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When a latent shoeprint is discovered at a crime scene, forensic analysts inspect it for distinctive patterns of wear such as scratches and holes (known as accidentals) on the source shoe's sole. If its accidentals correspond to those of a…

应用统计 · 统计学 2020-02-28 Neil A. Spencer , Jared S. Murray

We present a novel statistical treatment, the "metastatistics of extreme events", for calculating the frequency of extreme events. This approach, which is of general validity, is the proper statistical framework to address the problem of…

应用统计 · 统计学 2012-11-14 Massimiliano Ignaccolo , Marco Marani

The task of simplifying the complex spatio-temporal variables associated with climate modeling is of utmost importance and comes with significant challenges. In this research, our primary objective is to tailor clustering techniques to…

应用统计 · 统计学 2023-11-21 Alexis Boulin , Elena Di Bernardino , Thomas Laloë , Gwladys Toulemonde

We propose a framework for studying predictability of extreme events in complex systems. Major conceptual elements -- direct cascading or fragmentation, spatial dynamics, and external driving -- are combined in a classical age-dependent…

适应与自组织系统 · 物理学 2007-08-14 Andrei Gabrielov , Vladimir Keilis-Borok , Ilya Zaliapin

To accurately quantify landslide hazard in a region of Turkey, we develop new marked point process models within a Bayesian hierarchical framework for the joint prediction of landslide counts and sizes. To accommodate for the dominant role…

统计方法学 · 统计学 2022-05-23 Rishikesh Yadav , Raphaël Huser , Thomas Opitz , Luigi Lombardo

The last decade has seen max-stable processes emerge as a common tool for the statistical modeling of spatial extremes. However, their application is complicated due to the unavailability of the multivariate density function, and so…

统计方法学 · 统计学 2009-02-23 Simone A. Padoan , Mathieu Ribatet , Scott A. Sisson

We develop Bayesian nonparametric models for spatially indexed data of mixed type. Our work is motivated by challenges that occur in environmental epidemiology, where the usual presence of several confounding variables that exhibit complex…

统计方法学 · 统计学 2014-10-17 Georgios Papageorgiou , Sylvia Richardson , Nicky Best

Landslides are nearly ubiquitous phenomena and pose severe threats to people, properties, and the environment. Investigators have for long attempted to estimate landslide hazard to determine where, when, and how destructive landslides are…

应用统计 · 统计学 2019-12-04 Luigi Lombardo , Thomas Opitz , Francesca Ardizzone , Fausto Guzzetti , Raphaël Huser

Robust sensing and perception in adverse weather conditions remain one of the biggest challenges for realizing reliable autonomous vehicle mobility services. Prior work has established that rainfall rate is a useful measure for the…

信号处理 · 电气工程与系统科学 2022-04-26 Robin Karlsson , David Robert Wong , Kazunari Kawabata , Simon Thompson , Naoki Sakai

Improving the representation of precipitation in Earth system models (ESMs) is critical for assessing the impacts of climate change and especially of extreme events like floods and droughts. In existing ESMs, precipitation is not resolved…

机器学习 · 计算机科学 2026-05-27 Michael Aich , Sebastian Bathiany , Philipp Hess , Yu Huang , Niklas Boers

Spatial statistical models are commonly used in geographical scenarios to ensure spatial variation is captured effectively. However, spatial models and cluster algorithms can be complicated and expensive. This paper pursues three main…

统计方法学 · 统计学 2023-11-22 Wala Draidi Areed , Aiden Price , Helen Thompson , Conor Hassan , Reid Malseed , Kerrie Mengersen

Modelling dependencies between climate extremes is important for climate risk assessment, for instance when allocating emergency management funds. In statistics, multivariate extreme value theory is often used to model spatial extremes.…

There is a propensity for an extreme value analyses to be conducted as a consequence of the occurrence of a large flooding event. This timing of the analysis introduces bias and poor coverage probabilities into the associated risk…

应用统计 · 统计学 2021-07-02 Anna Maria Barlow , Chris Sherlock , Jonathan Tawn

Electricity networks are vulnerable to weather damage, with severe events often leading to faults and power outages. Timely forecasts of fault occurrences, ranging from nowcasts to several days ahead, can enhance preparedness, support…

应用统计 · 统计学 2026-03-03 Mateus Maia , Daniela Castro-Camilo , Jethro Browell

By the nature of their construction, many statistical models for extremes result in likelihood functions that are computationally prohibitive to evaluate. This is consequently problematic for the purposes of likelihood-based inference. With…

统计方法学 · 统计学 2014-11-07 Robert Erhardt , Scott A. Sisson

Estimation of extreme quantile regions, spaces in which future extreme events can occur with a given low probability, even beyond the range of the observed data, is an important task in the analysis of extremes. Existing methods to estimate…

统计方法学 · 统计学 2020-10-28 Boris Beranger , Simone A. Padoan , Scott A. Sisson

Conformal prediction is a popular method to construct prediction intervals with marginal coverage guarantees from black-box machine learning models. In applications with potentially high-impact events, such as flooding or financial crises,…

统计方法学 · 统计学 2026-04-02 Olivier C. Pasche , Henry Lam , Sebastian Engelke

Collected data, which is used for analysis or prediction tasks, often have a hierarchical structure, for example, data from various people performing the same task. Modeling the data's structure can improve the reliability of the derived…

应用统计 · 统计学 2018-11-12 Dennis Becker

The identification of precipitation regimes is important for many purposes such as agricultural planning, water resource management, and return period estimation. Since precipitation and other related meteorological data typically exhibit…

应用统计 · 统计学 2019-04-24 Haozhe Zhang , Zhengyuan Zhu , Shuiqing Yin

In this study, we present a Bayesian hierarchical framework to model fluid-induced seismicity. The framework is based on a non-homogeneous Poisson process (NHPP) with a fluid-induced seismicity rate proportional to the rate of injected…