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 …

Changes in the Earth's climate have been increasingly observed. Assessing the likelihood
that each of these changes has been caused by human influence is important for decision …

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 …

When assessing the impact of extreme events, it is often not just a single component, but the
combined behavior of several components which is important. Statistical modeling using …

Extremal graphical models are sparse statistical models for multivariate extreme events. The
underlying graph encodes conditional independencies and enables a visual interpretation …

This review paper surveys recent development in software implementations for extreme
value analyses since the publication of Stephenson and Gilleland (Extremes 8: 87–109,) …

The successive flood-heat extreme (SFHE) event, which threatens the securities of human
health, economy, and building environment, has attracted extensive research attention …

Multivariate generalized Pareto distributions arise as the limit distributions of exceedances
over multivariate thresholds of random vectors in the domain of attraction of a max-stable …

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 …

A Horse Race between the Block Maxima Method and the Peak-over-Threshold Approach
Page 1 Statistical Science 2021, Vol. 36, No. 3, 360–378 https://doi.org/10.1214/20-STS795 © …