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We propose a model-based geostatistical approach to deal with regionalized compositions. We combine the additive-log-ratio transformation with multivariate geostatistical models whose covariance matrix is adapted to take into account the…

Spatial modelling of extreme values allows studying the risk of joint occurrence of extreme events at different locations and is of significant interest in climatic and other environmental sciences. A popular class of dependence models for…

Methodology · Statistics 2026-02-11 Lorenzo Dell'Oro , Carlo Gaetan , Thomas Opitz

Legged robots leverage ground contacts and the reaction forces they provide to achieve agile locomotion. However, uncertainty coupled with contact discontinuities can lead to failure, especially in real-world environments with unexpected…

Robotics · Computer Science 2023-09-11 Yanhao Yang , Joseph Norby , Justin K. Yim , Aaron M. Johnson

Statistical analysis of extremes can be used to predict the probability of future extreme events, such as large rainfalls or devastating windstorms. The quality of these forecasts can be measured through scoring rules. Locally scale…

Methodology · Statistics 2024-02-22 Helga Kristin Olafsdottir , Holger Rootzén , David Bolin

The extreme value index is a fundamental parameter in univariate Extreme Value Theory (EVT). It captures the tail behavior of a distribution and is central in the extrapolation beyond observed data. Among other semi-parametric methods (such…

Statistics Theory · Mathematics 2017-05-02 Clément Dombry , Ana Ferreira

Motivated by better modeling of intra-individual variability in longitudinal data, we propose a class of location-scale mixed effects models, in which the data of each individual is modeled by a parameter-varying generalized hyperbolic…

Statistics Theory · Mathematics 2023-03-13 Yuki Fujinaga , Hiroki Masuda

The stable tail dependence function provides a full characterization of the extremal dependence structures. Unfortunately, the estimation of the stable tail dependence function often suffers from significant bias, whose scale relates to the…

Methodology · Statistics 2022-12-19 Nan Zou

The costs for drilling offshore wells are high and hydrocarbons are often located in complex reservoir formations. To effectively produce from such reservoirs and reduce costs, optimized well placement in real-time (geosteering) is crucial.…

A location- and scale-invariant predictor is constructed which exhibits good probability matching for extreme predictions outside the span of data drawn from a variety of (stationary) general distributions. It is constructed via the…

Statistics Theory · Mathematics 2013-07-30 Allan McRobie

We propose a novel approach for detecting change points in high-dimensional linear regression models. Unlike previous research that relied on strict Gaussian/sub-Gaussian error assumptions and had prior knowledge of change points, we…

Methodology · Statistics 2024-05-22 Bin Liu , Zhengling Qi , Xinsheng Zhang , Yufeng Liu

A new generalized multilinear regression model, termed the Higher-Order Partial Least Squares (HOPLS), is introduced with the aim to predict a tensor (multiway array) $\tensor{Y}$ from a tensor $\tensor{X}$ through projecting the data onto…

Artificial Intelligence · Computer Science 2014-01-27 Qibin Zhao , Cesar F. Caiafa , Danilo P. Mandic , Zenas C. Chao , Yasuo Nagasaka , Naotaka Fujii , Liqing Zhang , Andrzej Cichocki

Extreme precipitation wreaks havoc throughout the world, causing billions of dollars in damage and uprooting communities, ecosystems, and economies. Accurate extreme precipitation prediction allows more time for preparation and disaster…

Machine Learning · Computer Science 2022-02-01 Weichen Huang

Conditional extreme value theory (EVT) methods promise enhanced forecasting of the extreme tail events that often dominate systemic risk. We present an improved two-tailed peaks-over-threshold (2T-POT) Hawkes model that is adapted for…

Statistical Finance · Quantitative Finance 2023-11-28 Matthew F. Tomlinson , David Greenwood , Marcin Mucha-Kruczynski

We study the occurrence of events, subject to threshold, in a representative SOC sandpile model and in high-resolution rainfall data. The predictability in both systems is analyzed by means of a decision variable sensitive to event…

Atmospheric and Oceanic Physics · Physics 2015-06-11 Anna Deluca , Nicholas R. Moloney , Alvaro Corral

One potential solution to combat the scarcity of tail observations in extreme value analysis is to integrate information from multiple datasets sharing similar tail properties, for instance, a common extreme value index. In other words, for…

Methodology · Statistics 2025-06-25 Liujun Chen , Marco Oesting , Chen Zhou

The accurate prediction of precipitation is important to allow for reliable warnings of flood or drought risk in a changing climate. However, to make trust-worthy predictions of precipitation, at a local scale, is one of the most difficult…

Computation · Statistics 2021-02-26 Sherman Lo , Peter Watson , Peter Dueben , Ritabrata Dutta

Climate science needs more efficient ways to study high-impact, low-probability extreme events, which are rare by definition and costly to simulate in large numbers. Rare event sampling (RES) and ensemble boosting use small perturbations to…

Atmospheric and Oceanic Physics · Physics 2025-10-21 Justin Finkel , Paul A. O'Gorman

The estimation of extreme flood quantiles is challenging due to the relative scarcity of extreme data compared to typical target return periods. Several approaches have been developed over the years to face this challenge, including…

Applications · Statistics 2016-02-17 Anne Sabourin , Benjamin Renard

Density level sets can be estimated using plug-in methods, excess mass algorithms or a hybrid of the two previous methodologies. The plug-in algorithms are based on replacing the unknown density by some nonparametric estimator, usually the…

Statistics Theory · Mathematics 2016-11-26 A. Rodríguez-Casal , P. Saavedra-Nieves

Probabilistic weather forecasts from ensemble systems require statistical postprocessing to yield calibrated and sharp predictive distributions. This paper presents an area-covering postprocessing method for ensemble precipitation…

Applications · Statistics 2020-10-13 Lea Friedli , David Ginsbourger , Jonas Bhend