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 …

Trade with correlation

N Lind, N Ramondo - American Economic Review, 2023 - aeaweb.org
We develop a trade model with correlation in productivity across countries. The model spans
the full class of generalized extreme value import demand systems and implies that …

Exact simulation of Brown-Resnick random fields at a finite number of locations

AB Dieker, T Mikosch - Extremes, 2015 - Springer
Exact simulation of Brown-Resnick random fields at a finite number of locations Page 1
Extremes (2015) 18:301–314 DOI 10.1007/s10687-015-0214-4 Exact simulation of Brown-Resnick …

Functional regular variations, Pareto processes and peaks over threshold

C Dombry, M Ribatet - Statistics and its Interface, 2015 - intlpress.com
History: The latest developments of extreme value theory focus on the functional framework
and much effort has been put in the theory of max-stable processes and functional regular …

Graphical models for infinite measures with applications to extremes and L\'evy processes

S Engelke, J Ivanovs, K Strokorb - arXiv preprint arXiv:2211.15769, 2022 - arxiv.org
Conditional independence and graphical models are well studied for probability
distributions on product spaces. We propose a new notion of conditional independence for …

Simulation of Brown–Resnick processes

M Oesting, Z Kabluchko, M Schlather - Extremes, 2012 - Springer
Brown–Resnick processes form a flexible class of stationary max-stable processes based on
Gaussian random fields. With regard to applications, fast and accurate simulation of these …

[HTML][HTML] Measures of serial extremal dependence and their estimation

RA Davis, T Mikosch, Y Zhao - Stochastic Processes and their Applications, 2013 - Elsevier
The goal of this paper is two-fold:(1) We review classical and recent measures of serial
extremal dependence in a strictly stationary time series as well as their estimation.(2) We …

Global innovation and knowledge diffusion

N Lind, N Ramondo - American Economic Review: Insights, 2023 - aeaweb.org
We develop a Ricardian model of trade where countries innovate ideas that diffuse globally.
Our key result provides necessary and sufficient conditions for innovation and diffusion to …

Some variations on the extremal index

G Buriticá, M Nicolas, T Mikosch… - arXiv preprint arXiv …, 2021 - arxiv.org
We re-consider Leadbetter's extremal index for stationary sequences. It has interpretation as
reciprocal of the expected size of an extremal cluster above high thresholds. We focus on …

On the structure and representations of max-stable processes

Y Wang, SA Stoev - Advances in Applied Probability, 2010 - cambridge.org
We develop classification results for max-stable processes, based on their spectral
representations. The structure of max-linear isometries and minimal spectral representations …