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Climate models have become an important tool in the study of climate and climate change, and ensemble experiments consisting of multiple climate-model runs are used in studying and quantifying the uncertainty in climate-model output.…

Applications · Statistics 2011-04-15 Stephan R. Sain , Reinhard Furrer , Noel Cressie

This paper describes a family of seasonal and non-seasonal time series models that can be viewed as generalisations of additive and multiplicative exponential smoothing models, to model series that grow faster than linear but slower than…

Machine Learning · Computer Science 2024-03-25 Slawek Smyl , Christoph Bergmeir , Alexander Dokumentov , Xueying Long , Erwin Wibowo , Daniel Schmidt

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…

Applications · Statistics 2026-04-30 Kamal Gasser , Johan Segers , Francesco Ragone

Compositional observations are an increasingly prevalent data source in spatial statistics. Analysis of such data is typically done on log-ratio transformations or via Dirichlet regression. However, these approaches often make unnecessarily…

Methodology · Statistics 2025-05-27 Michael R. Schwob , Mevin B. Hooten , Nicholas M. Calzada , Timothy H. Keitt

Influenced mixed moving average fields are a versatile modeling class for spatio-temporal data. However, their predictive distribution is not generally known. Under this modeling assumption, we define a novel spatio-temporal embedding and a…

Machine Learning · Statistics 2024-08-05 Imma Valentina Curato , Orkun Furat , Lorenzo Proietti , Bennet Stroeh

Complex systems span multiple spatial and temporal scales, making their dynamics challenging to understand and predict. This challenge is especially daunting when one wants to study localized and/or rare events. Advances in dynamical…

Atmospheric and Oceanic Physics · Physics 2025-09-22 Chenyu Dong , Gabriele Messori , Davide Faranda , Adriano Gualandi , Valerio Lucarini , Gianmarco Mengaldo

Spatiotemporal graph represents a crucial data structure where the nodes and edges are embedded in a geometric space and can evolve dynamically over time. Nowadays, spatiotemporal graph data is becoming increasingly popular and important,…

Machine Learning · Computer Science 2022-03-02 Yuanqi Du , Xiaojie Guo , Hengning Cao , Yanfang Ye , Liang Zhao

A functional time series approach is proposed for investigating spatial correlation in daily maximum temperature forecast errors for 111 cities spread across the U.S. The modelling of spatial correlation is most fruitful for longer forecast…

Methodology · Statistics 2021-11-23 Phillip A. Jang , David S. Matteson

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…

Atmospheric and Oceanic Physics · Physics 2022-07-28 Justus Contzen , Thorsten Dickhaus , Gerrit Lohmann

Period estimation is one of the central topics in astronomical time series analysis, where data is often unevenly sampled. Especially challenging are studies of stellar magnetic cycles, as there the periods looked for are of the order of…

Solar and Stellar Astrophysics · Physics 2018-07-25 N. Olspert , J. Pelt , M. J. Käpylä , J. Lehtinen

Many important phenomena in scientific fields like climate, neuroscience, and epidemiology are naturally represented as spatiotemporal gridded data with complex interactions. Inferring causal relationships from these data is a challenging…

Machine Learning · Computer Science 2025-06-17 Kun Wang , Sumanth Varambally , Duncan Watson-Parris , Yi-An Ma , Rose Yu

Spatial functional data arise in many settings, such as particulate matter curves observed at monitoring stations and age population curves at each areal unit. Most existing functional regression models have limited applicability because…

Methodology · Statistics 2025-04-25 Heesang Lee , Dagun Oh , Sunhwa Choi , Jaewoo Park

Temporal sequences of satellite images constitute a highly valuable and abundant resource for analyzing regions of interest. However, the automatic acquisition of knowledge on a large scale is a challenging task due to different factors…

Computer Vision and Pattern Recognition · Computer Science 2024-02-15 Carlos Echegoyen , Aritz Pérez , Guzmán Santafé , Unai Pérez-Goya , María Dolores Ugarte

This paper develops inference methods for ratios of deterministic trend slopes in systems of pairs of time series. Hypotheses based on linear cross-equation restrictions are considered with particular interest in tests that trend ratios are…

Econometrics · Economics 2026-03-02 Timothy J. Vogelsang

Spatially misaligned data can be fused by using a Bayesian melding model that assumes that underlying all observations there is a spatially continuous Gaussian random field process. This model can be used, for example, to predict air…

Methodology · Statistics 2024-06-06 Ruiman Zhong , André Victor Ribeiro Amaral , Paula Moraga

Joint modeling of spatially-oriented dependent variables is commonplace in the environmental sciences, where scientists seek to estimate the relationships among a set of environmental outcomes accounting for dependence among these outcomes…

Methodology · Statistics 2021-03-22 Lu Zhang , Sudipto Banerjee , Andrew O. Finley

We develop Bayesian nonparametric models for spatially indexed data of mixed type. Our work is motivated by challenges that occur in environmental epidemiology, where the usual presence of several confounding variables that exhibit complex…

Methodology · Statistics 2014-10-17 Georgios Papageorgiou , Sylvia Richardson , Nicky Best

Data fusion models are widely used in air quality monitoring to integrate in situ and large-scale gridded products, offering spatially complete and temporally detailed estimates. However, traditional Gaussian-based models often…

Applications · Statistics 2026-05-18 M. Daniela Cuba , Craig Wilkie , Marian Scott , Daniela Castro-Camilo

A new approach for evaluating time-trends in extreme values accounting also for spatial dependence is proposed. Based on exceedances over a space-time threshold, estimators for a trend function and for extreme value parameters are given,…

Methodology · Statistics 2017-07-17 Ana Ferreira , Petra Friederichs , Laurens de Haan , Cláudia Neves , Martin Schlather

We investigate spatial confounding in the presence of multivariate disease dependence. In the "analysis model perspective" of spatial confounding, adding a spatially dependent random effect can lead to significant variance inflation of the…

Methodology · Statistics 2026-02-13 Kyle Lin Wu , Sudipto Banerjee
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