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Because of the impact of extreme heat waves and heat domes on society and biodiversity, their study is a key challenge. We specifically study long-lasting extreme heat waves, which are among the most important for climate impacts. Physics…

Machine Learning · Computer Science 2022-01-14 Valérian Jacques-Dumas , Francesco Ragone , Pierre Borgnat , Patrice Abry , Freddy Bouchet

In this paper, we propose a new dynamical model to study the two-stage volatility evolution of stock market index after extreme events, and find that the volatility after extreme events follows a stretched exponential decay in the initial…

Statistical Finance · Quantitative Finance 2022-01-11 Mei-Ling Cai , Zhang-HangJian Chen , Sai-Ping Li , Xiong Xiong , Wei Zhang , Ming-Yuan Yang , Fei Ren

In risk management, often the probability must be estimated that a random vector falls into an extreme failure set. In the framework of bivariate extreme value theory, we construct an estimator for such failure probabilities and analyze its…

Methodology · Statistics 2015-06-04 Holger Drees , Laurens de Haan

Risk assessment for extreme events requires accurate estimation of high quantiles that go beyond the range of historical observations. When the risk depends on the values of observed predictors, regression techniques are used to interpolate…

Methodology · Statistics 2024-11-14 Olivier C. Pasche , Sebastian Engelke

Ultra-reliable low-latency communications (URLLC) require innovative approaches to modeling channel and interference dynamics, extending beyond traditional average estimates to encompass entire statistical distributions, including rare and…

Systems and Control · Electrical Eng. & Systems 2025-01-22 Fateme Salehi , Aamir Mahmood , Sinem Coleri , Mikael Gidlund

The sporadic large fluctuations are seen in the stock market due to changes in fundamental parameters, technical setups, and external factors. These large fluctuations are termed as Extreme Events (EE). The EEs may be positive or negative…

Statistical Finance · Quantitative Finance 2023-08-09 Anish Rai , Salam Rabindrajit Luwang , Md Nurujjaman , Chittaranjan Hens , Pratyay Kuila , Kanish Debnath

In econometrics, the Efficient Market Hypothesis posits that asset prices reflect all available information in the market. Several empirical investigations show that market efficiency drops when it undergoes extreme events. Many models for…

Statistical Finance · Quantitative Finance 2025-07-02 Junshu Jiang , Jordan Richards , Raphaël Huser , David Bolin

In this article we show the relationship between the Pareto distribution and the gamma distribution. This shows that the second one, appropriately extended, explains some anomalies that arise in the practical use of extreme value theory.…

Statistics Theory · Mathematics 2012-11-02 Joan del castillo , Jalila Daoudi , Isabel Serra

Extreme events frequently occur in real-world time series and often carry significant practical implications. In domains such as climate and healthcare, these events, such as floods, heatwaves, or acute medical episodes, can lead to serious…

Machine Learning · Computer Science 2025-10-24 Quan Li , Wenchao Yu , Suhang Wang , Minhua Lin , Lingwei Chen , Wei Cheng , Haifeng Chen

Estimating the probability of rare channel conditions is a central challenge in ultra-reliable wireless communication, where random events, such as deep fades, can cause sudden variations in the channel quality. This paper proposes a…

Signal Processing · Electrical Eng. & Systems 2024-07-08 Tobias Kallehauge , Anders E. Kalør , Pablo Ramírez-Espinosa , Christophe Biscio , Petar Popovski

Volcanic tremor is key to our understanding of active magmatic systems but, due to its complexity, there is still a debate concerning its origins and how it can be used to characterize eruptive dynamics. In this study we leverage machine…

Geophysics · Physics 2020-04-22 C. X. Ren , A. Peltier , V. Ferrazzini , B. Rouet-Leduc , P. A. Johnson , F. Brenguier

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…

This paper introduces a novel sub-sampling block maxima technique to model and characterize environmental extreme risks. We examine the relationships between block size and block maxima statistics derived from the Gaussian and generalized…

Methodology · Statistics 2025-06-18 Tuoyuan Cheng , Xiao Peng , Achmad Choiruddin , Xiaogang He , Kan Chen

In 5G and beyond networks, the radio communication between a User Equipment (UE) and a base station (gNodeB or gNB), also known as the air interface, is a critical component of network access and connectivity. During the connection…

Cryptography and Security · Computer Science 2025-11-04 Dang Kien Nguyen , Rim El Malki , Filippo Rebecchi , Raymond Knopp , Melek Önen

Periodic inspections are necessary to keep railroad tracks in state of good repair and prevent train accidents. Automatic track inspection using machine vision technology has become a very effective inspection tool. Because of its…

Computer Vision and Pattern Recognition · Computer Science 2015-10-21 Xavier Gibert , Vishal M. Patel , Rama Chellappa

The study of the extreme weather space events is important for a technological dependent society. Extreme Value Theory could be decisive to characterize those extreme events in order to have the knowledge to make decisions in technological,…

Space Physics · Physics 2024-02-02 F. J. Acero , J. M. Vaquero , M. C. Gallego , J. A. García

Studying extreme events and how they evolve in a changing climate is one of the most important current scientific challenges. Starting from complex climate models, a key difficulty is to be able to run long enough simulations in order to…

Atmospheric and Oceanic Physics · Physics 2017-12-27 Francesco Ragone , Jeroen Wouters , Freddy Bouchet

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

Catastrophic losses caused by natural disasters receive a growing concern about the severe rise in magnitude and frequency. The constructions of insurance and financial management scheme become increasingly necessary to diversify the…

Risk Management · Quantitative Finance 2021-12-02 Chengxiu Ling , Jiayi Li , Yixuan Liu , Zhiyan Cai

In this article, we present an approach which allows to take into account the effect of extreme values in the modeling of financial asset returns and in the valorisation of associeted options. Specifically, the marginal distribution of…

Pricing of Securities · Quantitative Finance 2021-05-25 Hassane Abba Mallam , Diakarya Barro , Yameogo WendKouni , Bisso Saley