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We present a new approach to modeling the future development of extreme temperatures globally and on a long time-scale by using non-stationary generalized extreme value distributions in combination with logistic functions. This approach is…

大气与海洋物理 · 物理学 2022-07-28 Justus Contzen , Thorsten Dickhaus , Gerrit Lohmann

Complex systems span multiple spatial and temporal scales, making their dynamics challenging to understand and predict. This challenge is especially daunting when one wants to study localized and/or rare events. Advances in dynamical…

大气与海洋物理 · 物理学 2025-09-22 Chenyu Dong , Gabriele Messori , Davide Faranda , Adriano Gualandi , Valerio Lucarini , Gianmarco Mengaldo

Modeling the evolution of high-dimensional systems from limited snapshot observations at irregular time points poses a significant challenge in quantitative biology and related fields. Traditional approaches often rely on dimensionality…

机器学习 · 计算机科学 2025-08-07 Justin Lee , Behnaz Moradijamei , Heman Shakeri

Nonstationary Gaussian process models can capture complex spatially varying dependence structures in spatial datasets. However, the large number of observations in modern datasets makes fitting such models computationally intractable with…

统计计算 · 统计学 2022-06-13 Paul G. Beckman , Christopher J. Geoga , Michael L. Stein , Mihai Anitescu

nsEVDx is an open-source Python package for fitting stationary and nonstationary Extreme Value Distributions (EVDs) to extreme value data. It can be used to model extreme events in fields like hydrology, climate science, finance, and…

统计计算 · 统计学 2025-09-10 Nischal Kafle , Claudio I. Meier

Multivariate extreme value statistical analysis is concerned with observations on several variables which are thought to possess some degree of tail-dependence. In areas such as the modeling of financial and insurance risks, or as the…

应用统计 · 统计学 2014-12-31 Alexis Bienvenüe , Christian Y. Robert

Missing data and noisy observations pose significant challenges for reliably predicting events from irregularly sampled multivariate time series (longitudinal) data. Imputation methods, which are typically used for completing the data prior…

机器学习 · 统计学 2017-08-17 Hossein Soleimani , James Hensman , Suchi Saria

Spatio-temporal prediction of levels of an environmental exposure is an important problem in environmental epidemiology. Our work is motivated by multiple studies on the spatio-temporal distribution of mobile source, or traffic related,…

应用统计 · 统计学 2014-11-14 Nikolay Bliznyuk , Christopher J. Paciorek , Joel Schwartz , Brent Coull

Statistical modelling of spatial extreme events has gained increasing attention over the last few decades with max-stable processes, and more recently $r$-Pareto processes, becoming the reference tools for the statistical analysis of…

统计方法学 · 统计学 2025-06-02 Peng Zhong , Scott A. Sisson , Boris Beranger

Environmental and climate processes are often distributed over large space-time domains. Their complexity and the amount of available data make modelling and analysis a challenging task. Statistical modelling of environment and climate data…

统计方法学 · 统计学 2019-10-02 Behnaz Pirzamanbein

A central area of research in nonlinear science is the study of instabilities that drive the emergence of extreme events. Unfortunately, experimental techniques for measuring such phenomena often provide only partial characterization. For…

计算物理 · 物理学 2018-06-19 Mikko Närhi , Lauri Salmela , Juha Toivonen , Cyril Billet , John M. Dudley , Goëry Genty

We proposed a semi-parametric estimation procedure in order to estimate the parameters of a max-mixture model and also of a max-stable model (inverse max-stable model) as an alternative to composite likelihood. A good estimation by the…

统计理论 · 数学 2017-12-06 M. Ahmed , V Maume-Deschamps , P. Ribereau , C. Vial

Extreme weather events have significant consequences, dominating the impact of climate on society. While high-resolution weather models can forecast many types of extreme events on synoptic timescales, long-term climatological risk…

大气与海洋物理 · 物理学 2023-01-25 Justin Finkel , Edwin P. Gerber , Dorian S. Abbot , Jonathan Weare

Statistical methods are proposed to select homogeneous locations when analyzing spatial block maxima data, such as in extreme event attribution studies. The methods are based on classical hypothesis testing using Wald-type test statistics,…

统计方法学 · 统计学 2023-01-18 Leandra Zanger , Axel Bücher , Frank Kreienkamp , Philip Lorenz , Jordis Tradowsky

Spatiotemporal simulation of minimum and maximum temperature is a fundamental requirement for climate impact studies and hydrological or agricultural models. Particularly over regions with variable orography, these simulations are difficult…

应用统计 · 统计学 2013-06-03 William Kleiber , Richard W. Katz , Balaji Rajagopalan

Precipitation is a complex physical process that varies in space and time. Predictions and interpolations at unobserved times and/or locations help to solve important problems in many areas. In this paper, we present a hierarchical Bayesian…

应用统计 · 统计学 2013-01-17 Fabio Sigrist , Hans R. Künsch , Werner A. Stahel

In many applications of time series models, such as climate analysis and social media analysis, we are often interested in extreme events, such as heatwave, wind gust, and burst of topics. These time series data usually exhibit a…

统计方法学 · 统计学 2012-06-22 Yan Liu , Taha Bahadori , Hongfei Li

Many spatial processes exhibit nonstationary features. We estimate a variance function from a single process observation where the errors are nonstationary and correlated. We propose a difference-based approach for a one-dimensional…

统计方法学 · 统计学 2016-05-24 Eunice J. Kim , Zhengyuan Zhu

Multivariate spatial modeling is key to understanding the behavior of materials downstream in a mining operation. The ore recovery depends on the mineralogical composition, which needs to be properly captured by the model to allow for good…

应用统计 · 统计学 2023-10-03 Alvaro I. Riquelme , Julian M. Ortiz

Atmospheric models used for weather and climate prediction are traditionally formulated in a deterministic manner. In other words, given a particular state of the resolved scale variables, the most likely forcing from the sub-grid scale…

机器学习 · 计算机科学 2024-02-16 Hannah M. Christensen , Salah Kouhen , Greta Miller , Raghul Parthipan
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