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A critical problem in extreme value theory (EVT) is the estimation of parameters for the limit probability distributions. Block maxima (BM), an approach in EVT that seeks estimates of parameters of the generalized extreme value distribution…

Methodology · Statistics 2024-08-08 Juan L. P. Soto

In weather forecasting, nonhomogeneous regression is used to statistically postprocess forecast ensembles in order to obtain calibrated predictive distributions. For wind speed forecasts, the regression model is given by a truncated normal…

Applications · Statistics 2013-11-19 Sebastian Lerch , Thordis L. Thorarinsdottir

Estimation of extreme conditional quantiles is often required for risk assessment of natural hazards in climate and geo-environmental sciences and for quantitative risk management in statistical finance, econometrics, and actuarial…

Methodology · Statistics 2024-04-16 Jordan Richards , Raphaël Huser

We introduce and study Multi-Quantile estimators for the parameters $( \xi, \sigma, \mu)$ of Generalized Extreme Value (GEV) distributions to provide a robust approach to extreme value modeling. Unlike classical estimators, such as the…

Methodology · Statistics 2025-03-03 Sen Lin , Ao Kong , Robert Azencott

Extremes play a special role in Anomaly Detection. Beyond inference and simulation purposes, probabilistic tools borrowed from Extreme Value Theory (EVT), such as the angular measure, can also be used to design novel statistical learning…

Machine Learning · Statistics 2016-04-01 Nicolas Goix , Anne Sabourin , Stéphan Clémençon

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

This thesis evaluates most of the extreme mixture models and methods that have appended in the literature and implements them in the context of finance and insurance. The paper also reviews and studies extreme value theory, time series,…

General Economics · Economics 2024-07-09 Yujuan Qiu

Nowadays, Neural Networks are considered one of the most effective methods for various tasks such as anomaly detection, computer-aided disease detection, or natural language processing. However, these networks suffer from the ``black-box''…

Machine Learning · Statistics 2025-05-14 Ines Ortega-Fernandez , Marta Sestelo

In order to better fit real-world datasets, studying asymmetric distribution is of great interest. In this work, we derive several mathematical properties of a general class of asymmetric distributions with positive support which shows up…

Statistics Theory · Mathematics 2025-12-11 Felipe S. Quintino , Pushpa N. Rathie , Luan C. S. M. Ozelim , Tiago A. da Fonseca , Roberto Vila

Extreme value (EV) statistics of correlated systems are widely investigated in many fields, spanning the spectrum from weather forecasting to earthquake prediction. Does the unavoidable discrete sampling of a continuous correlated…

Statistical Mechanics · Physics 2022-08-29 Lior Zarfaty , Eli Barkai , David A. Kessler

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

We deal with a general class of extreme-value regression models introduced by Barreto- Souza and Vasconcellos (2011). Our goal is to derive an adjusted likelihood ratio statistic that is approximately distributed as \c{hi}2 with a high…

Statistics Theory · Mathematics 2012-08-14 Silvia L. P. Ferrari , Eliane C. Pinheiro

Normal mean-variance mixture distributions are widely applied to simplify a model's implementation and improve their computational efficiency under the Maximum Likelihood (ML) approach. Especially for distributions with normal mean-variance…

Methodology · Statistics 2015-06-18 Thanakorn Nitithumbundit , Jennifer S. K. Chan

Numerical climate models are complex and combine a large number of physical processes. They are key tools in quantifying the relative contribution of potential anthropogenic causes (e.g., the current increase in greenhouse gases) on high…

Applications · Statistics 2020-05-19 Anna Kiriliouk , Philippe Naveau

The longevity R package provides provide maximum likelihood estimation routine for modelling of survival data that are subject to non-informative censoring and truncation mechanisms. It includes a selection of 12 parametric models of…

Applications · Statistics 2023-11-17 Léo R. Belzile

We search for the signature of universal properties of extreme events, theoretically predicted for Axiom A flows, in a chaotic and high dimensional dynamical system by studying the convergence of GEV (Generalized Extreme Value) and GP…

Chaotic Dynamics · Physics 2020-11-16 Vera Melinda Galfi , Tamas Bodai , Valerio Lucarini

This paper introduces a sophisticated and adaptable framework combining extreme value theory with radio maps to spatially model extreme channel conditions accurately. Utilising existing signal-to-noise ratio (SNR) measurements and…

Networking and Internet Architecture · Computer Science 2024-04-09 Dian Echevarría Pérez , Onel L. Alcaraz López , Hirley Alves

The covXtreme software provides functionality for estimation of marginal and conditional extreme value models, non-stationary with respect to covariates, and environmental design contours. Generalised Pareto (GP) marginal models of peaks…

Methodology · Statistics 2024-04-26 Ross Towe , Emma Ross , David Randell , Philip Jonathan

Data augmentation with generative adversarial networks (GANs) has been popular for class imbalance problems, mainly for pattern classification and computer vision-related applications. Extreme value forecasting is a challenging field that…

Machine Learning · Computer Science 2025-10-06 Junru Hua , Rahul Ahluwalia , Rohitash Chandra

The purpose of this paper is to illustrate new techniques for computing multiday extreme precipitation taken from recent theoretical advancements in extreme value theory in the framework of dynamical systems, using historical precipitation…

Dynamical Systems · Mathematics 2024-03-18 Ruethaichanok Kardkasem , Meagan Carney
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