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Statistical analysis of max-stable processes used to model spatial extremes has been limited by the difficulty in calculating the joint likelihood function. This precludes all standard likelihood-based approaches, including Bayesian…

统计计算 · 统计学 2011-12-14 Robert J. Erhardt , Richard L. Smith

Demands on the disaster response capacity of the European Union are likely to increase, as the impacts of disasters continue to grow both in size and frequency. This has resulted in intensive research on issues concerning spatially-explicit…

计算工程、金融与科学 · 计算机科学 2014-09-30 Dario Rodriguez-Aseretto , Christian Schaerer , Daniele de Rigo

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…

统计方法学 · 统计学 2016-03-17 Thomas Lugrin , Anthony C. Davison , Jonathan A. Tawn

This paper introduces a Bayesian hierarchical modeling framework within a fully probabilistic setting for crop yield estimation, model selection, and uncertainty forecasting under multiple future greenhouse gas emission scenarios. By…

应用统计 · 统计学 2025-07-30 Dan Li , Vassili Kitsios , David Newth , Terence John O'Kane

Simulation of rainfall over a region for long time-sequences can be very useful for planning and policy-making, especially in India where the economy is heavily reliant on monsoon rainfall. However, such simulations should be able to…

应用统计 · 统计学 2017-09-04 Adway Mitra

We analyse the probability densities of daily rainfall amounts at a variety of locations on the Earth. The observed distributions of the amount of rainfall fit well to a q-exponential distribution with exponent q close to q=1.3. We discuss…

统计力学 · 物理学 2016-03-10 G. Cigdem Yalcin , Pau Rabassa , Christian Beck

Spatial connectivity is an important consideration when modelling infectious disease data across a geographical region. Connectivity can arise for many reasons, including shared characteristics between regions, and human or vector movement.…

统计方法学 · 统计学 2022-06-06 Sophie A Lee , Theodoros Economou , Rachel Lowe

Road casualties represent an alarming concern for modern societies. During the last years, several authors proposed sophisticated approaches to help authorities implement new policies. These models were usually developed considering a set…

应用统计 · 统计学 2023-07-06 Andrea Gilardi , Riccardo Borgoni , Luca Presicce , Jorge Mateu

This work develops a block aggregation approach to spatial estimation and prediction when the response is observed at a coarse spatial scale, for example as counts of events in administrative areas, or blocks, while covariates are available…

Weather extremes are a major societal and economic hazard, claiming thousands of lives and causing billions of dollars in damage every year. Under climate change, their impact and intensity are expected to worsen significantly.…

机器学习 · 计算机科学 2022-10-24 Antoine Blanchard , Nishant Parashar , Boyko Dodov , Christian Lessig , Themistoklis Sapsis

Global warming is projected to intensify the hydrological cycle, amplifying risks to ecosystems and society. While extreme rainfall appears to exhibit stronger sensitivity to global warming compared to mean rainfall rates, a unifying…

大气与海洋物理 · 物理学 2026-01-13 Jun Yin , Bei Gao , Amilcare Porporato

The generalized exponential distribution is a well-known probability model in lifetime data analysis and several other research areas, including precipitation modeling. Despite having broad applications for independently and identically…

应用统计 · 统计学 2025-11-10 Arijit Dey , Arnab Hazra

In many applied fields it is desired to make predictions with the aim of assessing the plausibility of more severe events than those already recorded to safeguard against calamities that have not yet occurred. This problem can be analysed…

统计方法学 · 统计学 2023-11-21 S. A. Padoan , Stefano Rizzelli

The generalized extreme value (GEV) distribution is a popular model for analyzing and forecasting extreme weather data. To increase prediction accuracy, spatial information is often pooled via a latent Gaussian process (GP) on the GEV…

统计方法学 · 统计学 2024-05-20 Meixi Chen , Reza Ramezan , Martin Lysy

Conditional independence, graphical models and sparsity are key notions for parsimonious statistical models and for understanding the structural relationships in the data. The theory of multivariate and spatial extremes describes the risk…

统计理论 · 数学 2019-11-14 Sebastian Engelke , Adrien S. Hitz

The conditional extremes framework allows for event-based stochastic modeling of dependent extremes, and has recently been extended to spatial and spatio-temporal settings. After standardizing the marginal distributions and applying an…

统计方法学 · 统计学 2024-03-26 Emma S. Simpson , Thomas Opitz , Jennifer L. Wadsworth

Risk management is particularly concerned with extreme events, but analysing these events is often hindered by the scarcity of data, especially in a multivariate context. This data scarcity complicates risk management efforts. Various tools…

统计方法学 · 统计学 2026-01-15 Nisrine Madhar , Juliette Legrand , Maud Thomas

Self-exciting spatiotemporal Hawkes processes have found increasing use in the study of large-scale public health threats ranging from gun violence and earthquakes to wildfires and viral contagion. Whereas many such applications feature…

统计方法学 · 统计学 2021-07-14 Andrew J. Holbrook , Xiang Ji , Marc A. Suchard

With a changing climate, the frequency and intensity of extreme weather events are likely to increase, posing a threat to infrastructure systems' resilience. The response of infrastructure systems to localised failures depends on whether…

系统与控制 · 电气工程与系统科学 2022-11-21 Qianqian Li , Giuliano Punzo , Craig Robson , Hadi Arbabi , Martin Mayfield

Recent advances in AI-based weather prediction have led to the development of artificial intelligence weather prediction (AIWP) models with competitive forecast skill compared to traditional NWP models, but with substantially reduced…

大气与海洋物理 · 物理学 2025-10-30 Nicholas Loveday , Tracy Hertneky
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