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Spatial nonstationarity, the location variance of features' statistical distributions, is ubiquitous in many natural settings. For example, in geological reservoirs rock matrix porosity varies vertically due to geomechanical compaction…

机器学习 · 计算机科学 2023-08-09 Lei Liu , Javier E. Santos , Maša Prodanović , Michael J. Pyrcz

Developments in dynamical systems theory provides new support for the macroscale modelling of pdes and other microscale systems such as Lattice Boltzmann, Monte Carlo or Molecular Dynamics simulators. By systematically resolving subgrid…

数值分析 · 数学 2012-01-18 A. J. Roberts , Tony MacKenzie , J. E. Bunder

There are many situations when modelling environmental phenomena for which it is not appropriate to assume a stationary dependence structure. \cite{sampson1992} proposed an approach to allowing nonstationarity in dependence based on a…

统计方法学 · 统计学 2020-01-22 Benjamin D. Youngman

In several application fields like daily pluviometry data modelling, or motion analysis from image sequences, observations contain two components of different nature. A first part is made with discrete values accounting for some symbolic…

统计理论 · 数学 2008-03-27 Cécile Hardouin , Jian-Feng Yao

Accurate modelling of the joint extremal dependence structure within a stationary time series is a challenging problem that is important in many applications.\ Several previous approaches to this problem are only applicable to certain types…

统计方法学 · 统计学 2023-03-09 Graeme Auld , Ioannis Papastathopoulos

Max-stable processes have been expanded to quantify extremal dependence in spatio-temporal data. Due to the interaction between space and time, spatio-temporal data are often complex to analyze. So, characterizing these dependencies is one…

统计方法学 · 统计学 2019-05-21 Abdul-Fattah Abu-Awwad , Véronique Maume-Deschamps , Pierre Ribereau

Multivariate spatio-temporal data arise more and more frequently in a wide range of applications; however, there are relatively few general statistical methods that can readily use that incorporate spatial, temporal and variable…

统计方法学 · 统计学 2017-11-15 Elynn Yi Chen , Qiwei Yao , Rong Chen

Heavy rainfall distributional modeling is essential in any impact studies linked to the water cycle, e.g.\ flood risks. Still, statistical analyses that both take into account the temporal and multivariate nature of extreme rainfall are…

统计方法学 · 统计学 2022-05-13 Gloria Buriticá , Philippe Naveau

Max-stable random fields play a central role in modeling extreme value phenomena. We obtain an explicit formula for the conditional probability in general max-linear models, which include a large class of max-stable random fields. As a…

统计计算 · 统计学 2010-11-29 Yizao Wang , Stilian A. Stoev

This paper jointly addresses the challenges of non-stationarity and high dimensionality in analysing multivariate time series. Building on the classical concept of cointegration, we introduce a more flexible notion, called stability space,…

Climate change exacerbates extreme weather events like heavy rainfall and flooding. As these events cause severe socioeconomic damage, accurate high-resolution simulation of precipitation is imperative. However, existing Earth System Models…

地球物理 · 物理学 2026-02-03 Michael Aich , Philipp Hess , Baoxiang Pan , Sebastian Bathiany , Yu Huang , Niklas Boers

Earth System Models (ESMs) are the state of the art for projecting the effects of climate change. However, longstanding uncertainties in their ability to simulate regional and local precipitation extremes and related processes inhibit…

应用统计 · 统计学 2017-07-20 Evan Kodra , Singdhansu Chatterjee , Stone Chen , Auroop R. Ganguly

The physical sciences are replete with dynamical systems that require the resolution of a wide range of length and time scales. This presents significant computational challenges since direct numerical simulation requires discretization at…

机器学习 · 计算机科学 2025-11-11 Andrew F. Ilersich , Prasanth B. Nair

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

Aiming to deliver improved precipitation simulations for hydrological impact assessment studies, we develop a methodology for modelling and simulating high-dimensional spatial precipitation extremes, focusing on both their marginal…

应用统计 · 统计学 2024-10-01 Silius M. Vandeskog , Raphaël Huser , Oddbjørn Bruland , Sara Martino

To study trends in extreme precipitation across US over the years 1951-2017, we consider 10 climate indexes that represent extreme precipitation, such as annual maximum of daily precipitation, annual maximum of consecutive 5-day average…

应用统计 · 统计学 2019-01-01 Arnab Hazra , Brian J. Reich , Ana-Maria Staicu

Wild animals are commonly fitted with trackers that record their position through time, and statistical models for tracking data broadly fall into two categories: models focused on small-scale movement decisions, and models for large-scale…

应用统计 · 统计学 2025-10-07 Théo Michelot , Ephraim M. Hanks

The last decades have seen an unprecedented increase in the availability of data sets that are inherently global and temporally evolving, from remotely sensed networks to climate model ensembles. This paper provides a view of statistical…

统计理论 · 数学 2017-06-29 Emilio Porcu , Alfredo Alegría , Reinhard Furrer

Modeling the risk of extreme weather events in a changing climate is essential for developing effective adaptation and mitigation strategies. Although the available low-resolution climate models capture different scenarios, accurate risk…

大气与海洋物理 · 物理学 2022-12-06 Anamitra Saha , Sai Ravela

Heat waves resulting from prolonged extreme temperatures pose a significant risk to human health globally. Given the limitations of observations of extreme temperature, climate models are often used to characterize extreme temperature…

统计方法学 · 统计学 2020-05-08 Mark Risser