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Related papers: Analysis of temporal properties of wind extremes

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The statistical theory of extremes is extended to observations that are non-stationary and not independent. The non-stationarity over time and space is controlled via the scedasis (tail scale) in the marginal distributions. Spatial…

Statistics Theory · Mathematics 2020-03-10 John H. J. Einmahl , Ana Ferreira , Laurens de Haan , Claudia Neves , Chen Zhou

The nature of the magnetic field fluctuations in the solar wind between the ion and electron scales is still under debate. Using the Cluster/STAFF instrument, we make a survey of the power spectral density and of the polarization of these…

Both marginal and dependence features must be described when modelling the extremes of a stationary time series. There are standard approaches to marginal modelling, but long- and short-range dependence of extremes may both appear. In…

Methodology · Statistics 2016-03-17 Thomas Lugrin , Anthony C. Davison , Jonathan A. Tawn

The effect of turbulence on snow precipitation is not incorporated into present weather forecasting models. Here we show evidence that turbulence is in fact a key influence on both fall speed and spatial distribution of settling snow. We…

A nonanticipative analog method is used for the long-term forecast of air temperature extremes. The data to be used for prediction include average daily air temperature, mean visibility, mean wind speed, mean dew point, maximum and minimum…

Applications · Statistics 2015-07-14 Dmytro Zubov , Humberto A. Barbosa , Gregory S. Duane

We re-consider Leadbetter's extremal index for stationary sequences. It has interpretation as reciprocal of the expected size of an extremal cluster above high thresholds. We focus on heavy-tailed time series, in particular on regularly…

Probability · Mathematics 2021-06-10 Gloria Buriticá , Meyer Nicolas , Thomas Mikosch , Olivier Wintenberger

Understanding the complex structure of multivariate extremes is a major challenge in various fields from portfolio monitoring and environmental risk management to insurance. In the framework of multivariate Extreme Value Theory, a common…

Machine Learning · Statistics 2021-02-09 Hamid Jalalzai , Rémi Leluc

In environmental science applications, extreme events frequently exhibit a complex spatio-temporal structure, which is difficult to describe flexibly and estimate in a computationally efficient way using state-of-art parametric…

Methodology · Statistics 2022-12-22 Marco Oesting , Raphaël Huser

The persistence over space and time of flash flood disasters -- flash floods that have caused either economical or life losses, or both -- is a diagnostic measure of areas subjected to hydrological risk. The concept of persistence can be…

Applications · Statistics 2021-07-28 Nan Wang , Luigi Lombardo , Marj Tonini , Weiming Cheng , Liang Guo , Junnan Xiong

The increasing occurrence of extreme weather events since the beginning of the 21st century has led to the development of new methods to attribute extreme events to anthropogenic climate change. The way in which the extreme event is defined…

Atmospheric and Oceanic Physics · Physics 2026-05-25 Pascal Meurer , Sebastian Buschow , Svenja Szemkus , Petra Friederichs

We consider many-particle diffusion in one spatial dimension modeled as Random Walks in a Random Environment (RWRE). A shared short-range space-time random environment determines the jump distributions that drive the motion of the…

Statistical Mechanics · Physics 2024-06-26 Jacob Hass , Hindy Drillick , Ivan Corwin , Eric Corwin

We consider a stationary random field indexed by an increasing sequence of subsets of $\mathbb{Z}^d$ obeying a very broad geometrical assumption on how the sequence expands. Under certain mixing and local conditions, we show how the tail…

Probability · Mathematics 2022-01-19 Anders Rønn-Nielsen , Mads Stehr

The control and risk assessment in complex information systems require to take into account extremes arising from nodes with large node degrees. Various sampling techniques like a Page Rank random walk, a Metropolis-Hastings Markov chain…

Statistics Theory · Mathematics 2015-02-18 Natalia Markovich

Extreme space weather events on Earth occur during intervals of strong solar wind driving. The solar wind drives plasma convection and currents in the near-Earth space environment. For low values of the driver, the Earth's response is…

Hourly rainfall extremes cause some of the most destructive weather disasters, yet numerical weather prediction models still struggle to forecast them, and a physical basis for their predictability remains unclear. Here, we identify a…

Atmospheric and Oceanic Physics · Physics 2026-03-26 Bijit Kumar Banerjee , Devabrat Sharma , Mahen Konwar , Simanta Das , Utpal Sarma , B. N. Goswami

Novel results which reveal phase transition processes in the solar wind plasma during shock events are presented in this study which is the first part of a trilogy concerning the solar wind complexity. Solar wind plasma is a typical case of…

Modelling the intermittency of wind speed has got significant relevance on many fields, including wind power generation and distribution. Most of the available modelling techniques assume the temporal fluctuations in the wind is stochastic…

Atmospheric and Oceanic Physics · Physics 2022-04-15 G V Drisya , Alex Thumba

When a spatial process is recorded over time and the observation at a given time instant is viewed as a point in a function space, the result is a time series taking values in a Banach space. To study the spatio-temporal extremal dynamics…

Probability · Mathematics 2010-01-20 Thomas Meinguet , Johan Segers

We propose a spectral clustering algorithm for analyzing the dependence structure of multivariate extremes. More specifically, we focus on the asymptotic dependence of multivariate extremes characterized by the angular or spectral measure…

Machine Learning · Statistics 2023-08-02 Marco Avella Medina , Richard A. Davis , Gennady Samorodnitsky

The conditional extremes (CE) framework has proven useful for analysing the joint tail behaviour of random vectors. However, when applied across many locations or variables, it can be difficult to interpret or compare the resulting extremal…

Methodology · Statistics 2025-10-24 Patrick O'Toole , Christian Rohrbeck , Jordan Richards