from which information about the entire population can be inferred.
In case of remote sensing (RS) and geographic information system (GIS), training and test …

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,) …

INLA goes extreme: Bayesian tail regression for the estimation of high spatio-temporal quantiles

T Opitz, R Huser, H Bakka, H Rue - Extremes, 2018 - Springer
This work is motivated by the challenge organized for the 10th International Conference on
Extreme-Value Analysis (EVA2017) to predict daily precipitation quantiles at the 99.8 …

A parametric model for distributions with flexible behavior in both tails

ML Stein - Environmetrics, 2021 - Wiley Online Library
For many problems of inference about a marginal distribution function, while the entire
distribution is important, extreme quantiles are of particular interest because rare outcomes …

Max‐infinitely divisible models and inference for spatial extremes

R Huser, T Opitz, E Thibaud - Scandinavian Journal of Statistics, 2021 - Wiley Online Library
For many environmental processes, recent studies have shown that the dependence
strength is decreasing when quantile levels increase. This implies that the popular max …

Spatial hierarchical modeling of threshold exceedances using rate mixtures

R Yadav, R Huser, T Opitz - Environmetrics, 2021 - Wiley Online Library
We develop new flexible univariate models for light‐tailed and heavy‐tailed data, which
extend a hierarchical representation of the generalized Pareto (GP) limit for threshold …

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 …

A flexible Bayesian hierarchical modeling framework for spatially dependent peaks-over-threshold data

R Yadav, R Huser, T Opitz - Spatial Statistics, 2022 - Elsevier
In this work, we develop a constructive modeling framework for extreme threshold
exceedances in repeated observations of spatial fields, based on general product mixtures …

Semi-parametric resampling with extremes

T Opitz, D Allard, G Mariethoz - Spatial Statistics, 2021 - Elsevier
Nonparametric resampling methods such as Direct Sampling are powerful tools to simulate
new datasets preserving important data features such as spatial patterns from observed …