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Modeling nonstationarity that often prevails in extremal dependence of spatial data can be challenging, and typically requires bespoke or complex spatial models that are difficult to estimate. Inference for stationary and isotropic models…

统计方法学 · 统计学 2026-04-21 Xuanjie Shao , Jordan Richards , Raphael Huser

Spatial maps of extreme precipitation are crucial in flood protection. With the aim of producing maps of precipitation return levels, we propose a novel approach to model a collection of spatially distributed time series where the…

统计方法学 · 统计学 2023-04-27 Federica Stolf , Antonio Canale

Technological developments and open data policies have made large, global environmental datasets accessible to everyone. For analysing such datasets, including spatiotemporal correlations using traditional models based on Gaussian processes…

统计计算 · 统计学 2020-07-01 Marius Appel , Edzer Pebesma

An important class of spatio-temporal models is constructed by leveraging the hierarchical structure of dynamical (or, state-space) models. This paper proposes a new statistical dynamical model for spatio-temporal processes motivated by…

统计方法学 · 统计学 2026-05-11 Yutong Zhang , Xiao Liu

Forest fires pose a natural threat with devastating social, environmental, and economic implications. The rapid and highly uncertain rate of spread of wildfires necessitates a trustworthy digital tool capable of providing real-time…

Fine particulate matter (PM$_{2.5}$) has become a great concern worldwide due to its adverse health effects. PM$_{2.5}$ concentrations typically exhibit complex spatio-temporal variations. Both the mean and the spatio-temporal dependence…

统计方法学 · 统计学 2022-02-25 Ghulam A. Qadir , Ying Sun

Cloud computing offers an opportunity to run compute-resource intensive climate models at scale by parallelising model runs such that datasets useful to the exoplanet community can be produced efficiently. To better understand the…

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

The statistical modeling of multivariate count data observed on a space-time lattice has generally focused on using a hierarchical modeling approach where space-time correlation structure is placed on a continuous, latent, process. The…

应用统计 · 统计学 2021-02-16 Nicholas J Clark , Philip M. Dixon

Modelling spatio-temporal processes has become an important issue in current research. Since Gaussian processes are essentially determined by their second order structure, broad classes of covariance functions are of interest. Here, a new…

统计理论 · 数学 2011-02-28 Martin Schlather

Increasingly larger data sets of processes in space and time ask for statistical models and methods that can cope with such data. We show that the solution of a stochastic advection-diffusion partial differential equation provides a…

统计方法学 · 统计学 2016-02-18 Fabio Sigrist , Hans R. Künsch , Werner A. Stahel

In modeling spatial processes, a second-order stationarity assumption is often made. However, for spatial data observed on a vast domain, the covariance function often varies over space, leading to a heterogeneous spatial dependence…

统计方法学 · 统计学 2021-02-09 Ghulam A. Qadir , Ying Sun , Sebastian Kurtek

We present a framework for inference for spatial processes that have actual values imperfectly represented by data. Environmental processes represented as spatial fields, either at fixed time points, or aggregated over fixed time periods,…

统计方法学 · 统计学 2016-09-27 Benjamin D. Youngman , David B. Stephenson

Multivariate geostatistics is based on modelling all covariances between all possible combinations of two or more variables at any sets of locations in a continuously indexed domain. Multivariate spatial covariance models need to be built…

统计方法学 · 统计学 2016-10-10 Noel Cressie , Andrew Zammit-Mangion

Quantifying the impacts of anthropogenic global warming requires accurate Earth system model (ESM) simulations. Statistical bias correction and downscaling can be applied to reduce errors and increase the resolution of ESMs. However,…

地球物理 · 物理学 2024-06-24 Philipp Hess , Niklas Boers

We present a new approach to modeling the future development of extreme temperatures globally and on a long time-scale by using non-stationary generalized extreme value distributions in combination with logistic functions. This approach is…

大气与海洋物理 · 物理学 2022-07-28 Justus Contzen , Thorsten Dickhaus , Gerrit Lohmann

Despite the importance of quantifying how the spatial patterns of extreme precipitation will change with warming, we lack tools to objectively analyze the storm-scale outputs of modern climate models. To address this gap, we develop an…

大气与海洋物理 · 物理学 2023-12-04 Griffin Mooers , Tom Beucler , Mike Pritchard , Stephan Mandt

In 2023, Sicily faced an escalating issue of uncontrolled fires, necessitating a thorough investigation into their spatio-temporal dynamics. Our study addresses this concern through point process theory. Each wildfire is treated as a unique…

应用统计 · 统计学 2024-02-19 Nicoletta D'Angelo , Alessandro Albano , Andrea Gilardi , Giada Adelfio

This topic review communicates working experiences regarding interaction of a multiplicity of processes. Our experiences come from climate change modelling, materials science, cell physiology and public health, and macroeconomic modelling.…

综合经济学 · 经济学 2020-02-07 Bernhelm Booss-Bavnbek , Rasmus Kristoffer Pedersen , Ulf Rørbæk Pedersen

In many environmental applications involving spatially-referenced data, limitations on the number and locations of observations motivate the need for practical and efficient models for spatial interpolation, or kriging. A key component of…

统计方法学 · 统计学 2015-09-15 Mark D. Risser , Catherine A. Calder