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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…

应用统计 · 统计学 2025-05-29 Jonathan Koh , Daniel Steinfeld , Olivia Martius

Max-stable processes are increasingly widely used for modelling complex extreme events, but existing fitting methods are computationally demanding, limiting applications to a few dozen variables. $r$-Pareto processes are mathematically…

统计方法学 · 统计学 2017-06-14 Raphaël de Fondeville , Anthony C. Davison

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…

应用统计 · 统计学 2022-02-16 Evandro Konzen , Claudia Neves , Philip Jonathan

Modeling a precipitation field is challenging due to its intermittent and highly scale-dependent nature. Motivated by the features of high-frequency precipitation data from a network of rain gauges, we propose a threshold space-time $t$…

应用统计 · 统计学 2016-02-10 Ying Sun , Michael L. Stein

Entropy is a measure of heterogeneity widely used in applied sciences, often when data are collected over space. Recently, a number of approaches has been proposed to include spatial information in entropy. The aim of entropy is to…

统计理论 · 数学 2019-11-12 Linda Altieri , Daniela Cocchi , Giulia Roli

A nonanticipative analog method is used for the long-term forecast of air temperature extremes. The data to be used for prediction include average daily air temperature, mean visibility, mean wind speed, mean dew point, maximum and minimum…

应用统计 · 统计学 2015-07-14 Dmytro Zubov , Humberto A. Barbosa , Gregory S. Duane

Measuring dependence between random variables is a fundamental problem in Statistics, with applications across diverse fields. While classical measures such as Pearson's correlation have been widely used for over a century, they have…

统计理论 · 数学 2025-10-08 Marta Catalano , Hugo Lavenant

The paper demonstrates the application of statistical based methodology for the analysis of the vertical deviation angle. The studied data set contains astro-geodetic observations. The Principal Component Analysis and the Multiple Linear…

Modeling the joint distribution of extreme weather events in multiple locations is a challenging task with important applications. In this study, we use max-stable models to study extreme daily precipitation events in Switzerland. The…

统计方法学 · 统计学 2018-11-29 Clément Chevalier , David Ginsbourger , Olivia Martius

Long-range dependence and non-Gaussianity are ubiquitous in many natural systems like ecosystems, biological systems and climate. However, it is not always appreciated that both phenomena may occur together in natural systems and that…

数据分析、统计与概率 · 物理学 2015-03-18 Christian L. E. Franzke , Timothy Graves , Nicholas W. Watkins , Robert B. Gramacy , Cecilia Hughes

Extreme precipitation events with large spatial extents may have more severe impacts than localized events as they can lead to widespread flooding. It is debated how climate change may affect the spatial extent of precipitation extremes,…

统计方法学 · 统计学 2022-12-07 Peng Zhong , Manuela Brunner , Thomas Opitz , Raphaël Huser

As contemporary software-intensive systems reach increasingly large scale, it is imperative that failure detection schemes be developed to help prevent costly system downtimes. A promising direction towards the construction of such schemes…

应用统计 · 统计学 2016-09-27 Alexey Artemov , Evgeny Burnaev

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

In this paper we concentrate on an alternative modeling strategy for positive data that exhibit spatial or spatio-temporal dependence. Specifically we propose to consider stochastic processes obtained trough a monotone transformation of…

统计方法学 · 统计学 2020-04-08 M. Bevilacqua , C. Caamaño , C. Gaetan

Daily rainfall extremes and annual totals have increased in large parts of the global land area over the last decades. These observations are consistent with theoretical considerations of a warming climate. However, until recently these…

Extremal graphical models are sparse statistical models for multivariate extreme events. The underlying graph encodes conditional independencies and enables a visual interpretation of the complex extremal dependence structure. For the…

统计方法学 · 统计学 2022-08-18 Sebastian Engelke , Stanislav Volgushev

This paper considers the regional estimation of high quantiles of annual maximal river flow distributions $F$, an important problem from flood frequency analysis. Even though this particular problem has been addressed by many papers, less…

统计方法学 · 统计学 2017-01-26 Paul Kinsvater , Friederike Deiters , Roland Fried

Modelling dependencies between climate extremes is important for climate risk assessment, for instance when allocating emergency management funds. In statistics, multivariate extreme value theory is often used to model spatial extremes.…

We assess empirical models in climate econometrics using modern statistical learning techniques. Existing approaches are prone to outliers, ignore sample dependencies, and lack principled model selection. To address these issues, we…

应用统计 · 统计学 2025-05-26 Christof Schötz , Jan Hassel , Christian Otto

An extremal model for the plasticity of amorphous materials is studied in a simple two-dimensional anti-plane geometry. The steady-state is analyzed through numerical simulations. Long-range spatial and temporal correlations in local slip…

无序系统与神经网络 · 物理学 2009-11-07 Jean-Christophe Baret , Damien Vandembroucq , Stephane Roux