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In this paper we obtain closed expressions for the probability distribution function, when we consider aggregated risks with multivariate dependent Pareto distributions. We work with the dependent multivariate Pareto type II proposed by…

统计方法学 · 统计学 2015-06-02 José María Sarabia , Emilio Gómez-Déniz , Faustino Prieto , Vanesa Jordá

Climate change poses an extreme threat to biodiversity, making it imperative to efficiently model the geographical range of different species. The availability of large-scale remote sensing images and environmental data has facilitated the…

计算机视觉与模式识别 · 计算机科学 2024-12-30 Theresa Chen , Yao-Yi Chiang

Inference in extreme value theory relies on a limited number of extreme observations, making estimation challenging. To address this limitation, we propose a non-parametric simulation scheme, the multivariate extreme events spectral…

统计方法学 · 统计学 2026-04-13 Nisrine Madhar , Juliette Legrand , Maud Thomas

To mitigate the risk posed by extreme rainfall events, we require statistical models that reliably capture extremes in continuous space with dependence. However, assuming a stationary dependence structure in such models is often erroneous,…

应用统计 · 统计学 2019-07-15 K. R. Saunders , A. G. Stephenson , D. J. Karoly

Climate models have become an important tool in the study of climate and climate change, and ensemble experiments consisting of multiple climate-model runs are used in studying and quantifying the uncertainty in climate-model output.…

应用统计 · 统计学 2011-04-15 Stephan R. Sain , Reinhard Furrer , Noel Cressie

In this work, we develop a constructive modeling framework for extreme threshold exceedances in repeated observations of spatial fields, based on general product mixtures of random fields possessing light or heavy-tailed margins and various…

统计方法学 · 统计学 2021-12-20 Rishikesh Yadav , Raphaël Huser , Thomas Opitz

Extreme events with potential deadly outcomes, such as those organized by terror groups, are highly unpredictable in nature and an imminent threat to society. In particular, quantifying the likelihood of a terror attack occurring in an…

应用统计 · 统计学 2021-11-02 Lekha Patel , Lyndsay Shand , J. Derek Tucker , Gabriel Huerta

Max-stable processes have proved to be useful for the statistical modelling of spatial extremes. Several representations of max-stable random fields have been proposed in the literature. For statistical inference it is often assumed that…

统计方法学 · 统计学 2011-07-25 Richard A. Davis , Claudia Klüppelberg , Christina Steinkohl

Recent wildfires in the United States have resulted in loss of life and billions of dollars, destroying countless structures and forests. Fighting wildfires is extremely complex. It is difficult to observe the true state of fires due to…

人工智能 · 计算机科学 2020-10-16 Tina Diao , Samriddhi Singla , Ayan Mukhopadhyay , Ahmed Eldawy , Ross Shachter , Mykel Kochenderfer

In the environmental modeling field, the exploratory analysis of responses often exhibits spatial correlation as well as some non-Gaussian attributes such as skewness and/or heavy-tailedness. Consequently, we propose a general spatial model…

统计理论 · 数学 2019-07-25 Behzad Mahmoudian

With the rapid increase in wildfires in the past decade, it has become necessary to detect and predict these disasters to mitigate losses to ecosystems and human lives. In this paper, we present a novel solution -- Hyper-Drive3D --…

机器人学 · 计算机科学 2024-11-26 Nathaniel Hanson , Sarvesh Prajapati , James Tukpah , Yash Mewada , Taşkın Padır

Risk management in many environmental settings requires an understanding of the mechanisms that drive extreme events. Useful metrics for quantifying such risk are extreme quantiles of response variables conditioned on predictor variables…

机器学习 · 统计学 2024-03-08 Jordan Richards , Raphaël Huser

Spatio-temporal clustering occupies an established role in various fields dealing with geospatial analysis, spanning from healthcare analysis to environmental science. One major challenge are applications in which cluster assignments are…

统计计算 · 统计学 2023-11-09 Ben Moews , Antonia Gieschen

We introduce a statistical model for operational losses based on heavy-tailed distributions and bipartite graphs, which captures the event type and business line structure of operational risk data. The model explicitly takes into account…

风险管理 · 定量金融 2019-02-11 Oliver Kley , Claudia Klüppelberg , Sandra Paterlini

Modelling the extremal dependence structure of spatial data is considerably easier if that structure is stationary. However, for data observed over large or complicated domains, non-stationarity will often prevail. Current methods for…

统计方法学 · 统计学 2021-03-04 Jordan Richards , Jennifer L. Wadsworth

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…

Forest fires pose a natural threat with devastating social, environmental, and economic implications. The rapid and highly uncertain rate of spread of wildfires necessitates a trustworthy digital tool capable of providing real-time…

Simultaneous concurrence of extreme values across multiple climate variables can result in large societal and environmental impacts. Therefore, there is growing interest in understanding these concurrent extremes. In many applications, not…

应用统计 · 统计学 2021-03-16 Whitney K. Huang , Adam H. Monahan , Francis W. Zwiers

Modeling spatial heterogeneity and associated critical transitions remains a fundamental challenge in geography and environmental science. While conventional Geographically Weighted Regression (GWR) and deep learning models have improved…

人工智能 · 计算机科学 2026-04-07 Sooyoung Lim , Zhenlong Li , Zi-Kui Liu

Determining the causes of extreme events is a fundamental question in many scientific fields. An important aspect when modelling multivariate extremes is the tail dependence. In application, the extreme dependence structure may…

统计方法学 · 统计学 2022-12-21 Juraj Bodik , Linda Mhalla , Valérie Chavez-Demoulin