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Reliably identifying and understanding temporal precursors to extreme wind gusts is crucial for early warning and mitigation. This study proposes a simple data-driven approach to extract key predictors from a dataset of historical extreme…

Atmospheric and Oceanic Physics · Physics 2026-01-14 Frederick Iat-Hin Tam , Fabien Augsburger , Tom Beucler

Rare weather and climate events, such as heat waves and floods, can bring tremendous social costs. Climate data is often limited in duration and spatial coverage, and climate forecasting has often turned to simulations of climate models to…

Methodology · Statistics 2020-05-18 Meagan Carney , Holger Kantz , Matthew Nicol

Accurately quantifying tail risks-rare but high-impact events such as financial crashes or extreme weather-is a central challenge in risk management, with serially dependent data. We develop a Bayesian framework based on the Generalized…

Methodology · Statistics 2025-10-17 David L. Carl , Simone A. Padoan , Stefano Rizzelli

We propose an extension of the regular Cox's proportional hazards model which allows the estimation of the probabilities of rare events. It is known that when the data are heavily censored at the upper end of the survival distribution, the…

Methodology · Statistics 2019-01-23 Ion Grama , Kevin Jaunatre

Extreme events and the heavy tail distributions driven by them are ubiquitous in various scientific, engineering and financial research. They are typically associated with stochastic instability caused by hidden unresolved processes.…

Probability · Mathematics 2019-05-22 Andrew J. Majda , Xin T. Tong

Consider two stationary time series with heavy-tailed marginal distributions. We aim to detect whether they have a causal relation, that is, if a change in one causes a change in the other. Usual methods for causal discovery are not well…

Statistics Theory · Mathematics 2023-11-20 Juraj Bodik , Zbyněk Pawlas , Milan Paluš

There is substantial empirical and climatological evidence that precipitation extremes have become more extreme during the twentieth century, and that this trend is likely to continue as global warming becomes more intense. However,…

Using fine-grained, publicly available data, this paper studies the short-term association between environmental factors, i.e., weather and air pollution characteristics, and weekly mortality rates in small geographical regions in Europe.…

Applications · Statistics 2024-10-07 Jens Robben , Katrien Antonio , Torsten Kleinow

Extreme event attribution characterizes how anthropogenic climate change may have influenced the probability and magnitude of selected individual extreme weather and climate events. Attribution statements often involve quantification of the…

Methodology · Statistics 2018-02-06 Soyoung Jeon , Christopher J. Paciorek , Michael F. Wehner

This book chapter illustrates how to apply extreme value statistics to financial time series data. Such data often exhibits strong serial dependence, which complicates assessment of tail risks. We discuss the two main approches to tail risk…

Risk Management · Quantitative Finance 2024-09-30 Anna Kiriliouk , Chen Zhou

Climate models are essential for assessing the impact of greenhouse gas emissions on our changing climate and the resulting increase in the frequency and severity of natural disasters. Despite the widespread acceptance of climate models…

Atmospheric and Oceanic Physics · Physics 2023-11-08 Vsevolod Morozov , Artem Galliamov , Aleksandr Lukashevich , Antonina Kurdukova , Yury Maximov

In traditional extreme value analysis, the bulk of the data is ignored, and only the tails of the distribution are used for inference. Extreme observations are specified as values that exceed a threshold or as maximum values over distinct…

Applications · Statistics 2021-10-20 Mitchell Krock , Julie Bessac , Michael L. Stein , Adam H. Monahan

Extreme events such as natural and economic disasters leave lasting impacts on society and motivate the analysis of extremes from data. While classical statistical tools based on Gaussian distributions focus on average behaviour and can…

Applications · Statistics 2023-11-01 Michele Nguyen , Almut E. D. Veraart , Benoit Taisne , Tan Chiou Ting , David Lallemant

Extreme value applications commonly employ regression techniques to capture cross-sectional heterogeneity or time-variation in the data. Estimation of the parameters of an extreme value regression model is notoriously challenging due to the…

Methodology · Statistics 2022-05-12 Debbie J. Dupuis , Sebastian Engelke , Luca Trapin

The prediction of extreme events in time series is a fundamental problem arising in many financial, scientific, engineering, and other applications. We begin by establishing a general Neyman-Pearson-type characterization of optimal extreme…

Statistics Theory · Mathematics 2025-01-17 Victor Verma , Stilian Stoev , Yang Chen

Driven by the increasing frequency and intensity of natural disasters and chronic climate threats, we investigate the impact of physical climate risk on global equity portfolios. By employing a panel regression analysis on sectoral returns,…

Portfolio Management · Quantitative Finance 2026-04-14 Michele Azzone , Carlo Bechi , Gabriele Sbaiz

Electricity networks are vulnerable to weather damage, with severe events often leading to faults and power outages. Timely forecasts of fault occurrences, ranging from nowcasts to several days ahead, can enhance preparedness, support…

Applications · Statistics 2026-03-03 Mateus Maia , Daniela Castro-Camilo , Jethro Browell

Extreme geophysical events are of crucial relevance to our daily life: they threaten human lives and cause property damage. To assess the risk and reduce losses, we need to model and probabilistically predict these events. Parametrizations…

Chaotic Dynamics · Physics 2019-09-04 Guannan Hu , Tamás Bódai , Valerio Lucarini

Modern statistical analyses often encounter datasets with massive sizes and heavy-tailed distributions. For datasets with massive sizes, traditional estimation methods can hardly be used to estimate the extreme value index directly. To…

Methodology · Statistics 2022-07-26 Yongxin Li , Liujun Chen , Deyuan Li , Hansheng Wang

Recently, the concept of tail dependence has been discussed in financial applications related to market or credit risk. The multivariate extreme value theory is a proper tool to measure and model dependence, for example, of large loss…

Applications · Statistics 2011-09-27 Marta Ferreira
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