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Factor models have large potencial in the modeling of several natural and human phenomena. In this paper we consider a multivariate time series $\mb{Y}_n$, ${n\geq 1}$, rescaled through random factors $\mb{T}_n$, ${n\geq 1}$, extending some…

Probability · Mathematics 2013-06-18 Helena Ferreira , Marta Ferreira

Models for extreme values accommodating non-stationarity have been amply studied and evaluated from a parametric perspective. Whilst these models are flexible, in the sense that many parametrizations can be explored, they assume an…

Applications · Statistics 2022-02-16 Evandro Konzen , Claudia Neves , Philip Jonathan

Event attribution in the context of climate change seeks to understand the role of anthropogenic greenhouse gas emissions on extreme weather events, either specific events or classes of events. A common approach to event attribution uses…

Methodology · Statistics 2018-02-06 Christopher J. Paciorek , Dáithí A. Stone , Michael F. Wehner

In environmental science applications, extreme events frequently exhibit a complex spatio-temporal structure, which is difficult to describe flexibly and estimate in a computationally efficient way using state-of-art parametric…

Methodology · Statistics 2022-12-22 Marco Oesting , Raphaël Huser

Concurrent floods and concurrent droughts in nearby catchments pose challenges to risk assessment and water management. Climate change is affecting extremely high and low discharge, but the complex interplay between changes in individual…

Applications · Statistics 2026-04-24 C. J. R. Murphy-Barltrop , J. Richards , B. Poschlod , A. Sasse , J. Zscheischler

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…

Methodology · Statistics 2016-10-10 Noel Cressie , Andrew Zammit-Mangion

Extreme weather events have significant consequences, dominating the impact of climate on society. While high-resolution weather models can forecast many types of extreme events on synoptic timescales, long-term climatological risk…

Atmospheric and Oceanic Physics · Physics 2023-01-25 Justin Finkel , Edwin P. Gerber , Dorian S. Abbot , Jonathan Weare

Non-stationary extremal dependence, whereby the relationship between the extremes of multiple variables evolves over time, is commonly observed in many environmental and financial data sets. However, most multivariate extreme value models…

Methodology · Statistics 2025-09-29 C. J. R. Murphy-Barltrop , J. L. Wadsworth , M. de Carvalho , B. D. Youngman

The 10-minute average wind speed series recorded at 132 stations distributed rather homogeneously in the territory of Switzerland are investigated. Wind extremes are defined on the base of run theory: fixing a percentile-based threshold of…

Applications · Statistics 2019-09-30 Luciano Telesca , Fabian Guignard , Mohamed Laib , Mikhail Kanevski

This paper investigates two environmental applications related to climate change, where observations consist of bounded counts. The binomial and beta-binomial (BB) models are commonly used for bounded count data, with the BB model offering…

We consider a simple approach for approximating detailed information about the conditional distribution of a real-valued response variable, given values for its covariates, using only the outputs from a standard regression model. We…

Methodology · Statistics 2022-03-22 David P. Hofmeyr

In a wide variety of situations, anomalies in the behaviour of a complex system, whose health is monitored through the observation of a random vector X = (X1,. .. , X d) valued in R d , correspond to the simultaneous occurrence of extreme…

Methodology · Statistics 2019-07-18 Maël Chiapino , Stéphan Clémençon , Vincent Feuillard , Anne Sabourin

The possibilities of the use of the coefficient of variation over a high threshold in tail modelling are discussed. The paper also considers multiple threshold tests for a generalized Pareto distribution, together with a threshold selection…

Statistics Theory · Mathematics 2015-10-02 J. Castillo , M. Padilla

This paper describes how to analyze the influence of Earth system variables on the errors when providing temperature forecasts. The initial framework to get the data has been based on previous research work, which resulted in a very…

Machine Learning · Computer Science 2024-03-14 M. Julia Flores , Melissa Ruiz-Vásquez , Ana Bastos , René Orth

The notion of expectiles, originally introduced in the context of testing for homoscedasticity and conditional symmetry of the error distribution in linear regression, induces a law-invariant, coherent and elicitable risk measure that has…

Methodology · Statistics 2020-07-20 Simone A. Padoan , Gilles Stupfler

Predictions of global climate models typically operate on coarse spatial scales due to the large computational costs of climate simulations. This has led to a considerable interest in methods for statistical downscaling, a similar process…

Artificial Intelligence · Computer Science 2024-06-03 Christina Winkler , Paula Harder , David Rolnick

Extreme environmental events frequently exhibit spatial and temporal dependence. These data are often modeled using max stable processes (MSPs). MSPs are computationally prohibitive to fit for as few as a dozen observations, with supposed…

Methodology · Statistics 2022-05-02 Emily C. Hector , Brian J. Reich

This simulation study compares statistical approaches for estimating extreme quantile regression, with a specific application to fire risk forecasting. A simulation-based framework is designed to evaluate the effectiveness of different…

Methodology · Statistics 2025-07-01 Amina El Bernoussi , Mohamed El Arrouchi

In this article there is no intention to repeat basic concepts about risk management, but we will try to define why often is usefull the time series analysis during the assessment of risks, and how is possible to compute a significative…

Applications · Statistics 2016-01-13 Gianluca Rosso

Both marginal and dependence features must be described when modelling the extremes of a stationary time series. There are standard approaches to marginal modelling, but long- and short-range dependence of extremes may both appear. In…

Methodology · Statistics 2016-03-17 Thomas Lugrin , Anthony C. Davison , Jonathan A. Tawn