Graphical models for extremes
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 …
statistical models and for understanding the structural relationships in the data. The theory of …
A modeler's guide to extreme value software
This review paper surveys recent development in software implementations for extreme
value analyses since the publication of Stephenson and Gilleland (Extremes 8: 87–109,) …
value analyses since the publication of Stephenson and Gilleland (Extremes 8: 87–109,) …
Non-stationary dependence structures for spatial extremes
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 …
asymptotic approximations to the distribution of maxima of random fields. In the recent past …
Estimation of multivariate tail quantities
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 …
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 …
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 …
different accumulation duration, a recent development for estimating Intensity-Duration …
Spatial modeling of drought events using max-stable processes
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 …
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 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 …
convex function defined on the unit interval satisfying boundary conditions. This paper …
A comparison of dependence function estimators in multivariate extremes
Various nonparametric and parametric estimators of extremal dependence have been
proposed in the literature. Nonparametric methods commonly suffer from the curse of …
proposed in the literature. Nonparametric methods commonly suffer from the curse of …
[HTML][HTML] Non-linear models for extremal dependence
The dependence structure of max-stable random vectors can be characterized by their
Pickands dependence function. In many applications, the extremal dependence measure …
Pickands dependence function. In many applications, the extremal dependence measure …