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The covXtreme software provides functionality for estimation of marginal and conditional extreme value models, non-stationary with respect to covariates, and environmental design contours. Generalised Pareto (GP) marginal models of peaks…

统计方法学 · 统计学 2024-04-26 Ross Towe , Emma Ross , David Randell , Philip Jonathan

Models for extreme values accommodating non-stationarity have been amply studied and evaluated from a parametric perspective. Whilst these models are flexible, in the sense that many parametrizations can be explored, they assume an…

应用统计 · 统计学 2022-02-16 Evandro Konzen , Claudia Neves , Philip Jonathan

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…

Numerous approaches are proposed in the literature for non-stationarity marginal extreme value inference, including different model parameterisations with respect to covariate, and different inference schemes. The objective of this article…

应用统计 · 统计学 2022-02-16 Matthew Jones , David Randell , Kevin Ewans , Philip Jonathan

The paper introduces a new regression model designed for situations where both the response and covariates are non-stationary extremes. This method is specifically designed for situations where both the response variable and covariates are…

统计方法学 · 统计学 2025-06-26 Amina El Bernoussi , Mohamed El Arrouchi

Projections of storm surge return levels are a basic requirement for effective management of coastal risks. A common approach to estimate hazards posed by extreme sea levels is to use a statistical model, which may use a time series of a…

应用统计 · 统计学 2018-08-28 Tony E. Wong

A recent development in extreme value modeling uses the geometry of the dataset to perform inference on the multivariate tail. A key quantity in this inference is the gauge function, whose values define this geometry. Methodology proposed…

统计方法学 · 统计学 2025-07-23 Ryan Campbell , Jennifer Wadsworth

We propose a novel approach for change-point detection and parameter learning in multivariate non-stationary time series exhibiting oscillatory behaviour. We approximate the process through a piecewise function defined by a sum of…

统计方法学 · 统计学 2026-02-02 Nicolas Bianco , Lorenzo Cappello

We consider a flexible semiparametric quantile regression model for analyzing high dimensional heterogeneous data. This model has several appealing features: (1) By considering different conditional quantiles, we may obtain a more complete…

统计理论 · 数学 2016-01-25 Ben Sherwood , Lan Wang

Appropriate modelling of extreme skew surges is crucial, particularly for coastal risk management. Our study focuses on modelling extreme skew surges along the French Atlantic coast, with a particular emphasis on investigating the extremal…

应用统计 · 统计学 2026-05-07 Nathan Huet , Philippe Naveau , Anne Sabourin

Penalized estimation principle is fundamental to high-dimensional problems. In the literature, it has been extensively and successfully applied to various models with only structural parameters. As a contrast, in this paper, we apply this…

统计理论 · 数学 2017-08-03 Jianqing Fan , Runlong Tang , Xiaofeng Shi

Precipitation exceedance probabilities are widely used in engineering design, risk assessment, and floodplain management. While common approaches like NOAA Atlas 14 assume that extreme precipitation characteristics are stationary over time,…

应用统计 · 统计学 2025-02-05 Yuchen Lu , Ben Seiyon Lee , James Doss-Gollin

The study of multivariate extremes is dominated by multivariate regular variation, although it is well known that this approach does not provide adequate distinction between random vectors whose components are not always simultaneously…

统计理论 · 数学 2021-08-17 Natalia Nolde , Jennifer L. Wadsworth

Mixed-effect models are very popular for analyzing data with a hierarchical structure, e.g. repeated observations within subjects in a longitudinal design, patients nested within centers in a multicenter design. However, recently, due to…

统计方法学 · 统计学 2019-05-09 Abhik Ghosh , Magne Thoresen

This paper introduces a high-dimensional binary variate model that accommodates nonstationary covariates and factors, and studies their asymptotic theory. This framework encompasses scenarios where single indices are nonstationary or…

统计理论 · 数学 2025-05-29 Xinbing Kong , Bin Wu , Wuyi Ye

Projections of extreme sea levels (ESLs) are critical for managing coastal risks, but are made complicated by deep uncertainties. One key uncertainty is the choice of model structure used to estimate coastal hazards. Differences in model…

数据分析、统计与概率 · 物理学 2020-06-15 Tony E. Wong , Travis Torline , Mingxuan Zhang

We discuss a general Bayesian framework on modeling multidimensional function-valued processes by using a Gaussian process or a heavy-tailed process as a prior, enabling us to handle nonseparable and/or nonstationary covariance structure.…

统计方法学 · 统计学 2020-07-29 Evandro Konzen , Jian Qing Shi , Zhanfeng Wang

Max-stable processes are natural models for spatial extremes because they provide suitable asymptotic approximations to the distribution of maxima of random fields. In the recent past, several parametric families of stationary max-stable…

统计方法学 · 统计学 2016-02-22 Raphael Huser , Marc G. Genton

Estimating the parameters of max-stable parametric models poses significant challenges, particularly when some parameters lie on the boundary of the parameter space. This situation arises when a subset of variables exhibits extreme values…

统计方法学 · 统计学 2026-04-08 Anas Mourahib , Anna Kiriliouk , Johan Segers

Modeling the temporal behavior of data is of primordial importance in many scientific and engineering fields. Baseline methods assume that both the dynamic and observation equations follow linear-Gaussian models. However, there are many…

机器学习 · 计算机科学 2020-11-03 Xavier Alameda-Pineda , Vincent Drouard , Radu Horaud
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