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Understanding the spatial extent of extreme precipitation is necessary for determining flood risk and adequately designing infrastructure (e.g., stormwater pipes) to withstand such hazards. While environmental phenomena typically exhibit…

应用统计 · 统计学 2020-03-25 Gregory P. Bopp , Benjamin A. Shaby , Raphaël Huser

The last decade has seen max-stable processes emerge as a common tool for the statistical modeling of spatial extremes. However, their application is complicated due to the unavailability of the multivariate density function, and so…

统计方法学 · 统计学 2009-02-23 Simone A. Padoan , Mathieu Ribatet , Scott A. Sisson

The analysis of spatial extremes requires the joint modeling of a spatial process at a large number of stations and max-stable processes have been developed as a class of stochastic processes suitable for studying spatial extremes. Spatial…

统计方法学 · 统计学 2012-09-28 Soyoung Jeon , Richard L. Smith

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…

统计方法学 · 统计学 2022-05-02 Emily C. Hector , Brian J. Reich

To disentangle the complex non-stationary dependence structure of precipitation extremes over the entire contiguous U.S., we propose a flexible local approach based on factor copula models. Our sub-asymptotic spatial modeling framework…

应用统计 · 统计学 2019-03-26 Daniela Castro-Camilo , Raphaël Huser

Describing the complex dependence structure of extreme phenomena is particularly challenging. To tackle this issue we develop a novel statistical algorithm that describes extremal dependence taking advantage of the inherent hierarchical…

统计方法学 · 统计学 2018-07-24 Sabrina Vettori , Raphaël Huser , Johan Segers , Marc G. Genton

Parametric inference for spatial max-stable processes is difficult since the related likelihoods are unavailable. A composite likelihood approach based on the bivariate distribution of block maxima has been recently proposed in the…

应用统计 · 统计学 2012-05-08 Jean-Noel Bacro , Carlo Gaetan

This paper introduces a novel sub-sampling block maxima technique to model and characterize environmental extreme risks. We examine the relationships between block size and block maxima statistics derived from the Gaussian and generalized…

统计方法学 · 统计学 2025-06-18 Tuoyuan Cheng , Xiao Peng , Achmad Choiruddin , Xiaogang He , Kan Chen

Precipitation exceedance probabilities are widely used in engineering design, risk assessment, and floodplain management. While common approaches like NOAA Atlas 14 assume that extreme precipitation characteristics are stationary over time,…

应用统计 · 统计学 2025-02-05 Yuchen Lu , Ben Seiyon Lee , James Doss-Gollin

Extreme events over large spatial domains may exhibit highly heterogeneous tail dependence characteristics, yet most existing spatial extremes models yield only one dependence class over the entire spatial domain. To accurately characterize…

统计方法学 · 统计学 2025-11-14 Muyang Shi , Likun Zhang , Mark D. Risser , Benjamin A. Shaby

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,…

应用统计 · 统计学 2019-07-15 K. R. Saunders , A. G. Stephenson , D. J. Karoly

In recent years, parametric models for max-stable processes have become a popular choice for modeling spatial extremes because they arise as the asymptotic limit of rescaled maxima of independent and identically distributed random…

统计方法学 · 统计学 2025-05-14 Carolin Forster , Marco Oesting

A new stochastic model for daily precipitation occurrence processes observed at multiple locations is developed. The modeling concept is to use the indicator function and the elliptical shape of multivariate Gaussian distribution to…

应用统计 · 统计学 2020-09-02 Hsien-Wei Chen

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…

应用统计 · 统计学 2022-02-16 Evandro Konzen , Claudia Neves , Philip Jonathan

Max-stable processes are natural models for spatial extremes because they provide suitable asymptotic approximations to the distribution of maxima of random fields. In the recent past, several parametric families of stationary max-stable…

统计方法学 · 统计学 2016-02-22 Raphael Huser , Marc G. Genton

Extreme precipitation shows non-stationary behavior over time, but also with respect to other large-scale variables. While this effect is often neglected, we propose a model including the influence of North Atlantic Oscillation, time,…

大气与海洋物理 · 物理学 2022-11-09 Felix S. Fauer , Henning W. Rust

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…

应用统计 · 统计学 2024-04-23 C. J. R. Murphy-Barltrop , J. L. Wadsworth

Quantifying changes in the probability and magnitude of extreme flooding events is key to mitigating their impacts. While hydrodynamic data are inherently spatially dependent, traditional spatial models such as Gaussian processes are poorly…

统计方法学 · 统计学 2024-05-06 Reetam Majumder , Brian J. Reich , Benjamin A. Shaby

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

Due to complex physical phenomena, the distribution of heavy rainfall events is difficult to model spatially. Physically based numerical models can often provide physically coherent spatial patterns, but may miss some important…

应用统计 · 统计学 2020-03-13 Marco Oesting , Philippe Naveau
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