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Extreme value analysis is an essential methodology in the study of rare and extreme events, which hold significant interest in various fields, particularly in the context of environmental sciences. Models that employ the exceedances of…

Methodology · Statistics 2025-07-16 Lorenzo Dell'Oro , Carlo Gaetan

In this paper, we introduce a new class of models for spatial data obtained from max-convolution processes based on indicator kernels with random shape. We show that this class of models have appealing dependence properties including tail…

Methodology · Statistics 2023-10-17 Pavel Krupskii , Raphaël Huser

Compositional regression models with a real-valued response variable can generally be specified as log-contrast models subject to a zero-sum constraint on the model coefficients. This formulation emphasises the relative information conveyed…

Methodology · Statistics 2026-03-03 Germà Coenders , Javier Palarea-Albaladejo , Marc Saez , Maria A. Barceló

In this paper investigations by the same authors on environmental issues concerning the control of the pollution produced by human activities have been extended to include costs related to environmental interventions. The proposed model…

Numerical Analysis · Mathematics 2025-11-03 Sebastian Anita , Vincenzo Capasso , Simone Scacchi

We introduce a flexible and scalable class of Bayesian geostatistical models for discrete data, based on the class of nearest neighbor mixture transition distribution processes (NNMP), referred to as discrete NNMP. The proposed class…

Methodology · Statistics 2022-03-04 Xiaotian Zheng , Athanasios Kottas , Bruno Sansó

Air pollution is a major driver of climate change. Anthropogenic emissions from the burning of fossil fuels for transportation and power generation emit large amounts of problematic air pollutants, including Greenhouse Gases (GHGs). Despite…

Machine Learning · Computer Science 2021-09-01 Linus Scheibenreif , Michael Mommert , Damian Borth

Environmental processes resolved at a sufficiently small scale in space and time will inevitably display non-stationary behavior. Such processes are both challenging to model and computationally expensive when the data size is large.…

Applications · Statistics 2020-08-21 Amanda Lenzi , Stefano Castruccio , Haavard Rue , Marc G. Genton

Accounting for exposure measurement errors has been recognized as a crucial problem in environmental epidemiology for over two decades. Bayesian hierarchical models offer a coherent probabilistic framework for evaluating associations…

Methodology · Statistics 2024-01-17 Changwoo J. Lee , Elaine Symanski , Amal Rammah , Dong Hun Kang , Philip K. Hopke , Eun Sug Park

Studies of the relationships between environmental exposures and adverse health outcomes often rely on a two-stage statistical modeling approach, where exposure is modeled/predicted in the first stage and used as input to a separately fit…

Methodology · Statistics 2022-04-01 Saskia Comess , Howard H. Chang , Joshua L. Warren

We propose a new modeling framework for highly-multivariate spatial processes that synthesizes ideas from recent multiscale and spectral approaches with graphical models. The basis graphical lasso writes a univariate Gaussian process as a…

Methodology · Statistics 2024-07-08 Mitchell Krock , William Kleiber , Dorit Hammerling , Stephen Becker

Spatial modelling of extreme values allows studying the risk of joint occurrence of extreme events at different locations and is of significant interest in climatic and other environmental sciences. A popular class of dependence models for…

Methodology · Statistics 2026-02-11 Lorenzo Dell'Oro , Carlo Gaetan , Thomas Opitz

To mitigate the risk posed by extreme rainfall events, we require statistical models that reliably capture extremes in continuous space with dependence. However, assuming a stationary dependence structure in such models is often erroneous,…

Applications · Statistics 2019-07-15 K. R. Saunders , A. G. Stephenson , D. J. Karoly

Flexible random scale-mixture models provide a framework for capturing a broad range of extremal dependence structures. However, likelihood-based inference under the peaks-over-threshold setting is often computationally infeasible, due to…

Methodology · Statistics 2026-04-10 Muyang Shi , Likun Zhang , Benjamin A. Shaby

Computer experiments can emulate the physical systems, help computational investigations, and yield analytic solutions. They have been widely employed with many engineering applications (e.g., aerospace, automotive, energy systems.…

Methodology · Statistics 2022-08-23 Yan Wang , Meng Wang , Areej AlBahar , Xiaowei Yue

Acknowledging the effects of outdoor air pollution, the literature inadequately addresses indoor air pollution's impacts. Despite daily health risks, existing research primarily focused on monitoring, lacking accuracy in pinpointing indoor…

Machine Learning · Computer Science 2025-01-14 Pritisha Sarkar , Kushalava reddy Jala , Mousumi Saha

Phenomena such as air pollution levels are of greatest interest when observations are large, but standard prediction methods are not specifically designed for large observations. We propose a method, rooted in extreme value theory, which…

Applications · Statistics 2013-01-09 Daniel Cooley , Richard A. Davis , Philippe Naveau

We propose a Bayesian model for mixed ordinal and continuous multivariate data to evaluate a latent spatial Gaussian process. Our proposed model can be used in many contexts where mixed continuous and discrete multivariate responses are…

Methodology · Statistics 2013-05-22 Erin M. Schliep , Jennifer A. Hoeting

Multivariate extreme-value analysis is concerned with the extremes in a multivariate random sample, that is, points of which at least some components have exceptionally large values. Mathematical theory suggests the use of max-stable models…

Probability · Mathematics 2012-04-03 Johan Segers

The Weather Risk Attribution Forecast (WRAF) is a forecasting tool that uses output from global climate models to make simultaneous attribution statements about whether and how greenhouse gas emissions have contributed to extreme weather…

Applications · Statistics 2017-11-15 Mark D. Risser , Christopher J. Paciorek , Daithi Stone

Accurately forecasting air quality is critical to protecting general public from lung and heart diseases. This is a challenging task due to the complicated interactions among distinct pollution sources and various other influencing factors.…

Machine Learning · Computer Science 2026-03-19 Ling Chen , Jiahui Xu , Binqing Wu , Mingqi Lv , Chaoqun Zhan , Sanjian Chen , Jian Chang