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Predicting extreme events is important in many applications in risk analysis. The extreme-value theory suggests modelling extremes by max-stable distributions. The Bayesian approach provides a natural framework for statistical prediction.…

Statistics Theory · Mathematics 2020-09-22 Simone A. Padoan , Stefano Rizzelli

Max-stable processes are widely used to model spatial extremes. These processes exhibit asymptotic dependence meaning that the large values of the process can occur simultaneously over space. Recently, inverted max-stable processes have…

Probability · Mathematics 2015-01-20 Ioannis Papastathopoulos , Jonathan A. Tawn

Max-stable processes are a common choice for modelling spatial extreme data as they arise naturally as the infinite-dimensional generalisation of multivariate extreme value theory. Statistical inference for such models is complicated by the…

We present a multivariate hierarchical space-time model to describe the joint series of monthly extreme temperatures and amounts of rainfall. Data are available for 360 monitoring stations over 60 years, with missing data affecting almost…

This study develops a Bayesian hierarchical model to explore the effects of air pollution on respiratory and cardiovascular mortality in Los Angeles County. The model takes into account various pollutants such as PM2.5, PM10, CO, SO2, NO2…

Applications · Statistics 2025-01-29 Yanfei Qu , David A. Stephens

A Bayesian multivariate model with a structured covariance matrix for multi-way nested data is proposed. This flexible modeling framework allows for positive and for negative associations among clustered observations, and generalizes the…

Methodology · Statistics 2024-08-27 Stef Baas , Richard J. Boucherie , Jean-Paul Fox

With the proliferation of modern high-resolution measuring instruments mounted on satellites, planes, ground-based vehicles and monitoring stations, a need has arisen for statistical methods suitable for the analysis of large spatial…

Methodology · Statistics 2015-11-26 Matthias Katzfuss

Statistical models often require inputs that are not completely known. This can occur when inputs are measured with error, indirectly, or when they are predicted using another model. In environmental epidemiology, air pollution exposure is…

Methodology · Statistics 2025-12-23 Konstantin Larin , Daniel R. Kowal

Understanding the sources that contribute to fine particulate matter (PM$_{2.5}$) is of crucial importance for designing and implementing targeted air pollution mitigation strategies. Determining what factors contribute to a pollutant's…

Applications · Statistics 2025-11-03 Michela Frigeri , Veronica Berrocal , Alessandra Guglielmi

Humans are exposed to complex mixtures of environmental pollutants rather than single chemicals, necessitating methods to quantify the health effects of such mixtures. Research on environmental mixtures provides insights into realistic…

Methodology · Statistics 2026-04-09 Aaron Sonabend , Jiangshan Zhang , Edgar Castro , Joel Schwartz , Brent A. Coull , Junwei Lu

Air pollution is a major risk factor for global health, with both ambient and household air pollution contributing substantial components of the overall global disease burden. One of the key drivers of adverse health effects is fine…

Survival of living tumor cells underlies many influences such as nutrient saturation, oxygen level, drug concentrations or mechanical forces. Data-supported mathematical modeling can be a powerful tool to get a better understanding of cell…

Dynamical Systems · Mathematics 2022-03-24 Sabrina Schönfeld , Alican Ozkan , Laura Scarabosio , Marissa Nichole Rylander , Christina Kuttler

The tumor microenvironment (TME) is a spatially heterogeneous ecosystem where cellular interactions shape tumor progression and response to therapy. Multiplexed imaging technologies enable high-resolution spatial characterization of the…

Applications · Statistics 2025-04-04 Joel Eliason , Arvind Rao , Timothy L Frankel , Michele Peruzzi

In many practical applications, evaluating the joint impact of combinations of environmental variables is important for risk management and structural design analysis. When such variables are considered simultaneously, non-stationarity can…

Applications · Statistics 2024-04-23 C. J. R. Murphy-Barltrop , J. L. Wadsworth

Air pollution is a serious issue that currently affects many industrial cities in the world and can cause severe illness to the population. In particular, it has been proven that extreme high levels of airborne contaminants have dangerous…

Applications · Statistics 2019-11-12 Alexander Kreuzer , Luciana Dalla Valle , Claudia Czado

Since many environmental processes such as heat waves or precipitation are spatial in extent, it is likely that a single extreme event affects several locations and the areal modelling of extremes is therefore essential if the spatial…

Methodology · Statistics 2012-08-28 Clément Dombry , Frédéric Éyi-Minko , Mathieu Ribatet

High resolution geospatial data are challenging because standard geostatistical models based on Gaussian processes are known to not scale to large data sizes. While progress has been made towards methods that can be computed more…

Methodology · Statistics 2020-12-03 Michele Peruzzi , David B. Dunson

Air pollution is one of the most important causes of mortality in the world. Monitoring air pollution is useful to learn more about the link between health and pollutants, and to identify areas for intervention. Such monitoring is…

Machine Learning · Computer Science 2022-08-30 Sigrid Passano Hellan , Christopher G. Lucas , Nigel H. Goddard

We develop a novel multi-factor copula model for multivariate spatial extremes, which is designed to capture the different combinations of marginal and cross-extremal dependence structures within and across different spatial random fields.…

Methodology · Statistics 2022-06-24 Yan Gong , Raphaël Huser

Very unhealthy air quality is consistently connected with numerous diseases. Appropriate extreme analysis and accurate predictions are in rising demand for exploring potential linked causes and for providing suggestions for the…

Applications · Statistics 2023-08-25 Kai Wang , Chengxiu Ling , Ying Chen , Zhengjun Zhang