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Understanding the dynamics of climate extreme is important in its prediction and modeling. In this study, linear trends in percentile, threshold, absolute, and duration based temperature and precipitation extremes indicator were obtained…

Atmospheric and Oceanic Physics · Physics 2019-09-09 Ibiyinka Fuwape , Sunday Oluyamo , Babatunde Rabiu , Samuel Ogunjo

Extreme values of real phenomena are events that occur with low frequency, but can have a large impact on real life. These are, in many practical problems, high-dimensional by nature (e.g. Tawn, 1990; Coles and Tawn, 1991). To study these…

Methodology · Statistics 2015-08-25 Boris Beranger , Simone A. Padoan

This paper is concerned with modeling the dependence structure of two (or more) time-series in the presence of a (possible multivariate) covariate which may include past values of the time series. We assume that the covariate influences…

Statistics Theory · Mathematics 2018-12-11 Natalie Neumeyer , Marek Omelka , Sarka Hudecova

Climate change is a non-uniform phenomenon. This paper proposes a new quantitative methodology to characterize, measure, and test the existence of climate change heterogeneity. It consists of three steps. First, we introduce a new testable…

Econometrics · Economics 2023-01-09 Maria Dolores Gadea , Jesus Gonzalo

Multivariate extreme value distributions are a common choice for modelling multivariate extremes. In high dimensions, however, the construction of flexible and parsimonious models is challenging. We propose to combine bivariate max-stable…

Methodology · Statistics 2024-12-25 Shuang Hu , Zuoxiang Peng , Johan Segers

The possibilities of the use of the coefficient of variation over a high threshold in tail modelling are discussed. The paper also considers multiple threshold tests for a generalized Pareto distribution, together with a threshold selection…

Statistics Theory · Mathematics 2015-10-02 J. Castillo , M. Padilla

In this article we show the relationship between the Pareto distribution and the gamma distribution. This shows that the second one, appropriately extended, explains some anomalies that arise in the practical use of extreme value theory.…

Statistics Theory · Mathematics 2012-11-02 Joan del castillo , Jalila Daoudi , Isabel Serra

Event attribution in the context of climate change seeks to understand the role of anthropogenic greenhouse gas emissions on extreme weather events, either specific events or classes of events. A common approach to event attribution uses…

Methodology · Statistics 2018-02-06 Christopher J. Paciorek , Dáithí A. Stone , Michael F. Wehner

When modeling multivariate phenomena, properly capturing the joint extremal behavior is often one of the many concerns. Archimax copulas appear as successful candidates in case of asymptotic dependence. In this paper, the class of Archimax…

Statistics Theory · Mathematics 2025-01-23 Simon Chatelain , Samuel Perreault , Johanna G. Nešlehová , Anne-Laure Fougères

The ocean wave distribution in a specific region of space and time is described by its sea state. Knowledge about the sea states a ship encounters on a journey can be used to assess various parameters of risk and wear associated with the…

Applications · Statistics 2019-06-04 Anders Hildeman , David Bolin , Igor Rychlik

Atmospheric blocking events are quasi-stationary high-pressure systems that disrupt the typical paths of polar and subtropical air currents, often producing prolonged extreme weather events such as summer heat waves or winter cold spells.…

Graphics · Computer Science 2026-01-05 Mingzhe Li , Peer Nowack , Bei Wang

Environmental phenomena are influenced by complex interactions among various factors. For instance, the amount of rainfall measured at different stations within a given area is shaped by atmospheric conditions, orography, and physics of…

Applications · Statistics 2025-01-16 Paolo Onorati , Antonio Canale

The apparantly irregular (unpredictable) space-time fluctuations in atmospheric flows ranging from climate (thousands of kilometers - years) to turbulence (millimeters - seconds) exhibit the universal symmetry of self-similarity.…

General Physics · Physics 2007-05-23 J. S. Pethkar , A. M. Selvam

Extreme values modeling has attracting the attention of researchers in diverse areas such as the environment, engineering, or finance. Multivariate extreme value distributions are particularly suitable to model the tails of multidimensional…

Statistics Theory · Mathematics 2017-01-16 Helena Ferreira , Marta Ferreira

The modelling of multivariate extreme events is important in a wide variety of applications, including flood risk analysis, metocean engineering and financial modelling. A wide variety of statistical techniques have been proposed in the…

Methodology · Statistics 2025-09-16 Callum John Rowlandson Murphy-Barltrop , Ed Mackay , Philip Jonathan

Distributions of wave characteristics of ocean waves, such as wave slope, waveheight or wavelength, are an important tool in a variety of oceanographic applications such as safety of ocean structures or in the study of ship stability, as…

Probability · Mathematics 2008-12-18 Sofia Aberg , Igor Rychlik , M. Ross Leadbetter

When assessing the impact of extreme events, it is often not just a single component, but the combined behaviour of several components which is important. Statistical modelling using multivariate generalized Pareto (GP) distributions…

Methodology · Statistics 2018-02-07 Anna Kiriliouk , Holger Rootzén , Johan Segers , Jennifer L. Wadsworth

Atmospheric flows exhibit fluctuations of all scales (space -time) ranging from turbulence (millimeters-seconds) to climate (thousands of kilometers-years). The apparently random fluctuations however exhibit long-range spatio-temporal…

chao-dyn · Physics 2009-09-25 Suvarna Fadnavis , A. M. Selvam

Physical understanding of how the interplay between symmetries and nonlinear effects can control the scaling and multiscaling properties in a coupled driven system, such as magnetohydrodynamic turbulence or turbulent binary fluid mixtures,…

Statistical Mechanics · Physics 2021-03-23 Sudip Mukherjee , Abhik Basu

In this work, we propose a simulation-based estimation approach using generative neural networks to determine dependencies of precipitation maxima and their underlying uncertainty in time and space. Within the common framework of max-stable…

Machine Learning · Statistics 2026-05-01 Christopher Bülte , Lisa Leimenstoll , Melanie Schienle
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