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We propose a computationally efficient statistical method to obtain distributional properties of annual maximum 24 hour precipitation on a 1 km by 1 km regular grid over Iceland. A latent Gaussian model is built which takes into account…

统计方法学 · 统计学 2015-06-23 Óli Páll Geirsson , Birgir Hrafnkelsson , Daniel Simpson

Spatial models are used in a variety research areas, such as environmental sciences, epidemiology, or physics. A common phenomenon in many spatial regression models is spatial confounding. This phenomenon takes place when spatially indexed…

统计方法学 · 统计学 2021-06-08 Isa Marques , Thomas Kneib , Nadja Klein

This paper addresses the inference of spatial dependence in the context of a recently proposed framework. More specifically, the paper focuses on the estimation of model parameters for a class of generalized Gibbs random fields, i.e.,…

统计理论 · 数学 2007-06-13 Samuel Elogne , Dionisis Hristopulos

In this paper we propose a new approach for constructing \emph{multivariate} Gaussian random fields (GRFs) with oscillating covariance functions through systems of stochastic partial differential equations (SPDEs). We discuss how to build…

统计方法学 · 统计学 2013-07-05 Xiangping Hu , Finn Lindgren , Daniel Simpson , Håvard Rue

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

In this study, we introduce a novel and comprehensive extension of a Bayesian spatio-temporal disease mapping model that explicitly accounts for gender-specific effects of meteorological exposures. Leveraging fine-scale weekly mortality and…

应用统计 · 统计学 2025-07-18 Corinna Perchtold , Julia Eisenberg , Philipp Otto

We develop a unified statistical framework for attributing heatwaves as spatio-temporal phenomena under climate change. We quantify the impact of anthropogenic forcing on the probability and persistence of heatwaves not captured by standard…

应用统计 · 统计学 2026-04-30 Kamal Gasser , Johan Segers , Francesco Ragone

Modelling of precipitation and its extremes is important for urban and agriculture planning purposes. We present a method for producing spatial predictions and measures of uncertainty for spatio-temporal data that is heavy-tailed and…

应用统计 · 统计学 2014-11-19 Yang Liu , Philip Kokic

Metric graphs are useful tools for describing spatial domains like road and river networks, where spatial dependence act along the network. We take advantage of recent developments for such Gaussian Random Fields (GRFs), and consider joint…

统计方法学 · 统计学 2025-12-01 Karina Lilleborge , Sara Martino , Geir-Arne Fuglstad , Finn Lindgren , Rikke Ingebrigtsen

Modelling the extremal dependence structure of spatial data is considerably easier if that structure is stationary. However, for data observed over large or complicated domains, non-stationarity will often prevail. Current methods for…

统计方法学 · 统计学 2021-03-04 Jordan Richards , Jennifer L. Wadsworth

Environmental phenomena are influenced by complex interactions among various factors. For instance, the amount of rainfall measured at different stations within a given area is shaped by atmospheric conditions, orography, and physics of…

应用统计 · 统计学 2025-01-16 Paolo Onorati , Antonio Canale

The present work is aimed to examine the potential of advanced machine learning strategies to predict the monthly rainfall (precipitation) for the Indus Basin, using climatological variables such as air temperature, geo-potential height,…

信号处理 · 电气工程与系统科学 2019-01-27 Hamidreza Ghasemi Damavandi , Reepal Shah

Multivariate spatial fields are of interest in many applications, including climate model emulation. Not only can the marginal spatial fields be subject to nonstationarity, but the dependence structure among the marginal fields and between…

统计方法学 · 统计学 2023-11-21 Paul F. V. Wiemann , Matthias Katzfuss

Generative modeling of spatio-temporal fields is crucial for a variety of applications, including stochastic weather generators and climate-model surrogates. However, many such fields exhibit complex dependence structures that vary across…

统计方法学 · 统计学 2026-05-06 Carrie J. Lei-Cramer , Jian Cao , Matthias Katzfuss

Accurately representing surface weather at the sub-kilometer scale is crucial for optimal decision-making in a wide range of applications. This motivates the use of statistical techniques to provide accurate and calibrated probabilistic…

大气与海洋物理 · 物理学 2024-11-15 Francesco Zanetta , Daniele Nerini , Matteo Buzzi , Henry Moss

Atmospheric models used for weather and climate prediction are traditionally formulated in a deterministic manner. In other words, given a particular state of the resolved scale variables, the most likely forcing from the sub-grid scale…

机器学习 · 计算机科学 2024-02-16 Hannah M. Christensen , Salah Kouhen , Greta Miller , Raghul Parthipan

Gaussian random fields (GRFs) constitute an important part of spatial modelling, but can be computationally infeasible for general covariance structures. An efficient approach is to specify GRFs via stochastic partial differential equations…

统计方法学 · 统计学 2016-08-11 Geir-Arne Fuglstad , Finn Lindgren , Daniel Simpson , Håvard Rue

We construct flexible spatio-temporal models through stochastic partial differential equations (SPDEs) where both diffusion and advection can be spatially varying. Computations are done through a Gaussian Markov random field approximation…

统计方法学 · 统计学 2024-10-29 Martin Outzen Berild , Geir-Arne Fuglstad

Gaussian fields (GFs) are frequently used in spatial statistics for their versatility. The associated computational cost can be a bottleneck, especially in realistic applications. It has been shown that computational efficiency can be…

统计计算 · 统计学 2015-03-13 Xiaoyu Liu , Serge Guillas , Ming-Jun Lai

Accurately modelling the Earth's climate has widespread applications ranging from forecasting local weather to understanding global climate change. Low-fidelity simulations of climate phenomena are readily available, but high-fidelity…

大气与海洋物理 · 物理学 2021-09-17 Ben Hudson , Frederik Nijweide , Isaac Sebenius