Graphical models for extremes

S Engelke, AS Hitz - Journal of the Royal Statistical Society …, 2020 - academic.oup.com
Conditional independence, graphical models and sparsity are key notions for parsimonious
statistical models and for understanding the structural relationships in the data. The theory of …

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,) …

Non-stationary dependence structures for spatial extremes

R Huser, MG Genton - Journal of agricultural, biological, and …, 2016 - Springer
Max-stable processes are natural models for spatial extremes because they provide suitable
asymptotic approximations to the distribution of maxima of random fields. In the recent past …

Estimation of multivariate tail quantities

X Li, H Joe - Computational Statistics & Data Analysis, 2023 - Elsevier
For d≥ 2 risk variables, three methods have been proposed to estimate the multivariate tail
quantities, including multivariate tail probabilities, tail dependence functions and tail quantile …

[HTML][HTML] Modelling non-stationarity in asymptotically independent extremes

CJR Murphy-Barltrop, JL Wadsworth - Computational Statistics & Data …, 2024 - Elsevier
In many practical applications, evaluating the joint impact of combinations of environmental
variables is important for risk management and structural design analysis. When such …

Evaluating the performance of a max-stable process for estimating intensity-duration-frequency curves

OE Jurado, J Ulrich, M Scheibel, HW Rust - Water, 2020 - mdpi.com
To explicitly account for asymptotic dependence between rainfall intensity maxima of
different accumulation duration, a recent development for estimating Intensity-Duration …

Spatial modeling of drought events using max-stable processes

M Oesting, A Stein - Stochastic environmental research and risk …, 2018 - Springer
With their severe environmental and socioeconomic impact, drought events belong to the
most far-reaching natural disasters. Effects are tremendous in rain-fed agricultural areas as …

Asymptotic behavior of an intrinsic rank-based estimator of the Pickands dependence function constructed from B-splines

A Bücher, C Genest, RA Lockhart, JG Nešlehová - Extremes, 2023 - Springer
A bivariate extreme-value copula is characterized by its Pickands dependence function, ie, a
convex function defined on the unit interval satisfying boundary conditions. This paper …

A comparison of dependence function estimators in multivariate extremes

S Vettori, R Huser, MG Genton - Statistics and Computing, 2018 - Springer
Various nonparametric and parametric estimators of extremal dependence have been
proposed in the literature. Nonparametric methods commonly suffer from the curse of …

[HTML][HTML] Non-linear models for extremal dependence

L Mhalla, V Chavez-Demoulin, P Naveau - Journal of Multivariate Analysis, 2017 - Elsevier
The dependence structure of max-stable random vectors can be characterized by their
Pickands dependence function. In many applications, the extremal dependence measure …