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Risk assessment in casualty insurance, such as flood risk, traditionally relies on extreme-value methods that emphasizes rare events. These approaches are well-suited for characterizing tail risk, but do not capture the broader dynamics of…

Applications · Statistics 2025-10-22 Samuel Perreault , Silvana M. Pesenti , Daniyal Shahzad

The probability and structure of co-occurrences of extreme values in multivariate data may critically depend on auxiliary information provided by covariates. In this contribution, we develop a flexible generalized additive modeling…

Methodology · Statistics 2018-02-06 Linda Mhalla , Thomas Opitz , Valérie Chavez-Demoulin

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…

Focusing on regression based analysis of extremes in a presence of systematically missing covariates, this work presents a data-driven spatio-temporal regression based clustering of threshold excesses. It is shown that in a presence of…

Methodology · Statistics 2021-04-02 Olga Kaiser , Dimitri Igdalov , Olivia Martius , Illia Horenko

To study the diurnal evolution of the convective cloud field, we develop a precipitation cell tracking algorithm which records the merging and fragmentation of convective cells during their life cycles, and apply it on large eddy simulation…

Atmospheric and Oceanic Physics · Physics 2019-03-27 Christopher Moseley , Olga Henneberg , Jan O. Haerter

By recognizing that the main difficulty of the modeling of daily precipitation amounts is the selection of an appropriate probability distribution, this study aims to establish a model selection framework to identify the appropriate…

Applications · Statistics 2020-09-01 Hsien-Wei Chen

In this study, we examine a Bayesian approach to analyze extreme daily rainfall amounts and forecast return-levels. Estimating the probability of occurrence and quantiles of future extreme events is important in many applications, including…

Applications · Statistics 2022-08-29 Douglas E. Johnston

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…

Methodology · Statistics 2025-10-17 David L. Carl , Simone A. Padoan , Stefano Rizzelli

Modeling the risk of extreme weather events in a changing climate is essential for developing effective adaptation and mitigation strategies. Although the available low-resolution climate models capture different scenarios, accurate risk…

Atmospheric and Oceanic Physics · Physics 2022-12-06 Anamitra Saha , Sai Ravela

In this paper we propose a new four-parameters distribution with increasing, decreasing, bathtub-shaped and unimodal failure rate, called as the exponentiated Weibull-Poisson (EWP) distribution. The new distribution arises on a latent…

Methodology · Statistics 2012-12-24 Eisa Mahmoudi , Afsaneh Sepahdar

Extreme events are the major weather-related hazard for humanity. It is then of crucial importance to have a good understanding of their statistics and to be able to forecast them. However, lack of sufficient data makes their study…

Atmospheric and Oceanic Physics · Physics 2025-03-13 Valeria Mascolo , Alessandro Lovo , Corentin Herbert , Freddy Bouchet

The multivariate generalized Pareto distribution (mGPD) is a common method for modeling extreme threshold exceedance probabilities in environmental and financial risk management. Despite its broad applicability, mGPD faces challenges due to…

Methodology · Statistics 2025-03-18 Chenglei Hu , Daniela Castro-Camilo

The probability distribution of precipitation amount strongly depends on geography, climate zone, and time scale considered. Closed-form parametric probability distributions are not sufficiently flexible to provide accurate and universal…

Applications · Statistics 2022-06-23 Andrew Pavlides , Vasiliki Agou , Dionissios T. Hristopulos

Climate change is increasing the occurrence of extreme precipitation events, threatening infrastructure, agriculture, and public safety. Ensemble prediction systems provide probabilistic forecasts but exhibit biases and difficulties in…

Machine Learning · Computer Science 2025-04-09 Christopher Bülte , Sohir Maskey , Philipp Scholl , Jonas von Berg , Gitta Kutyniok

Less than 10 meters deep, shallow landslides are rapidly moving and strongly dangerous slides. In the present work, the probabilistic distribution of the landslide detachment points within a valley is modelled as a spatial Poisson point…

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…

Atmospheric and Oceanic Physics · Physics 2024-09-26 Clement Guilloteau , Gavin Kerrigan , Kai Nelson , Giosue Migliorini , Padhraic Smyth , Runze Li , Efi Foufoula-Georgiou

Gridded estimated rainfall intensity values at very high spatial and temporal resolution levels are needed as main inputs for weather prediction models to obtain accurate precipitation forecasts, and to verify the performance of…

Applications · Statistics 2009-01-23 Montserrat Fuentes , Brian Reich , Gyuwon Lee

Improving the representation of precipitation in Earth system models (ESMs) is critical for assessing the impacts of climate change and especially of extreme events like floods and droughts. In existing ESMs, precipitation is not resolved…

Machine Learning · Computer Science 2026-05-27 Michael Aich , Sebastian Bathiany , Philipp Hess , Yu Huang , Niklas Boers

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…

Methodology · Statistics 2024-05-01 Arnab Hazra , Raphaël Huser , David Bolin

A new method is proposed for modelling the yearly maxima of sub-daily precipitation, with the aim of producing spatial maps of return level estimates. Yearly precipitation maxima are modelled using a Bayesian hierarchical model with a…

Applications · Statistics 2022-09-23 Silius M. Vandeskog , Sara Martino , Daniela Castro-Camilo , Håvard Rue