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The conditional extremes framework allows for event-based stochastic modeling of dependent extremes, and has recently been extended to spatial and spatio-temporal settings. After standardizing the marginal distributions and applying an…

统计方法学 · 统计学 2024-03-26 Emma S. Simpson , Thomas Opitz , Jennifer L. Wadsworth

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

To address the need for efficient inference for a range of hydrological extreme value problems, spatial pooling of information is the standard approach for marginal tail estimation. We propose the first extreme value spatial clustering…

统计方法学 · 统计学 2019-06-21 Christian Rohrbeck , Jonathan A Tawn

In this work, we estimate extreme sea surface temperature (SST) hotspots, i.e., high threshold exceedance regions, for the Red Sea, a vital region of high biodiversity. We analyze high-resolution satellite-derived SST data comprising daily…

应用统计 · 统计学 2020-10-20 Arnab Hazra , Raphaël Huser

Various natural phenomena exhibit spatial extremal dependence at short spatial distances. However, existing models proposed in the spatial extremes literature often assume that extremal dependence persists across the entire domain. This is…

统计方法学 · 统计学 2024-05-01 Arnab Hazra , Raphaël Huser , David Bolin

Flexible spatial models that allow transitions between tail dependence classes have recently appeared in the literature. However, inference for these models is computationally prohibitive, even in moderate dimensions, due to the necessity…

统计理论 · 数学 2020-12-03 Likun Zhang , Benjamin A. Shaby , Jennifer L. Wadsworth

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

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…

统计方法学 · 统计学 2022-12-22 Marco Oesting , Raphaël Huser

In this chapter, we show how to efficiently model high-dimensional extreme peaks-over-threshold events over space in complex non-stationary settings, using extended latent Gaussian Models (LGMs), and how to exploit the fitted model in…

统计方法学 · 统计学 2021-10-07 Arnab Hazra , Raphaël Huser , Árni V. Jóhannesson

With extreme weather events becoming more common, the risk posed by surface water flooding is ever increasing. In this work we propose a model, and associated Bayesian inference scheme, for generating probabilistic (high-resolution…

Many real-world processes have complex tail dependence structures that cannot be characterized using classical Gaussian processes. More flexible spatial extremes models exhibit appealing extremal dependence properties but are often…

机器学习 · 统计学 2024-12-19 Likun Zhang , Xiaoyu Ma , Christopher K. Wikle , Raphaël Huser

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

Data derived from remote sensing or numerical simulations often have a regular gridded structure and are large in volume, making it challenging to find accurate spatial models that can fill in missing grid cells or simulate the process…

机器学习 · 统计学 2025-05-07 Sweta Rai , Douglas W. Nychka , Soutir Bandyopadhyay

Recent years have seen a huge development in spatial modelling and prediction methodology, driven by the increased availability of remote-sensing data and the reduced cost of distributed-processing technology. It is well known that…

统计计算 · 统计学 2020-02-18 Andrew Zammit-Mangion , Jonathan Rougier

We develop a spatio-temporal model to forecast sensor output at five locations in North East England. The signal is described using coupled dynamic linear models, with spatial effects specified by a Gaussian process. Data streams are…

应用统计 · 统计学 2018-06-15 Yingying Lai , Andrew Golightly , Richard Boys

Accurately quantifying tail risks-rare but high-impact events such as financial crashes or extreme weather-is a central challenge in risk management, with serially dependent data. We develop a Bayesian framework based on the Generalized…

统计方法学 · 统计学 2025-10-17 David L. Carl , Simone A. Padoan , Stefano Rizzelli

Remotely sensed data are sparse, which means that data have missing values, for instance due to cloud cover. This is problematic for applications and signal processing algorithms that require complete data sets. To address the sparse data…

In this paper we consider Bayesian estimation for the parameters of inverse Gaussian distribution. Our emphasis is on Markov Chain Monte Carlo methods. We provide complete implementation of the Gibbs sampler algorithm. Assuming an…

统计方法学 · 统计学 2012-10-17 B. N. Pandey , Pulastya Bandyopadhyay

Estimating spatial extremes from sparse observational networks produces uncertain return level maps, but dense output from physics-based simulation models is often available as a complementary data source. We develop a two-stage frequentist…

统计方法学 · 统计学 2026-03-04 Brian N. White , Brian Blanton , Rick Luettich , Richard L. Smith

Gaussian graphical models are widely used to infer dependence structures. Bayesian methods are appealing to quantify uncertainty associated with structural learning, i.e., the plausibility of conditional independence statements given the…

统计方法学 · 统计学 2025-11-05 Deborah Sulem , Jack Jewson , David Rossell
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