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 …

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 …

A horse race between the block maxima method and the peak–over–threshold approach

A Bücher, C Zhou - Statistical Science, 2021 - projecteuclid.org
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 © …

A comparative tour through the simulation algorithms for max-stable processes

M Oesting, K Strokorb - Statistical Science, 2022 - projecteuclid.org
Being the max-analogue of α-stable stochastic processes, max-stable processes form one of
the fundamental classes of stochastic processes. With the arrival of sufficient computational …

Generalized Pareto processes for simulating space-time extreme events: an application to precipitation reanalyses

F Palacios-Rodríguez, G Toulemonde… - … Research and Risk …, 2020 - Springer
To better manage the risks of destructive natural disasters, impact models can be fed with
simulations of extreme scenarios to study the sensitivity to temporal and spatial variability …

On logarithmically optimal exact simulation of max-stable and related random fields on a compact set

Z Liu, JH Blanchet, AB Dieker, T Mikosch - 2019 - projecteuclid.org
We consider the random field M (t)= sup _ n\geq1 {-\log A_ n+ X_ n (t)\},\qquad t ∈ T, for a
set T⊂R^m, where (X_n) is an iid sequence of centered Gaussian random fields on T and …

On optimal exact simulation of max-stable and related random fields

Z Liu, JH Blanchet, AB Dieker, T Mikosch - arXiv preprint arXiv:1609.06001, 2016 - arxiv.org
We consider the random field M (t)=\sup_ {n\geq 1}\big\{-\log A_ {n}+ X_ {n}(t)\big\}\,,\qquad
t\in T\, for a set $ T\subset\mathbb {R}^{m} $, where $(X_ {n}) $ is an iid sequence of …

High-dimensional inference using the extremal skew-t process

B Beranger, AG Stephenson, SA Sisson - Extremes, 2021 - Springer
Max-stable processes are a popular tool for the study of environmental extremes, and the
extremal skew-t process is a general model that allows for a flexible extremal dependence …

PERAMALAN CURAH HUJAN EKSTREM DI KOTA MEDAN DENGAN MODEL SPATIAL EXTREME VALUE DENGAN PENDEKATAN MAX STABLE PROCESS

A Nadila, MAP Siregar - Jurnal Lebesgue: Jurnal …, 2023 - lebesgue.lppmbinabangsa.id
This research includes extreme spatial values. Application of the method with the Max-
Stable (MSP) process. The approach will be used for the analysis of extreme rainfall in …

Pareto processes for threshold exceedances in spatial extremes

C Dombry, J Legrand, T Opitz - arXiv preprint arXiv:2407.05699, 2024 - arxiv.org
We review some recent development in the theory of spatial extremes related to Pareto
Processes and modeling of threshold exceedances. We provide theoretical background …