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The approaches, based on the negative binomial model for the distribution of duration of the wet periods measured in days, are proposed to the definition of extreme precipitation. This model demonstrates excellent fit with real data and…

Methodology · Statistics 2018-11-30 V. Yu. Korolev , A. K. Gorshenin , K. P. Belyaev

This study provides a summary of the theory which enables the analysis of extreme values, i.e., of measurements acquired from the observation of extraordinary/rare physical phenomena. The formalism is developed in a transparent way,…

Data Analysis, Statistics and Probability · Physics 2024-07-02 Evangelos Matsinos

A method for estimating return values from ensembles of forecasts at advanced lead times is presented. Return values of significant wave height in the North-East Atlantic, the Norwegian Sea and the North Sea are computed from archived…

Atmospheric and Oceanic Physics · Physics 2013-04-05 Øyvind Breivik , Ole Johan Aarnes , Jean-Raymond Bidlot , Ana Carrasco , Øyvind Saetra

Causal effect estimation seeks to determine the impact of an intervention from observational data. However, the existing causal inference literature primarily addresses treatment effects on frequently occurring events. But what if we are…

Machine Learning · Statistics 2025-06-18 Jiyuan Tan , Jose Blanchet , Vasilis Syrgkanis

The Mediterranean is strongly affected by Extreme Precipitation Events (EPEs), sometimes leading to negative impacts on society, economy, and the environment. Understanding such natural hazards and their drivers is essential to mitigate…

Atmospheric and Oceanic Physics · Physics 2021-06-16 Nikolaos Mastrantonas , Pedro Herrera-Lormendez , Linus Magnusson , Florian Pappenberger , Jörg Matschullat

The evaluation of possible climate change consequence on extreme rainfall has significant implications for the design of engineering structure and socioeconomic resources development. While many studies have assessed the impact of climate…

Applications · Statistics 2017-06-02 Poulomi Ganguli , Paulin Coulibaly

One of the commonly used approaches to modeling extremes is the peaks-over-threshold (POT) method. The POT method models exceedances over a threshold that is sufficiently high or low so that the exceedance has approximately a generalized…

Methodology · Statistics 2018-10-05 Whitney K. Huang , Douglas W. Nychka , Hao Zhang

One measurement modality for rainfall is a fixed location rain gauge. However, extreme rainfall, flooding, and other climate extremes often occur at larger spatial scales and affect more than one location in a community. For example, in…

Methodology · Statistics 2024-05-02 Carlynn Fagnant , Julia C. Schedler , Katherine B. Ensor

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

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

We carry out a study of the statistical distribution of rainfall precipitation data for 20 cites in India. We have determined the best-fit probability distribution for these cities from the monthly precipitation data spanning 100 years of…

Applications · Statistics 2018-08-20 Anumandla Sukrutha , Sristi Ram Dyuthi , Shantanu Desai

Generating accurate extremes from an observational data set is crucial when seeking to estimate risks associated with the occurrence of future extremes which could be larger than those already observed. Applications range from the…

Machine Learning · Statistics 2026-02-02 Nicolas Lafon , Philippe Naveau , Ronan Fablet

Aiming to estimate extreme precipitation forecast quantiles, we propose a nonparametric regression model that features a constant extreme value index. Using local linear quantile regression and an extrapolation technique from extreme value…

Methodology · Statistics 2019-03-06 Jasper Velthoen , Juan-Juan Cai , Geurt Jongbloed , Maurice Schmeits

Extreme precipitation is projected to become more frequent and more intense due to climate change and associated thermodynamical effects, but the local response of atmospheric circulation under future climate scenarios remains uncertain due…

In most risk assessment studies, it is important to accurately capture the entire distribution of the multivariate random vector of interest from low to high values. For example, in climate sciences, low precipitation events may lead to…

Data relevant to flood vulnerability is minimal and infrequently collected, if at all, for much of the world. This makes it difficult to highlight areas for humanitarian aid, monitor changes, and support communities in need. It would be…

Extreme precipitation shows non-stationary behavior over time, but also with respect to other large-scale variables. While this effect is often neglected, we propose a model including the influence of North Atlantic Oscillation, time,…

Atmospheric and Oceanic Physics · Physics 2022-11-09 Felix S. Fauer , Henning W. Rust

Groundwater level prediction is an applied time series forecasting task with important social impacts to optimize water management as well as preventing some natural disasters: for instance, floods or severe droughts. Machine learning…

Machine Learning · Computer Science 2022-09-29 Michael Franklin Mbouopda , Thomas Guyet , Nicolas Labroche , Abel Henriot

Two new indicators of rainfall seasonality based on information entropy, the relative entropy (RE) and the dimensionless seasonality index (DSI), together with the mean annual rainfall, are evaluated on a global scale for recently updated…

Atmospheric and Oceanic Physics · Physics 2014-09-02 Salvatore Pascale , Valerio Lucarini , Xue Feng , Amilcare Porporato , Shabeh ul Hasson

This study presents a comprehensive remote sensing analysis of rainfall patterns and selected hydropower reservoir water extent in two tropical monsoon countries, Vietnam and Sri Lanka. The aim is to understand the relationship between…

Machine Learning · Computer Science 2023-10-12 Punsisi Rajakaruna , Surajit Ghosh , Bunyod Holmatov
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