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We introduce a novel forecasting model for crop yields that explicitly accounts for spatio-temporal dependence and the influence of extreme weather and climatic events. Our approach combines Bayesian Structural Time Series for modeling…

Methodology · Statistics 2025-04-01 Marie Michaelides , Mélina Mailhot , Yongkun Li

Determining the causes of extreme events is a fundamental question in many scientific fields. An important aspect when modelling multivariate extremes is the tail dependence. In application, the extreme dependence structure may…

Methodology · Statistics 2022-12-21 Juraj Bodik , Linda Mhalla , Valérie Chavez-Demoulin

Inference over tails is performed by applying only the results of extreme value theory. Whilst such theory is well defined and flexible enough in the univariate case, multivariate inferential methods often require the imposition of…

Methodology · Statistics 2017-08-11 Manuele Leonelli , Dani Gamerman

Extreme value analysis is an essential methodology in the study of rare and extreme events, which hold significant interest in various fields, particularly in the context of environmental sciences. Models that employ the exceedances of…

Methodology · Statistics 2025-07-16 Lorenzo Dell'Oro , Carlo Gaetan

Extreme weather is one of the main mechanisms through which climate change will directly impact human society. Coping with such change as a global community requires markedly improved understanding of how global warming drives extreme…

Computational Physics · Physics 2019-09-18 Adam Rupe , Karthik Kashinath , Nalini Kumar , Victor Lee , Prabhat , James P. Crutchfield

Extreme value analysis (EVA) is a statistical method that studies the properties of extreme values of datasets, crucial for fields like engineering, meteorology, finance, insurance, and environmental science. EVA models extreme events using…

Biological Physics · Physics 2024-10-15 Kumiko Hayashi , Nobumichi Takamatsu , Shunki Takaramoto

In statistics, time-to-event analysis methods traditionally focus on the estimation of hazards. In recent years, machine learning methods have been proposed to directly predict the event times. We propose a method based on vine copula…

Methodology · Statistics 2021-11-16 Shenyi Pan , Harry Joe

In extreme values theory, for a sufficiently large block size, the maxima distribution is approximated by the generalized extreme value (GEV) distribution. The GEV distribution is a family of continuous probability distributions, which has…

Methodology · Statistics 2021-09-28 Cira E. G. Otiniano , Bianca Sousa , Roberto Vila , Marcelo Bourguignon

Multivariate extreme value distributions are a common choice for modelling multivariate extremes. In high dimensions, however, the construction of flexible and parsimonious models is challenging. We propose to combine bivariate max-stable…

Methodology · Statistics 2024-12-25 Shuang Hu , Zuoxiang Peng , Johan Segers

In this paper, we discuss the emergence of extreme events in a parametrically driven non-polynomial mechanical system with a velocity-dependent potential. We confirm the occurrence of extreme events from the probability distribution…

Statistical Mechanics · Physics 2021-06-22 S. Sudharsan , A. Venkatesan , P. Muruganandam , M. Senthilvelan

This article summarizes the contribution of team genEVA to the EVA (2023) Conference Data Challenge. The challenge comprises four individual tasks, with two focused on univariate extremes and two related to multivariate extremes. In the…

Causal inference for extreme events has many potential applications in fields such as climate science, medicine and economics. We study the extremal quantile treatment effect of a binary treatment on a continuous, heavy-tailed outcome.…

Methodology · Statistics 2023-07-06 David Deuber , Jinzhou Li , Sebastian Engelke , Marloes H. Maathuis

Large language model-powered multi-agent systems have emerged as powerful tools for simulating complex human-like systems. The interactions within these systems often lead to extreme events whose origins remain obscured by the black box of…

Multiagent Systems · Computer Science 2026-02-17 Ling Tang , Jilin Mei , Dongrui Liu , Chen Qian , Dawei Cheng , Jing Shao , Xia Hu

This paper presents a novel semiparametric method to study the effects of extreme events on binary outcomes and subsequently forecast future outcomes. Our approach, based on Bayes' theorem and regularly varying (RV) functions, facilitates a…

Econometrics · Economics 2025-02-25 Laura Liu , Yulong Wang

In this paper we discuss the problem of the estimation of extreme event occurrence probability for data drawn from some multifractal process. We also study the heavy (power-law) tail behavior of probability density function associated with…

Statistical Mechanics · Physics 2009-11-11 Jean-Francois Muzy , Emmanuel Bacry , Alexey Kozhemyak

Extreme value theory is concerned with probabilistic and statistical questions related to very high or very low values in sequences of random variables and in stochastic processes. The subject has a rich mathematical theory and also a long…

Applications · Statistics 2014-03-31 Ali Saeb

Extreme values and the tail behavior of probability distributions are essential for quantifying and mitigating risk in complex systems of all kinds. In multivariate settings, accounting for correlations is crucial. Although extreme value…

Statistical Finance · Quantitative Finance 2026-03-06 Benjamin Köhler , Anton J. Heckens , Thomas Guhr

Extreme value theory (EVT) provides an elegant mathematical tool for the statistical analysis of rare events. When data are collected from multiple population subgroups, because some subgroups may have less data available for extreme value…

Methodology · Statistics 2024-10-22 Koki Momoki , Takuma Yoshida

Extreme hydrological events in the Danube river basin may severely impact human populations, aquatic organisms, and economic activity. One often characterizes the joint structure of the extreme events using the theory of multivariate and…

Applications · Statistics 2020-04-02 Linda Mhalla , Valérie Chavez-Demoulin , Debbie J. Dupuis

Verifying probabilistic forecasts for extreme events is a highly active research area because popular media and public opinions are naturally focused on extreme events, and biased conclusions are readily made. In this context, classical…