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Accurate precipitation forecasts have a high socio-economic value due to their role in decision-making in various fields such as transport networks and farming. We propose a global statistical postprocessing method for grid-based…

Machine Learning · Statistics 2024-07-03 Romain Pic , Clément Dombry , Philippe Naveau , Maxime Taillardat

Modelling multivariate extreme events is essential when extrapolating beyond the range of observed data. Parametric models that are suitable for real-world extremes must be flexible -- particularly in their ability to capture asymmetric…

Methodology · Statistics 2025-12-05 Pavel Krupskii , Boris Béranger

Simulating realistic wet and dry spells is central in weather generators and climate-impact studies. While finite-order Markov chains are standard, they often fail to reproduce persistent dry conditions due to their inherent subexponential…

Methodology · Statistics 2026-05-21 Antoine Doizé , Denis Allard , Philippe Naveau , Olivier Wintenberger

Reliable estimates of sea level return levels are crucial for coastal flooding risk assessments and for coastal flood defence design. We describe a novel method for estimating extreme sea levels that is the first to capture seasonality,…

Applications · Statistics 2022-07-21 Eleanor D'Arcy , Jonathan A. Tawn , Amélie Joly , Dafni E. Sifnioti

Statistical post-processing of dynamical forecast ensembles is an essential component of weather forecasting. In this article, we present a post-processing method that generates full predictive probability distributions for precipitation…

Applications · Statistics 2014-04-29 Michael Scheuerer

The most popular approach in extreme value statistics is the modelling of threshold exceedances using the asymptotically motivated generalised Pareto distribution. This approach involves the selection of a high threshold above which the…

Methodology · Statistics 2014-05-27 Ioannis Papastathopoulos , Jonathan A. Tawn

In a recent development in the literature, a new temporal rainfall model, based on the Bartlett-Lewis clustering mechanism and intended for sub-hourly application, was introduced. That model replaced the rectangular rain cells of the…

Statistics Theory · Mathematics 2013-09-23 Jo Kaczmarska , Valerie Isham , Christian Onof

Motivated by the EVA2025 data challenge, where we participated as the team DesiBoys, we propose a regression strategy within the framework of regular variation to estimate the occurrences and intensities of high precipitation extremes…

Methodology · Statistics 2026-02-10 Rishikesh Yadav , Arnab Hazra

Statistical modeling of monthly, seasonal, or annual rainfall data is an important research area in meteorology. These models play a crucial role in rainfed agriculture, where a proper assessment of the future availability of rainwater is…

Applications · Statistics 2024-03-05 Arnab Hazra , Abhik Ghosh

Inference on the extremal behaviour of spatial aggregates of precipitation is important for quantifying river flood risk. There are two classes of previous approach, with one failing to ensure self-consistency in inference across different…

Methodology · Statistics 2022-06-22 Jordan Richards , Jonathan A. Tawn , Simon Brown

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…

Applications · Statistics 2020-03-13 Marco Oesting , Philippe Naveau

Numerical modeling of the intensity and evolution of flood events are affected by multiple sources of uncertainty such as precipitation and land surface conditions. To quantify and curb these uncertainties, an ensemble-based simulation and…

Geophysics · Physics 2023-02-17 Junyu Wei , Xiangyu Luo , Weihong Liao , Xiaohui Lei , Jianshi Zhao , Haocheng Huang , Hao Wang

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…

Methodology · Statistics 2025-06-25 Samira Aka , Marie Kratz , Philippe Naveau

The Generalized Pareto Distribution (GPD) plays a central role in modelling heavy tail phenomena in many applications. Applying the GPD to actual datasets however is a non-trivial task. One common way suggested in the literature to…

Statistics Theory · Mathematics 2017-08-08 Se Yoon Lee , Joseph H. T. Kim

Time Series Forecasting (TSF) is a widely researched topic with broad applications in weather forecasting, traffic control, and stock price prediction. Extreme values in time series often significantly impact human and natural systems, but…

Machine Learning · Computer Science 2023-10-12 Jincheng Wang , Yue Gao

Extreme value theory offers a statistical framework for quantifying the risk of rare events, with the generalized Pareto (GP) distribution providing the canonical limit model for univariate threshold exceedances. In many applications,…

Methodology · Statistics 2026-04-15 Mirco Lescart , Anna Kiriliouk , Philippe Naveau

Although most models for rainfall extremes focus on point-wise values, it is aggregated precipitation over areas up to river catchment scale that is of the most interest. To capture the joint behaviour of precipitation aggregates evaluated…

Applications · Statistics 2023-01-03 Jordan Richards , Jonathan A. Tawn , Simon Brown

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…

Methodology · Statistics 2026-03-31 Chenglei Hu , Ben Swallow , Daniela Castro-Camilo

Max-stable processes are increasingly widely used for modelling complex extreme events, but existing fitting methods are computationally demanding, limiting applications to a few dozen variables. $r$-Pareto processes are mathematically…

Methodology · Statistics 2017-06-14 Raphaël de Fondeville , Anthony C. Davison

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…

Applications · Statistics 2020-09-02 Hsien-Wei Chen