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The climate change dispute is about changes over time of environmental characteristics (such as rainfall). Some people say that a possible change is not so much in the mean but rather in the extreme phenomena (that is, the average rainfall…

Statistics Theory · Mathematics 2015-06-16 Laurens de Haan , Albert Klein Tank , Cláudia Neves

Modelling the extremal dependence of bivariate variables is important in a wide variety of practical applications, including environmental planning, catastrophe modelling and hydrology. The majority of these approaches are based on the…

Methodology · Statistics 2024-06-27 C. J. R. Murphy-Barltrop , J. L. Wadsworth , E. F. Eastoe

Our article addresses the problem of flexibly estimating a multivariate density while also attempting to estimate its marginals correctly. We do so by proposing two new estimators that try to capture the best features of mixture of normals…

Methodology · Statistics 2009-01-05 Paolo Giordani , Xiuyan Mun , Robert Kohn

Reliable estimates of sea level return levels are crucial for coastal flooding risk assessments and for coastal flood defence design. We describe a novel method for estimating extreme sea levels that is the first to capture seasonality,…

Applications · Statistics 2022-07-21 Eleanor D'Arcy , Jonathan A. Tawn , Amélie Joly , Dafni E. Sifnioti

Endogeneity poses significant challenges in causal inference across various research domains. This paper proposes a novel approach to identify and estimate causal effects in the presence of endogeneity. We consider a structural equation…

Methodology · Statistics 2025-08-26 Ruoyu Wang , Wang Miao

Probability density estimation from observed data constitutes a central task in statistics. In this brief, we focus on the problem of estimating the copula density associated to any observed data, as it fully describes the dependence…

Machine Learning · Computer Science 2025-07-09 Nunzio A. Letizia , Nicola Novello , Andrea M. Tonello

We give necessary and sufficient conditions for two sub-vectors of a random vector with a multivariate extreme value distribution, corresponding to the limit distribution of the maximum of a multidimensional stationary sequence with…

Probability · Mathematics 2010-06-09 Clara Viseu , Luísa Pereira , Ana Paula Martins , Helena Ferreira

Climate extremes such as floods, storms, and heatwaves have caused severe economic and human losses across Europe in recent decades. To support the European Union's climate resilience efforts, we propose a statistical framework for…

Applications · Statistics 2025-05-26 Carlotta Pacifici , Simone A. Padoan , Jaroslav Mysiak

The processes of the averaged regression quantiles and of their modifications provide useful tools in the regression models when the covariates are not fully under our control. As an application we mention the probabilistic risk assessment…

Statistics Theory · Mathematics 2017-10-19 Jana Jurečková , Martin Schindler , Jan Picek

When extreme weather events affect large areas, their regional to sub-continental spatial scale is important for their impacts. We propose a novel machine learning (ML) framework that integrates spatial extreme-value theory to model weather…

Applications · Statistics 2025-05-29 Jonathan Koh , Daniel Steinfeld , Olivia Martius

We introduce a rigorous mathematical framework for Granger causality in extremes, designed to identify causal links from extreme events in time series. Granger causality plays a pivotal role in uncovering directional relationships among…

Machine Learning · Statistics 2024-10-21 Juraj Bodik , Olivier C. Pasche

Compound flooding, where the combination or successive occurrence of two or more flood drivers leads to an extreme impact, can greatly exacerbate the adverse consequences associated with flooding in coastal regions. This paper reviews the…

In univariate data, there exist standard procedures for identifying dominating features that produce the largest observations. However, in the multivariate setting, the situation is quite different. This paper aims to provide tools and…

Statistics Theory · Mathematics 2023-08-29 Miriam Hägele , Jaakko Lehtomaa

Joint multivariate longitudinal and time-to-event data are gaining increasing attention in the biomedical sciences where subjects are followed over time to monitor the progress of a disease or medical condition. In the insurance context,…

Methodology · Statistics 2019-02-12 Edward W. Frees , Catalina Bolancé , Montserrat Guillen , Emiliano Valdez

We develop a method for the evaluation of extreme event statistics associated with nonlinear dynamical systems, using a small number of samples. From an initial dataset of design points, we formulate a sequential strategy that provides the…

Machine Learning · Computer Science 2022-06-08 Mustafa A. Mohamad , Themistoklis P. Sapsis

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…

We propose an extreme dimension reduction method extending the Extreme-PLS approach to the case where the covariate lies in a possibly infinite-dimensional Hilbert space. The ideas are partly borrowed from both Partial Least-Squares and…

Statistics Theory · Mathematics 2026-01-01 Stéphane Girard , Cambyse Pakzad

Design optimization is crucial as offshore structures are exposed to deeper and harsher marine conditions. The structure behaviour is dependent on several joint environmental parameters (wind, wave, currents, etc.). Environmental contours…

Applications · Statistics 2019-08-07 Nicolas Raillard , Marc Prevosto , Hélène Pineau

Estimation of extreme value copulas is often required in situations where available data are sparse. Parametric methods may then be the preferred approach. A possible way of defining parametric families that are simple and, at the same…

Methodology · Statistics 2013-01-29 Jan Beran , Georg Mainik

The estimation of extreme flood quantiles is challenging due to the relative scarcity of extreme data compared to typical target return periods. Several approaches have been developed over the years to face this challenge, including…

Applications · Statistics 2016-02-17 Anne Sabourin , Benjamin Renard