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We present a new approach to modeling the future development of extreme temperatures globally and on a long time-scale by using non-stationary generalized extreme value distributions in combination with logistic functions. This approach is…

大气与海洋物理 · 物理学 2022-07-28 Justus Contzen , Thorsten Dickhaus , Gerrit Lohmann

Environmental phenomena are influenced by complex interactions among various factors. For instance, the amount of rainfall measured at different stations within a given area is shaped by atmospheric conditions, orography, and physics of…

应用统计 · 统计学 2025-01-16 Paolo Onorati , Antonio Canale

Quantifying the impacts of anthropogenic global warming requires accurate Earth system model (ESM) simulations. Statistical bias correction and downscaling can be applied to reduce errors and increase the resolution of ESMs. However,…

地球物理 · 物理学 2024-06-24 Philipp Hess , Niklas Boers

With the introduction of the variational autoencoder (VAE), probabilistic latent variable models have received renewed attention as powerful generative models. However, their performance in terms of test likelihood and quality of generated…

机器学习 · 统计学 2020-01-13 Lars Maaløe , Marco Fraccaro , Valentin Liévin , Ole Winther

Spatial generalized linear mixed models (SGLMMs) are popular and flexible models for non-Gaussian spatial data. They are useful for spatial interpolations as well as for fitting regression models that account for spatial dependence, and are…

统计方法学 · 统计学 2021-10-26 Yawen Guan , Murali Haran

For hydrological applications, such as urban flood modelling, it is often important to be able to simulate sub-daily rainfall time series from stochastic models. However, modelling rainfall at this resolution poses several challenges,…

应用统计 · 统计学 2020-07-14 Oliver Stoner , Theo Economou

Bayesian inference tasks continue to pose a computational challenge. This especially holds for spatial-temporal modeling where high-dimensional latent parameter spaces are ubiquitous. The methodology of integrated nested Laplace…

统计计算 · 统计学 2023-03-28 Lisa Gaedke-Merzhäuser , Elias Krainski , Radim Janalik , Håvard Rue , Olaf Schenk

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…

统计方法学 · 统计学 2026-02-23 Tâm LeMinh , Julyan Arbel , Florence Forbes , Hien Duy Nguyen

Motivated by the EVA 2025 Data Challenge, we address the problem of predicting extreme rainfall in the eastern United States using data from a large ensemble of climate model runs. The challenge focuses on three quantities of interest…

统计方法学 · 统计学 2026-03-20 Ryan Campbell , Kristina Grolmusova , Lydia Kakampakou , Jeongjin Lee

Downscaling, or super-resolution, provides decision-makers with detailed, high-resolution information about the potential risks and impacts of climate change, based on climate model output. Machine learning algorithms are proving themselves…

大气与海洋物理 · 物理学 2024-04-30 Robbie A. Watt , Laura A. Mansfield

This article extends the multivariate extreme value theory (MEVT) to discrete settings, focusing on the generalized Pareto distribution (GPD) as a foundational tool. The purpose of the study is to enhance the understanding of extreme…

统计方法学 · 统计学 2025-06-25 Samira Aka , Marie Kratz , Philippe Naveau

Historical observations of severe weather and simulated severe weather environments (i.e., features) from the Global Ensemble Forecast System v12 (GEFSv12) Reforecast Dataset (GEFS/R) are used in conjunction to train and test random forest…

大气与海洋物理 · 物理学 2022-12-19 Aaron J. Hill , Russ S. Schumacher , Israel Jirak

This paper develops a unified estimation framework, the Maximum Ideal Likelihood Estimation (MILE), for general parametric models with latent variables. Unlike traditional approaches relying on the marginal likelihood of the observed data,…

统计理论 · 数学 2025-10-08 Yizhou Cai , Ting Fung Ma

In this paper, we introduce two new model-based versions of the widely-used standardized precipitation index (SPI) for detecting and quantifying the magnitude of extreme hydro-climatic events. Our analytical approach is based on generalized…

统计方法学 · 统计学 2019-06-19 Erick A. Chacón-Montalván , Luke Parry , Gemma Davies , Benjamin M. Taylor

Impact assessment of natural hazards requires the consideration of both extreme and non-extreme events. Extensive research has been conducted on the joint modeling of bulk and tail in univariate settings; however, the corresponding body of…

统计方法学 · 统计学 2026-03-31 Chenglei Hu , Ben Swallow , Daniela Castro-Camilo

Gaussian and discrete non-Gaussian spatial datasets are common across fields like public health, ecology, geosciences, and social sciences. Bayesian spatial generalized linear mixed models (SGLMMs) are a flexible class of models for…

统计方法学 · 统计学 2025-01-27 Jin Hyung Lee , Ben Seiyon Lee

A generative diffusion model is used to produce probabilistic ensembles of precipitation intensity maps at the 1-hour 5-km resolution. The generation is conditioned on infrared and microwave radiometric measurements from the GOES and DMSP…

Non-Gaussian mixture models are gaining increasing attention for mixture model-based clustering particularly when dealing with data that exhibit features such as skewness and heavy tails. Here, such a mixture distribution is presented,…

统计计算 · 统计学 2020-05-07 Yuan Fang , Dimitris Karlis , Sanjeena Subedi

Gamma-Ray Bursts (GRBs) are known to be unpredictable in time and position. A few (observationally) exceptional events have been observed, as GRB221009A that stands out for its fluence and peak flux, being orders of magnitude higher than…

高能天体物理现象 · 物理学 2025-09-10 Stefano Covino

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
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