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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

Understanding multivariate extreme events play a crucial role in managing the risks of complex systems since extremes are governed by their own mechanisms. Conditional on a given variable exceeding a high threshold (e.g.\ traffic…

Methodology · Statistics 2021-06-28 Valentin Courgeau , Almut E. D. Veraart

Generating accurate extremes from an observational data set is crucial when seeking to estimate risks associated with the occurrence of future extremes which could be larger than those already observed. Applications range from the…

Machine Learning · Statistics 2026-02-02 Nicolas Lafon , Philippe Naveau , Ronan Fablet

Extreme weather poses a large risk to critical energy systems (Ekisheva, Rieder, Norris, Lauby, & Dobson 2021; Levin, Botterud, Mann, Kwon, & Zhou 2022). Uncertainty quantification of negative impacts is important for developing resilience,…

Methodology · Statistics 2026-03-11 Mitchell L. Krock , W. Neal Mann , Zhi Zhou

The Gumbel model is a very popular statistical model due to its wide applicability for instance in the course of certain survival, environmental, financial or reliability studies. In this work, we have introduced a bimodal generalization of…

Methodology · Statistics 2021-06-22 Cira E. G. Otiniano , Roberto Vila , Pedro C. Brom , Marcelo Bourguignon

Extreme events arising in georeferenced processes can take various forms, such as occurring in isolated patches or stretching contiguously over large areas, and can further vary with the spatial location and the extremeness of the events.…

Statistics Theory · Mathematics 2025-01-15 Ryan Cotsakis , Elena Di Bernardino , Thomas Opitz

The generalized extreme value (GEV) distribution is commonly employed to help estimate the likelihood of extreme events in many geophysical and other application areas. The recently proposed blended generalized extreme value (bGEV)…

Applications · Statistics 2024-10-10 Nir Y. Krakauer

The understanding and prediction of large wildland fire events around the world is a growing interdisciplinary research area advanced rapidly by development and use of computational models. Recent models bidirectionally couple computational…

Atmospheric and Oceanic Physics · Physics 2020-07-06 J. L. Coen , W. Schroeder , S. Conway , L. Tarnay

This paper introduces a novel measure to quantify the directional dependence of extreme events between two variables. The proposed approach is designed to capture asymmetric tail dependence by studying conditional tail expectations of…

Methodology · Statistics 2026-04-06 Matthieu Garcin , Maxime L. D. Nicolas

We consider a problem of ecological inference, in which individual-level covariates are known, but labeled data is available only at the aggregate level. The intended application is modeling voter preferences in elections. In Rosenman and…

Machine Learning · Statistics 2019-07-23 Evan Rosenman

Random forests is a state-of-the-art supervised machine learning method which behaves well in high-dimensional settings although some limitations may happen when $p$, the number of predictors, is much larger than the number of observations…

Methodology · Statistics 2019-02-01 Louis Capitaine , Robin Genuer , Rodolphe Thiébaut

Throughout the last decade, random forests have established themselves as among the most accurate and popular supervised learning methods. While their black-box nature has made their mathematical analysis difficult, recent work has…

Methodology · Statistics 2019-12-10 Tim Coleman , Wei Peng , Lucas Mentch

The modeling of spatio-temporal trends in temperature extremes can help better understand the structure and frequency of heatwaves in a changing climate. Here, we study annual temperature maxima over Southern Europe using a century-spanning…

Methodology · Statistics 2020-09-08 Peng Zhong , Raphaël Huser , Thomas Opitz

Profile likelihood intervals of large quantiles in Extreme Value distributions provide a good way to estimate these parameters of interest since they take into account the asymmetry of the likelihood surface in the case of small and…

Applications · Statistics 2010-05-21 A. Bolívar , E. Díaz-Francés , J. Ortega , E. Vilchis

The probabilistic design of offshore wind turbines aims to ensure structural safety in a cost-effective way. This involves conducting structural reliability assessments for different design options and considering different structural…

Applications · Statistics 2024-08-06 Hong Wang , Odin Gramstad , Styfen Schär , Stefano Marelli , Erik Vanem

We compare the observed probability distribution function of the transmission in the \HI\ Lyman-alpha forest, measured from the UVES 'Large Programme' sample at redshifts z=[2,2.5,3], to results from the GIMIC cosmological simulations. Our…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Emmanuel Rollinde , Tom Theuns , Joop Schaye , Isabelle Pâris , Patrick Petitjean

The ability to compare between individuals or organisations fairly is important for the development of robust and meaningful quantitative benchmarks. To make fair comparisons, contextual factors must be taken into account, and comparisons…

Applications · Statistics 2020-11-18 Daniel W. Kennedy , Jessica Cameron , Paul P. -Y. Wu , Kerrie Mengersen

The increasing occurrence of extreme weather events since the beginning of the 21st century has led to the development of new methods to attribute extreme events to anthropogenic climate change. The way in which the extreme event is defined…

Atmospheric and Oceanic Physics · Physics 2026-05-25 Pascal Meurer , Sebastian Buschow , Svenja Szemkus , Petra Friederichs

Climate models play a crucial role in understanding the effect of environmental and man-made changes on climate to help mitigate climate risks and inform governmental decisions. Large global climate models such as the Community Earth System…

Applications · Statistics 2020-12-02 Niccolò Dalmasso , Galen Vincent , Dorit Hammerling , Ann B. Lee

Extreme value analysis (EVA) uses data to estimate long-term extreme environmental conditions for variables such as significant wave height and period, for the design of marine structures. Together with models for the short-term evolution…

Methodology · Statistics 2024-07-30 Matthew Speers , David Randell , Jonathan Angus Tawn , Philip Jonathan