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Max-stable processes are a common choice for modelling spatial extreme data as they arise naturally as the infinite-dimensional generalisation of multivariate extreme value theory. Statistical inference for such models is complicated by the…

Precipitation is one of the most important meteorological variables for defining the climate dynamics, but the spatial patterns of precipitation have not been fully investigated yet. The complex network theory, which provides a robust tool…

Atmospheric and Oceanic Physics · Physics 2013-08-22 Stefania Scarsoglio , Francesco Laio , Luca Ridolfi

Extreme environmental events such as severe storms, drought, heat waves, flash floods, and abrupt species collapse have become more prevalent in the earth-atmosphere dynamic system in recent years. In order to fully understand the…

Methodology · Statistics 2025-08-05 Myungsoo Yoo , Likun Zhang , Christopher K. Wikle , Thomas Opitz

A new approach for evaluating time-trends in extreme values accounting also for spatial dependence is proposed. Based on exceedances over a space-time threshold, estimators for a trend function and for extreme value parameters are given,…

Methodology · Statistics 2017-07-17 Ana Ferreira , Petra Friederichs , Laurens de Haan , Cláudia Neves , Martin Schlather

Models for extreme values accommodating non-stationarity have been amply studied and evaluated from a parametric perspective. Whilst these models are flexible, in the sense that many parametrizations can be explored, they assume an…

Applications · Statistics 2022-02-16 Evandro Konzen , Claudia Neves , Philip Jonathan

In climate science and meteorology, high-resolution local precipitation (rain and snowfall) predictions are limited by the computational costs of simulation-based methods. Statistical downscaling, or super-resolution, is a common workaround…

Computer Vision and Pattern Recognition · Computer Science 2024-06-21 Prakhar Srivastava , Ruihan Yang , Gavin Kerrigan , Gideon Dresdner , Jeremy McGibbon , Christopher Bretherton , Stephan Mandt

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

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

This paper introduces a method for spatial interpolation of extreme values, and in particular targets the case in which conventional data, resulting from a measurement for example, are available at only a few locations. To overcome this the…

Methodology · Statistics 2012-03-13 B. D. Youngman

To facilitate effective decision-making, precipitation datasets should include uncertainty estimates. Quantile regression with machine learning has been proposed for issuing such estimates. Distributional regression offers distinct…

Machine Learning · Computer Science 2025-01-07 Georgia Papacharalampous , Hristos Tyralis , Nikolaos Doulamis , Anastasios Doulamis

We propose a framework for studying predictability of extreme events in complex systems. Major conceptual elements -- direct cascading or fragmentation, spatial dynamics, and external driving -- are combined in a classical age-dependent…

Adaptation and Self-Organizing Systems · Physics 2007-08-14 Andrei Gabrielov , Vladimir Keilis-Borok , Ilya Zaliapin

A variety of methods have been proposed for inference about extreme dependence for multivariate or spatially-indexed stochastic processes and time series. Most of these proceed by first transforming data to some specific extreme value…

Statistics Theory · Mathematics 2018-05-22 James E. Johndrow , Robert L. Wolpert

With the increasing frequency of natural disasters, operators must prioritize improvements in the existing electric power grid infrastructure to enhance the resilience of the grid. Resilience to extreme weather events necessitates lowering…

Systems and Control · Electrical Eng. & Systems 2023-11-28 Abodh Poudyal , Shishir Lamichhane , Anamika Dubey , Josue Campos do Prado

Improving the representation of precipitation in Earth system models (ESMs) is critical for assessing the impacts of climate change and especially of extreme events like floods and droughts. In existing ESMs, precipitation is not resolved…

Machine Learning · Computer Science 2026-05-27 Michael Aich , Sebastian Bathiany , Philipp Hess , Yu Huang , Niklas Boers

We present, motivate, and evaluate Radar Maxima, a calibrated area-based probabilistic forecast product for heavy precipitation. It is designed to overcome inherent limitations of point-based forecasts, which often yield low probabilities…

Atmospheric and Oceanic Physics · Physics 2025-09-18 Reinhold Hess

Preventive control is a crucial strategy for power system operation against impending natural hazards, and its effectiveness fundamentally relies on the realism of scenario generation. While most existing studies employ sequential Monte…

Systems and Control · Electrical Eng. & Systems 2025-11-21 Ziyue Li , Guanglun Zhang , Grant Ruan , Haiwang Zhong , Chongqing Kang

Understanding the behaviour of environmental extreme events is crucial for evaluating economic losses, assessing risks, health care and many other aspects. In the spatial context, relevant for environmental events, the dependence structure…

Methodology · Statistics 2021-03-22 Manaf Ahmed , Véronique Maume-Deschamps , Pierre Ribereau

Extreme value statistics provides accurate estimates for the small occurrence probabilities of rare events. While theory and statistical tools for univariate extremes are well-developed, methods for high-dimensional and complex data sets…

Methodology · Statistics 2021-01-06 Sebastian Engelke , Jevgenijs Ivanovs

The aim of this paper is to provide models for spatial extremes in the case of stationarity. The spatial dependence at extreme levels of a stationary process is modeled using an extension of the theory of max-stable processes of de Haan and…

Statistics Theory · Mathematics 2007-06-13 Laurens de Haan , Teresa T. Pereira

We proposed a semi-parametric estimation procedure in order to estimate the parameters of a max-mixture model and also of a max-stable model (inverse max-stable model) as an alternative to composite likelihood. A good estimation by the…

Statistics Theory · Mathematics 2017-12-06 M. Ahmed , V Maume-Deschamps , P. Ribereau , C. Vial
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