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The generalized extreme value (GEV) distribution is a popular model for analyzing and forecasting extreme weather data. To increase prediction accuracy, spatial information is often pooled via a latent Gaussian process (GP) on the GEV…

统计方法学 · 统计学 2024-05-20 Meixi Chen , Reza Ramezan , Martin Lysy

The generalized extreme value (GEV) distribution is commonly employed to help estimate the likelihood of extreme events in many geophysical and other application areas. The recently proposed blended generalized extreme value (bGEV)…

应用统计 · 统计学 2024-10-10 Nir Y. Krakauer

Spatial maps of extreme precipitation are a critical component of flood estimation in hydrological modeling, as well as in the planning and design of important infrastructure. This is particularly relevant in countries such as Norway that…

应用统计 · 统计学 2014-05-27 Anita V. Dyrrdal , Alex Lenkoski , Thordis L. Thorarinsdottir , Frode Stordal

There is substantial empirical and climatological evidence that precipitation extremes have become more extreme during the twentieth century, and that this trend is likely to continue as global warming becomes more intense. However,…

Motivated by the analysis of extreme rainfall data, we introduce a general Bayesian hierarchical model for estimating the probability distribution of extreme values of intermittent random sequences, a common problem in geophysical and…

统计方法学 · 统计学 2020-05-26 Enrico Zorzetto , Antonio Canale , Marco Marani

Extreme floods cause casualties, and widespread damage to property and vital civil infrastructure. We here propose a Bayesian approach for predicting extreme floods using the generalized extreme-value (GEV) distribution within gauged and…

统计方法学 · 统计学 2021-04-07 Árni V. Johannesson , Stefan Siegert , Raphaël Huser , Haakon Bakka , Birgir Hrafnkelsson

Extreme environmental phenomena such as major precipitation events manifestly exhibit spatial dependence. Max-stable processes are a class of asymptotically-justified models that are capable of representing spatial dependence among extreme…

应用统计 · 统计学 2013-01-09 Brian J. Reich , Benjamin A. Shaby

Projections of changes in extreme climate are sometimes predicted by using multi-model ensemble methods such as Bayesian model averaging (BMA) embedded with the generalized extreme value (GEV) distribution. BMA is a popular method for…

应用统计 · 统计学 2024-08-20 Yonggwan Shin , Youngsaeng Lee , Juntae Choi , Jeong-Soo Park

This work has been motivated by the challenge of the 2017 conference on Extreme-Value Analysis (EVA2017), with the goal of predicting daily precipitation quantiles at the $99.8\%$ level for each month at observed and unobserved locations.…

统计方法学 · 统计学 2018-02-06 Thomas Opitz , Raphaël Huser , Haakon Bakka , Håvard Rue

We propose a Bayesian hierarchical model for spatial extremes on a large domain. In the data layer a Gaussian elliptical copula having generalized extreme value (GEV) marginals is applied. Spatial dependence in the GEV parameters are…

统计方法学 · 统计学 2017-03-08 Cameron Bracken , Balaji Rajagopalan , Linyin Cheng , Will Kleiber , Subhrendu Gangopadhyay

Aiming to deliver improved precipitation simulations for hydrological impact assessment studies, we develop a methodology for modelling and simulating high-dimensional spatial precipitation extremes, focusing on both their marginal…

应用统计 · 统计学 2024-10-01 Silius M. Vandeskog , Raphaël Huser , Oddbjørn Bruland , Sara Martino

The heavy-tailed behavior of the generalized extreme-value distribution makes it a popular choice for modeling extreme events such as floods, droughts, heatwaves, wildfires, etc. However, estimating the distribution's parameters using…

Accurately estimating high quantiles beyond the largest observed value is crucial for risk assessment and devising effective adaptation strategies to prevent a greater disaster. The generalized extreme value distribution is widely used for…

统计方法学 · 统计学 2026-02-24 Yonggwan Shin , Yire Shin , Jeong-Soo Park

We propose a computationally efficient statistical method to obtain distributional properties of annual maximum 24 hour precipitation on a 1 km by 1 km regular grid over Iceland. A latent Gaussian model is built which takes into account…

统计方法学 · 统计学 2015-06-23 Óli Páll Geirsson , Birgir Hrafnkelsson , Daniel Simpson

This paper introduces a method for spatial interpolation of extreme values, and in particular targets the case in which conventional data, resulting from a measurement for example, are available at only a few locations. To overcome this the…

统计方法学 · 统计学 2012-03-13 B. D. Youngman

The generalised extreme value (GEV) distribution is a three parameter family that describes the asymptotic behaviour of properly renormalised maxima of a sequence of independent and identically distributed random variables. If the shape…

应用统计 · 统计学 2022-05-10 Daniela Castro-Camilo , Raphaël Huser , Håvard Rue

Regional flood frequency analysis is commonly applied in situations where there exists insufficient data at a location for a reliable estimation of flood quantiles. We develop a Bayesian hierarchical modeling framework for a regional…

Modelling of precipitation and its extremes is important for urban and agriculture planning purposes. We present a method for producing spatial predictions and measures of uncertainty for spatio-temporal data that is heavy-tailed and…

应用统计 · 统计学 2014-11-19 Yang Liu , Philip Kokic

Modelling block maxima using the generalised extreme value (GEV) distribution is a classical and widely used method for studying univariate extremes. It allows for theoretically motivated estimation of return levels, including extrapolation…

统计方法学 · 统计学 2026-02-02 Emma S. Simpson , Paul J. Northrop

We consider forecasting functional time series of extreme values within a generalised extreme value distribution (GEV). The GEV distribution can be characterised using the three parameters (location, scale and shape). As a result, the…

统计方法学 · 统计学 2020-12-22 Han Lin Shang , Ruofan Xu
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