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Extreme value analysis (EVA) is a statistical method that studies the properties of extreme values of datasets, crucial for fields like engineering, meteorology, finance, insurance, and environmental science. EVA models extreme events using…

Biological Physics · Physics 2024-10-15 Kumiko Hayashi , Nobumichi Takamatsu , Shunki Takaramoto

This study introduces a framework for quality control of measured weather data, including anomaly detection, and infilling missing values. Weather data is a fundamental input to building performance simulations, in which anomalous values…

Machine Learning · Statistics 2020-11-20 Maryam MeshkinKiya , Riccardo Paolini

A common approach for modeling extremes, such as peak flow or high temperatures, is the three-parameter Generalized Extreme-Value distribution. This is typically fit to extreme observations, here defined as maxima over disjoint blocks. This…

Applications · Statistics 2025-10-07 Nathan Huet , Ilaria Prosdocimi

The block maxima method is a standard approach for analyzing the extremal behavior of a potentially multivariate time series. It has recently been found that the classical approach based on disjoint block maxima may be universally improved…

Statistics Theory · Mathematics 2025-03-26 Axel Bücher , Torben Staud

Data-driven weather forecast based on machine learning (ML) has experienced rapid development and demonstrated superior performance in the global medium-range forecast compared to traditional physics-based dynamical models. However, most of…

Machine Learning · Computer Science 2024-08-19 Wanghan Xu , Kang Chen , Tao Han , Hao Chen , Wanli Ouyang , Lei Bai

Multivariate extreme-value analysis is concerned with the extremes in a multivariate random sample, that is, points of which at least some components have exceptionally large values. Mathematical theory suggests the use of max-stable models…

Probability · Mathematics 2012-04-03 Johan Segers

This paper tackles the problem of missing data imputation for noisy and non-Gaussian data. A classical imputation method, the Expectation Maximization (EM) algorithm for Gaussian mixture models, has shown interesting properties when…

Machine Learning · Statistics 2023-05-23 Florian Mouret , Alexandre Hippert-Ferrer , Frédéric Pascal , Jean-Yves Tourneret

Precisely estimating out-of-sample upper quantiles is very important in risk assessment and in engineering practice for structural design to prevent a greater disaster. For this purpose, the generalized extreme value (GEV) distribution has…

Methodology · Statistics 2025-12-24 Yonggwan Shin , Yire Shin , Jihong Park , Jeong-Soo Park

Multivariate extreme value analysis quantifies the probability and magnitude of joint extreme events. River discharges from the upper Danube River basin provide a challenging dataset for such analysis because the data, which is measured on…

Methodology · Statistics 2025-04-14 Aiden Farrell , Emma F. Eastoe , Clement Lee

This paper unifies and extends results on a class of multivariate Extreme Value (EV) models studied by Hougaard, Crowder, and Tawn. In these models both unconditional and conditional distributions are EV, and all lower-dimensional marginals…

Methodology · Statistics 2013-09-30 Anne-Laure Fougères , John P. Nolan , Holger Rootzén

The spatial error model (SEM) is a type of simultaneous autoregressive (SAR) model for analysing spatially correlated data. Markov chain Monte Carlo (MCMC) is one of the most widely used Bayesian methods for estimating SEM, but it has…

Methodology · Statistics 2024-06-14 Anjana Wijayawardhana , David Gunawan , Thomas Suesse

Advancements in data collection techniques and the heterogeneity of data resources can yield high percentages of missing observations on variables, such as block-wise missing data. Under missing-data scenarios, traditional methods such as…

Methodology · Statistics 2022-05-17 Wei Lan , Xuerong Chen , Tao Zou , Chih-Ling Tsai

Trial-based economic evaluations are typically performed on cross-sectional variables, derived from the responses for only the completers in the study, using methods that ignore the complexities of utility and cost data (e.g. skewness and…

Methodology · Statistics 2018-05-21 Andrea Gabrio , Michael J. Daniels , Gianluca Baio

Handling missing data is a major challenge in model-based clustering, especially when the data exhibit skewness and heavy tails. We address this by extending the finite mixture of scale mixtures of multivariate skew-normal (FMSMSN) family…

Methodology · Statistics 2025-07-29 Jason Pillay , Cristina Tortora , Antonio Punzo , Andriette Bekker

Estimating spatial extremes from sparse observational networks produces uncertain return level maps, but dense output from physics-based simulation models is often available as a complementary data source. We develop a two-stage frequentist…

Methodology · Statistics 2026-03-04 Brian N. White , Brian Blanton , Rick Luettich , Richard L. Smith

Classification tasks usually assume that all possible classes are present during the training phase. This is restrictive if the algorithm is used over a long time and possibly encounters samples from unknown classes. The recently introduced…

Machine Learning · Statistics 2019-07-18 Edoardo Vignotto , Sebastian Engelke

We propose a novel neural network architecture that enables non-parametric calibration and generation of multivariate extreme value distributions (MEVs). MEVs arise from Extreme Value Theory (EVT) as the necessary class of models when…

Machine Learning · Statistics 2022-03-03 Ali Hasan , Khalil Elkhalil , Yuting Ng , Joao M. Pereira , Sina Farsiu , Jose H. Blanchet , Vahid Tarokh

This study develops a real-time framework for estimating pedestrian crash risk at signalized intersections under heterogeneous, non-lane-based traffic. Existing approaches often assume linear relationships between covariates and parameters,…

Applications · Statistics 2025-10-17 Parvez Anowar , Nazmul Haque , Md Asif Raihan , Md Hadiuzzaman

We aim to analyze the behaviour of a finite-time stochastic system, whose model is not available, in the context of more rare and harmful outcomes. Standard estimators are not effective in making predictions about such outcomes due to their…

Methodology · Statistics 2022-07-29 Evan Arsenault , Yuheng Wang , Margaret P. Chapman

We present a proposal to deal with the non-normality issue in the context of regression models with measurement errors when both the response and the explanatory variable are observed with error. We extend the normal model by jointly…

Methodology · Statistics 2020-07-28 C. R. B. Cabral , N. L. de Souza , J. Leão
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