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Using lightning strikes as an example, two possible schemes are discussed for the attribution of changes in event frequency to climate change, and estimating the cost associated with them. The schemes determine the fraction of events that…

Applications · Statistics 2015-10-21 Anthony J. Webster

The Brown-Resnick max-stable process has proven to be well-suited for modeling extremes of complex environmental processes, but in many applications its likelihood function is intractable and inference must be based on a composite…

Methodology · Statistics 2017-01-16 Emeric Thibaud , Juha Aalto , Daniel S. Cooley , Anthony C. Davison , Juha Heikkinen

A nonparametric procedure to estimate the conditional probability that a nonstationary geostatistical process exceeds a certain threshold value is proposed. The method consists of a bootstrap algorithm that combines conditional simulation…

An extreme wind speed estimation method that considers wind hazard climate types is critical for design wind load calculation for building structures affected by mixed climates. However, it is very difficult to obtain wind hazard climate…

Machine Learning · Statistics 2019-08-30 Wei Cui , Teng Ma , Lin Zhao , Yaojun Ge

The block maxima approach is an important method in univariate extreme value analysis. While assuming that block maxima are independent results in straightforward analysis, the resulting inferences maybe invalid when a series of block…

Methodology · Statistics 2020-09-24 Brook T. Russell , Whitney K. Huang

Projections of extreme sea levels (ESLs) are critical for managing coastal risks, but are made complicated by deep uncertainties. One key uncertainty is the choice of model structure used to estimate coastal hazards. Differences in model…

Data Analysis, Statistics and Probability · Physics 2020-06-15 Tony E. Wong , Travis Torline , Mingxuan Zhang

Extreme precipitation is projected to become more frequent and more intense due to climate change and associated thermodynamical effects, but the local response of atmospheric circulation under future climate scenarios remains uncertain due…

In extreme value analysis, tail behavior of a heavy-tailed data distribution is modeled by a Pareto-type distribution in which the so-called extreme value index (EVI) controls the tail behavior. For heavy-tailed data obtained from multiple…

Methodology · Statistics 2026-01-08 Koki Momoki , Takuma Yoshida

This paper presents a novel semiparametric method to study the effects of extreme events on binary outcomes and subsequently forecast future outcomes. Our approach, based on Bayes' theorem and regularly varying (RV) functions, facilitates a…

Econometrics · Economics 2025-02-25 Laura Liu , Yulong Wang

Risk management in many environmental settings requires an understanding of the mechanisms that drive extreme events. Useful metrics for quantifying such risk are extreme quantiles of response variables conditioned on predictor variables…

Machine Learning · Statistics 2024-03-08 Jordan Richards , Raphaël Huser

The instability in the selection of models is a major concern with data sets containing a large number of covariates. This paper deals with variable selection methodology in the case of high-dimensional problems where the response variable…

Applications · Statistics 2012-03-23 Marie Walschaerts , Eve Leconte , Philippe Besse

Maximum likelihood estimation is widely used in training Energy-based models (EBMs). Training requires samples from an unnormalized distribution, which is usually intractable, and in practice, these are obtained by MCMC algorithms such as…

Machine Learning · Computer Science 2021-04-23 Zhisheng Xiao , Qing Yan , Yali Amit

The main approach to inference for multivariate extremes consists in approximating the joint upper tail of the observations by a parametric family arising in the limit for extreme events. The latter may be expressed in terms of…

Methodology · Statistics 2015-06-17 Raphaël Huser , Anthony C. Davison , Marc G. Genton

Dynamical downscaling with high-resolution regional climate models may offer the possibility of realistically reproducing precipitation and weather events in climate simulations. As resolutions fall to order kilometers, the use of explicit…

Applications · Statistics 2018-08-01 Won Chang , Jiali Wang , Julian Marohnic , Rao Kotamarthi , Elisabeth J. Moyer

Modeling extreme precipitation and temperature is vital for understanding the impacts of climate change, as hazards like intense rainfall and record-breaking temperatures can result in severe consequences, including floods, droughts, and…

Methodology · Statistics 2026-01-13 Remy MacDonald , Benjamin Seiyon Lee , John Foley , Justin Lee

Extreme events such as natural and economic disasters leave lasting impacts on society and motivate the analysis of extremes from data. While classical statistical tools based on Gaussian distributions focus on average behaviour and can…

Applications · Statistics 2023-11-01 Michele Nguyen , Almut E. D. Veraart , Benoit Taisne , Tan Chiou Ting , David Lallemant

Extreme events in complex physical systems, such as anomalous wind gusts, often cause significant material and human damage. Their modeling is crucial for risk assessment and understanding the underlying dynamics. In this work, we introduce…

Methodology · Statistics 2025-08-01 José I. C. Lima , Raydonal Ospina , Michelli Barros , Antônio M. S. Macêdo

We approach multivariate mode estimation through Gibbs distributions and introduce GERVE (Gibbs-measure Entropy-Regularised Variational Estimation), a likelihood-free framework that approximates Gibbs measures directly from samples by…

Methodology · Statistics 2026-02-23 Tâm LeMinh , Julyan Arbel , Florence Forbes , Hien Duy Nguyen

This paper deals with prediction of anopheles number, the main vector of malaria risk, using environmental and climate variables. The variables selection is based on an automatic machine learning method using regression trees, and random…

Machine Learning · Statistics 2016-06-27 Bienvenue Kouwayè

We discuss the use of likelihood asymptotics for inference on risk measures in univariate extreme value problems, focusing on estimation of high quantiles and similar summaries of risk for uncertainty quantification. We study whether…

Methodology · Statistics 2021-01-28 Léo R. Belzile , Anthony C. Davison
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