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Metocean extremes often vary systematically with covariates such as direction and season. In this work, we present non-stationary models for the size and rate of occurrence of peaks over threshold of metocean variables with respect to one-…

统计方法学 · 统计学 2022-01-12 Anna Maria Barlow , Ed Mackay , Emma Eastoe , Philip Jonathan

Numerous approaches are proposed in the literature for non-stationarity marginal extreme value inference, including different model parameterisations with respect to covariate, and different inference schemes. The objective of this article…

应用统计 · 统计学 2022-02-16 Matthew Jones , David Randell , Kevin Ewans , Philip Jonathan

Conditionally specified models are often used to describe complex multivariate data. Such models assume implicit structures on the extremes. So far, no methodology exists for calculating extremal characteristics of conditional models since…

统计理论 · 数学 2022-02-24 Stan Tendijck , Jonathan Tawn , Philip Jonathan

Models for extreme values accommodating non-stationarity have been amply studied and evaluated from a parametric perspective. Whilst these models are flexible, in the sense that many parametrizations can be explored, they assume an…

应用统计 · 统计学 2022-02-16 Evandro Konzen , Claudia Neves , Philip Jonathan

The max-stable process is an asymptotically justified model for spatial extremes. In particular, we focus on the hierarchical extreme-value process (HEVP), which is a particular max-stable process that is conducive to Bayesian computing.…

统计方法学 · 统计学 2020-03-25 Yuan Tian , Brian J. Reich

Inference in extreme value theory relies on a limited number of extreme observations, making estimation challenging. To address this limitation, we propose a non-parametric simulation scheme, the multivariate extreme events spectral…

统计方法学 · 统计学 2026-04-13 Nisrine Madhar , Juliette Legrand , Maud Thomas

Conditional extreme value models have been introduced by Heffernan and Resnick (2007) to describe the asymptotic behavior of a random vector as one specific component becomes extreme. Obviously, this class of models is related to classical…

概率论 · 数学 2017-02-24 Holger Drees , Anja Janßen

A geometric setup for constrained variational calculus is presented. The analysis deals with the study of the extremals of an action functional defined on piecewise differentiable curves, subject to differentiable, non-holonomic…

数学物理 · 物理学 2015-05-08 Enrico Massa , Danilo Bruno , Gianvittorio Luria , Enrico Pagani

This paper develops new extremal principles of variational analysis that are motivated by applications to constrained problems of stochastic programming and semi-infinite programming without smoothness and/or convexity assumptions. These…

最优化与控制 · 数学 2020-07-23 Boris S. Mordukhovich , Pedro Pérez-Aros

nsEVDx is an open-source Python package for fitting stationary and nonstationary Extreme Value Distributions (EVDs) to extreme value data. It can be used to model extreme events in fields like hydrology, climate science, finance, and…

统计计算 · 统计学 2025-09-10 Nischal Kafle , Claudio I. Meier

The coarse spatial resolution of gridded climate models, such as general circulation models, limits their direct use in projecting socially relevant variables like extreme precipitation. Most downscaling methods estimate the conditional…

大气与海洋物理 · 物理学 2026-01-06 Louise Largeau , Tom Beucler , David Leutwyler , Gregoire Mariethoz , Valerie Chavez-Demoulin , Erwan Koch

Multivariate extreme value models are used to estimate joint risk in a number of applications, with a particular focus on environmental fields ranging from climatology and hydrology to oceanography and seismic hazards. The semi-parametric…

统计方法学 · 统计学 2019-08-08 Ross Towe , Jonathan Tawn , Rob Lamb , Chris Sherlock

Multivariate extreme value analysis quantifies the probability and magnitude of joint extreme events. River discharges from the upper Danube River basin provide a challenging dataset for such analysis because the data, which is measured on…

统计方法学 · 统计学 2025-04-14 Aiden Farrell , Emma F. Eastoe , Clement Lee

Simultaneous concurrence of extreme values across multiple climate variables can result in large societal and environmental impacts. Therefore, there is growing interest in understanding these concurrent extremes. In many applications, not…

应用统计 · 统计学 2021-03-16 Whitney K. Huang , Adam H. Monahan , Francis W. Zwiers

Extreme environmental events frequently exhibit spatial and temporal dependence. These data are often modeled using max stable processes (MSPs). MSPs are computationally prohibitive to fit for as few as a dozen observations, with supposed…

统计方法学 · 统计学 2022-05-02 Emily C. Hector , Brian J. Reich

The paper introduces a new regression model designed for situations where both the response and covariates are non-stationary extremes. This method is specifically designed for situations where both the response variable and covariates are…

统计方法学 · 统计学 2025-06-26 Amina El Bernoussi , Mohamed El Arrouchi

Modeling a high-dimensional Hamiltonian system in reduced dimensions with respect to coarse-grained (CG) variables can greatly reduce computational cost and enable efficient bottom-up prediction of main features of the system for many…

计算工程、金融与科学 · 计算机科学 2021-04-09 Shu Wang , Zhan Ma , Wenxiao Pan

We have built an integrated computational platform for material properties at extreme conditions, ProME (Professional Materials at Extremes) v1.0, which enables integrated calculations for multicomponent alloys, covering high temperatures…

In spite of the interest in and appeal of convolution-based approaches for nonstationary spatial modeling, off-the-shelf software for model fitting does not as of yet exist. Convolution-based models are highly flexible yet notoriously…

统计计算 · 统计学 2017-02-07 Mark D. Risser , Catherine A. Calder

The present article is devoted to the semi-parametric estimation of multivariate expectiles for extreme levels. The considered multivariate risk measures also include the possible conditioning with respect to a functional covariate,…

统计理论 · 数学 2023-03-30 Elena Di Bernardino , Thomas Laloë , Cambyse Pakzad
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