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In this work, an analysis of multifractal parameters of daily precipitation series over the Iberian Peninsula was performed in two 30-year periods to explore whether these properties follow any pattern. Fluctuations of precipitation series…

Atmospheric and Oceanic Physics · Physics 2023-11-20 J. Gomez-Gomez , R. Carmona-Cabezas , E. Sanchez-Lopez , E. Gutierrez de Rave , F. J. Jimenez-Hornero

A proper channel modeling methodology that characterizes the statistics of extreme events is key in the design of a system at an ultra-reliable regime of operation. The strict constraint of ultra-reliability corresponds to the packet error…

Signal Processing · Electrical Eng. & Systems 2024-01-12 Niloofar Mehrnia , Sinem Coleri

Modeling rainfall intensity distributions across aggregation scales (from sub-hourly to weekly) is essential for hydrological risk analysis and IDF curves. Aggregation naturally imposes mathematical constraints: return levels must be…

Applications · Statistics 2026-01-14 Pierre Ailliot , Carlo Gaetan , Philippe Naveau

Climate extremes such as floods, storms, and heatwaves have caused severe economic and human losses across Europe in recent decades. To support the European Union's climate resilience efforts, we propose a statistical framework for…

Applications · Statistics 2025-05-26 Carlotta Pacifici , Simone A. Padoan , Jaroslav Mysiak

We aim to analyze the behaviour of a finite-time stochastic system, whose model is not available, in the context of more rare and harmful outcomes. Standard estimators are not effective in making predictions about such outcomes due to their…

Methodology · Statistics 2022-07-29 Evan Arsenault , Yuheng Wang , Margaret P. Chapman

The paper presents improved mathematical models and methods for statistical regularities in the behavior of some important characteristics of precipitation: duration of a wet period, maximum daily and total precipitation volumes within a…

Statistics Theory · Mathematics 2019-02-01 Victor Korolev , Andrey Gorshenin

We analyse the probability densities of daily rainfall amounts at a variety of locations on the Earth. The observed distributions of the amount of rainfall fit well to a q-exponential distribution with exponent q close to q=1.3. We discuss…

Statistical Mechanics · Physics 2016-03-10 G. Cigdem Yalcin , Pau Rabassa , Christian Beck

The prevailing approaches for ET retrievals are either limited in spatiotemporal coverage or largely influenced by choice of input data or simplified model physics, or a combination thereof. Here, using an independent mass conservation…

Although the fundamental probabilistic theory of extremes has been well developed, there are many practical considerations that must be addressed in application. The contribution of this thesis is four-fold. The first concerns the choice of…

Methodology · Statistics 2016-11-28 Brian Bader

Modelling block maxima using the generalised extreme value (GEV) distribution is a classical and widely used method for studying univariate extremes. It allows for theoretically motivated estimation of return levels, including extrapolation…

Methodology · Statistics 2026-02-02 Emma S. Simpson , Paul J. Northrop

We present a generic and powerful approach to study the statistics of extreme phenomena (meteorology, finance, biology...) that we apply to the statistical estimation of the tail of the distribution of earthquake sizes. The chief innovation…

Geophysics · Physics 2008-05-13 V. F. Pisarenko , A. Sornette , D. Sornette , M. V. Rodkin

The forecast on a time scale of 1 or 2 hours is crucial for all kind of new generation facilities (ELTs) instrumentation supported by the adaptive optics that will be mainly operated in Service Mode. In a recent study (Masciadri et al.…

Instrumentation and Methods for Astrophysics · Physics 2023-08-08 Elena Masciadri , Alessio Turchi , Luca Fini

Intense precipitation events are commonly known to be associated with an increased risk of flooding. As a result of the societal and infrastructural risks linked with flooding, extremes of precipitation require careful modelling. Extreme…

Applications · Statistics 2017-10-06 Paul Sharkey , Hugo C. Winter

Deep Learning (DL) has shown promise for downscaling global climate change projections under different approaches, including Perfect Prognosis (PP) and Regional Climate Model (RCM) emulation. Unlike emulators, PP downscaling models are…

Atmospheric and Oceanic Physics · Physics 2025-09-23 Jose González-Abad , José Manuel Gutiérrez

In this work, we use two decadal sunspot number series reconstructed from cosmogenic radionuclide data (14C in tree trunks, SN-14C and 10Be in polar ice, SN-10Be) and the Extreme Value Theory to study variability of solar activity during…

Solar and Stellar Astrophysics · Physics 2018-01-31 F. J. Acero , M. C. Gallego , J. A. García , I. G. Usoskin , J. M. Vaquero

The extreme value index is a fundamental parameter in univariate Extreme Value Theory (EVT). It captures the tail behavior of a distribution and is central in the extrapolation beyond observed data. Among other semi-parametric methods (such…

Statistics Theory · Mathematics 2017-05-02 Clément Dombry , Ana Ferreira

We present a novel statistical treatment, the "metastatistics of extreme events", for calculating the frequency of extreme events. This approach, which is of general validity, is the proper statistical framework to address the problem of…

Applications · Statistics 2012-11-14 Massimiliano Ignaccolo , Marco Marani

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

Accurate estimation of global terrestrial evapotranspiration (ET) is essential to understanding changes in the water cycle, which are expected to intensify in the context of climate change. Current global ET products are derived from…

Atmospheric and Oceanic Physics · Physics 2023-09-14 Haiyang Shi

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…