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Related papers: Modeling zero-inflated precipitation extremes

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The multivariate version of the Mixed Tempered Stable is proposed. It is a generalization of the Normal Variance Mean Mixtures. Characteristics of this new distribution and its capacity in fitting tails and capturing dependence structure…

Statistical Finance · Quantitative Finance 2016-10-04 Asmerilda Hitaj , Friedrich Hubalek , Lorenzo Mercuri , Edit Rroji

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,…

Applications · Statistics 2019-07-15 K. R. Saunders , A. G. Stephenson , D. J. Karoly

The relationship between a response variable and its covariates can vary significantly, especially in scenarios where covariates take on extremely high or low values. This paper introduces a max-linear tail regression model specifically…

Methodology · Statistics 2025-02-24 Liujun Chen , Deyuan Li , Zhengjun Zhang

Extreme events, such as wave-storms, need to be characterized for coastal infrastructure design purposes. Such description should contain information on both the univariate behaviour and the joint-dependence of storm-variables. These two…

Atmospheric and Oceanic Physics · Physics 2019-03-15 Jue Lin-Ye , Manuel García-León , Vicente Gràcia , Maribel Ortego , Piero Lionello , Agustín Sanchez-Arcilla

A key problem in computational sustainability is to understand the distribution of species across landscapes over time. This question gives rise to challenging large-scale prediction problems since (i) hundreds of species have to be…

Machine Learning · Computer Science 2020-11-02 Shufeng Kong , Junwen Bai , Jae Hee Lee , Di Chen , Andrew Allyn , Michelle Stuart , Malin Pinsky , Katherine Mills , Carla P. Gomes

Diffusion models achieve state-of-the-art generation quality across many applications, but their ability to capture rare or extreme events in heavy-tailed distributions remains unclear. In this work, we show that traditional diffusion and…

Machine Learning · Computer Science 2024-10-30 Kushagra Pandey , Jaideep Pathak , Yilun Xu , Stephan Mandt , Michael Pritchard , Arash Vahdat , Morteza Mardani

We propose a Bayesian hierarchical model for spatial extremes on a large domain. In the data layer a Gaussian elliptical copula having generalized extreme value (GEV) marginals is applied. Spatial dependence in the GEV parameters are…

Aiming to generate realistic synthetic times series of the bivariate process of daily mean temperature and precipitations, we introduce a non-homogeneous hidden Markov model. The non-homogeneity lies in periodic transition probabilities…

Applications · Statistics 2018-10-29 Augustin Touron , Thi Thu Huong Hoang , Sylvie Parey

The estimation of extreme flood quantiles is challenging due to the relative scarcity of extreme data compared to typical target return periods. Several approaches have been developed over the years to face this challenge, including…

Applications · Statistics 2016-02-17 Anne Sabourin , Benjamin Renard

Earth System Models (ESMs) are the state of the art for projecting the effects of climate change. However, longstanding uncertainties in their ability to simulate regional and local precipitation extremes and related processes inhibit…

Applications · Statistics 2017-07-20 Evan Kodra , Singdhansu Chatterjee , Stone Chen , Auroop R. Ganguly

This paper investigates pooling strategies for tail index and extreme quantile estimation from heavy-tailed data. To fully exploit the information contained in several samples, we present general weighted pooled Hill estimators of the tail…

Statistics Theory · Mathematics 2021-11-08 Abdelaati Daouia , Simone A. Padoan , Gilles Stupfler

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…

Electricity networks are vulnerable to weather damage, with severe events often leading to faults and power outages. Timely forecasts of fault occurrences, ranging from nowcasts to several days ahead, can enhance preparedness, support…

Applications · Statistics 2026-03-03 Mateus Maia , Daniela Castro-Camilo , Jethro Browell

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

In risk analysis, a global fit that appropriately captures the body and the tail of the distribution of losses is essential. Modelling the whole range of the losses using a standard distribution is usually very hard and often impossible due…

Methodology · Statistics 2017-09-19 Tom Reynkens , Roel Verbelen , Jan Beirlant , Katrien Antonio

Modelling non-homogeneous and multi-component data is a problem that challenges scientific researchers in several fields. In general, it is not possible to find a simple and closed form probabilistic model to describe such data. That is why…

Methodology · Statistics 2017-12-27 Nehla Debbabi , Marie Kratz , Mamadou Mboup

When modeling a vector of risk variables, extreme scenarios are often of special interest. The peaks-over-thresholds method hinges on the notion that, asymptotically, the excesses over a vector of high thresholds follow a multivariate…

Statistics Theory · Mathematics 2024-09-23 Anas Mourahib , Anna Kiriliouk , Johan Segers

The identification of regions of similar climatological behavior can be utilized for the discovery of spatial relationships over long-range scales, including teleconnections. In this regard, the global picture of the interdependence…

Atmospheric and Oceanic Physics · Physics 2022-05-06 Zhen Su , Henning Meyerhenke , Jürgen Kurths

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…

Methodology · Statistics 2019-06-19 Erick A. Chacón-Montalván , Luke Parry , Gemma Davies , Benjamin M. Taylor

With the deterioration of climate, the phenomenon of rain-induced flooding has become frequent. To mitigate its impact, recent works adopt convolutional neural network or its variants to predict the floods. However, these methods directly…

Computer Vision and Pattern Recognition · Computer Science 2023-12-13 Feifei Wang , Yong Wang , Bing Li , Qidong Huang , Shaoqing Chen