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Climate models are essential for assessing the impact of greenhouse gas emissions on our changing climate and the resulting increase in the frequency and severity of natural disasters. Despite the widespread acceptance of climate models…

大气与海洋物理 · 物理学 2023-11-08 Vsevolod Morozov , Artem Galliamov , Aleksandr Lukashevich , Antonina Kurdukova , Yury Maximov

The state of the art for physical hazard prediction from weather and climate requires expensive km-scale numerical simulations driven by coarser resolution global inputs. Here, a generative diffusion architecture is explored for downscaling…

Statistical modeling of monthly, seasonal, or annual rainfall data is an important research area in meteorology. These models play a crucial role in rainfed agriculture, where a proper assessment of the future availability of rainwater is…

应用统计 · 统计学 2024-03-05 Arnab Hazra , Abhik Ghosh

This article summarises the methods used by the team ``Ca' Foscari" for the EVA 2025 Data Challenge. The questions of the challenge concern the estimation of exceedance probabilities across several locations. Rather than modelling the…

Simultaneous concurrence of extreme values across multiple climate variables can result in large societal and environmental impacts. Therefore, there is growing interest in understanding these concurrent extremes. In many applications, not…

应用统计 · 统计学 2021-03-16 Whitney K. Huang , Adam H. Monahan , Francis W. Zwiers

Recent developments in extreme value statistics have established the so-called geometric approach as a powerful modelling tool for multivariate extremes. We tailor these methods to the case of spatial modelling and examine their efficacy at…

统计方法学 · 统计学 2026-02-20 Lydia Kakampakou , Jennifer L. Wadsworth

The standard (non-relativistic) $\kappa$-distribution is widely used to fit data and to describe macroscopic thermodynamical behavior, e.g.\ the pressure (temperature) as the second moment of the distribution function. By contrast to a…

等离子体物理 · 物理学 2019-09-04 Klaus Scherer , Horst Fichtner , Hans-Jörg Fahr , Marian Lazar

A successful model for high-dimensional spatial extremes should, in principle, be able to describe both weakening extremal dependence at increasing levels and changes in the type of extremal dependence class as a function of the distance…

统计方法学 · 统计学 2022-12-14 Silius M. Vandeskog , Sara Martino , Raphaël Huser

We use the fitted Pareto law to construct an accompanying approximation of the excess distribution function. A selection rule of the location of the excess distribution function is proposed based on a stagewise lack-of-fit testing…

统计理论 · 数学 2008-08-08 Ion Grama , Vladimir Spokoiny

The KnnCAD Version 4 weather generator algorithm for nonparametric, multisite simulations of temperature and precipitation data is presented. The K-nearest neighbour weather generator essentially reshuffles the historical data, with…

大气与海洋物理 · 物理学 2016-11-23 Leanna M. King , Ian McLeod , Slobodan P. Simonovic

Modeling extreme precipitation and temperature is vital for understanding the impacts of climate change, as hazards like intense rainfall and record-breaking temperatures can result in severe consequences, including floods, droughts, and…

统计方法学 · 统计学 2026-01-13 Remy MacDonald , Benjamin Seiyon Lee , John Foley , Justin Lee

In this work, we propose a simulation-based estimation approach using generative neural networks to determine dependencies of precipitation maxima and their underlying uncertainty in time and space. Within the common framework of max-stable…

机器学习 · 统计学 2026-05-01 Christopher Bülte , Lisa Leimenstoll , Melanie Schienle

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…

统计方法学 · 统计学 2012-03-13 B. D. Youngman

Extreme economic outcomes are not shaped by tails alone. They are also shaped by unequal access to opportunities. This paper develops a theory of heterogeneous extremes by taking the distribution of opportunity access as the object of…

理论经济学 · 经济学 2026-03-24 I. Sebastian Buhai

Modelling of precipitation, including extremes, is important for hydrological and agricultural applications. Traditionally, because of large sample properties for data over a large threshold value, generalised Pareto (GP) distributions are…

应用统计 · 统计学 2014-11-11 Yang Liu , Philip Kokic , K. Shuvo Bakar

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…

统计方法学 · 统计学 2018-02-06 Soyoung Jeon , Christopher J. Paciorek , Michael F. Wehner

Several analytical forms of cloud particle size distributions (PSDs) have been used in numerical modeling and remote sensing retrieval studies of clouds and precipitation, including exponential, gamma, lognormal, and Weibull distributions.…

大气与海洋物理 · 物理学 2018-01-11 Wei Wu , Greg M McFarquhar

The kappa-deformed statistics has been studied in many papers. It is naturally important question for us to ask what should the kappa parameter stand for and under what physical situation should the kappa-deformed statistics be suitable for…

统计力学 · 物理学 2015-08-10 Lina Guo , Jiulin Du

From environmental sciences to finance, there is a growing demand for methods that can assess the risks of extreme events beyond those observed in available data. Extrapolating extreme events beyond the range of the data is not obvious.…

统计方法学 · 统计学 2026-04-07 Boris Beranger , Simone A. Padoan

The possibilities of the use of the coefficient of variation over a high threshold in tail modelling are discussed. The paper also considers multiple threshold tests for a generalized Pareto distribution, together with a threshold selection…

统计理论 · 数学 2015-10-02 J. Castillo , M. Padilla