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When passing from the univariate to the multivariate setting, modelling extremes becomes much more intricate. In this introductory exposition, classical multivariate extreme value theory is presented from the point of view of multivariate…

Statistics Theory · Mathematics 2024-12-25 Philippe Naveau , Johan Segers

A major issue of extreme value analysis is the determination of the shape parameter $\xi$ common to Generalized Extreme Value (GEV) and Generalized Pareto (GP) distributions, which drives the tail behavior, and is of major impact on the…

Methodology · Statistics 2018-06-19 Nicolas Bousquet , Merlin Keller

Normal mean-variance mixture distributions are widely applied to simplify a model's implementation and improve their computational efficiency under the Maximum Likelihood (ML) approach. Especially for distributions with normal mean-variance…

Methodology · Statistics 2015-06-18 Thanakorn Nitithumbundit , Jennifer S. K. Chan

Nowadays, the confidentiality of data and information is of great importance for many companies and organizations. For this reason, they may prefer not to release exact data, but instead to grant researchers access to approximate data. For…

Methodology · Statistics 2021-12-24 Zahra A. Shirazi , João Pedro A. R. da Silva , Camila P. E. de Souza

The rapid expansion of the French offshore wind sector requires a critical reassessment of structural durability in the face of evolving marine conditions driven by climate change. Traditional design methodologies, which rely on the…

Applications · Statistics 2026-03-10 Nicolas Raillard , Coline Poppeschi , Tessa Chevallier , Youen Kervella , Laurent Dubus

End member analysis (EMA) unmixes grain size distribution (GSD) data into a mixture of end members (EMs), thus helping understand sediment provenance and depositional regimes and processes. In highly mixed data sets, however, many EMA…

Methodology · Statistics 2026-01-05 Qianqian Qi , Zhongming Chen , Peter G. M. van der Heijden

Missing data are ubiquitous in empirical databases, yet statistical analyses typically require complete data matrices. Multiple imputation offers a principled solution for filling these gaps. This study evaluates the performance of several…

Computation · Statistics 2026-02-05 Enzo Porto Brasil

Standard simultaneous autoregressive (SAR) models typically assume normally distributed errors, an assumption often violated in real-world datasets that frequently exhibit non-normal, skewed, or heavy-tailed characteristics. New SAR models…

Methodology · Statistics 2025-12-16 Anjana Wijayawardhana , David Gunawan , Thomas Suesse

Finite mixture models have been widely used to model and analyze data from a heterogeneous populations. Moreover, data of this kind can be missing or subject to some upper and/or lower detection limits because of the restriction of…

Missing data occur frequently in a wide range of applications. In this paper, we consider estimation of high-dimensional covariance matrices in the presence of missing observations under a general missing completely at random model in the…

Methodology · Statistics 2016-05-17 T. Tony Cai , Anru Zhang

We generalize the well-known mixtures of Gaussians approach to density estimation and the accompanying Expectation--Maximization technique for finding the maximum likelihood parameters of the mixture to the case where each data point…

Methodology · Statistics 2011-08-01 Jo Bovy , David W. Hogg , Sam T. Roweis

Partially recorded data are frequently encountered in many applications and usually clustered by first removing incomplete cases or features with missing values, or by imputing missing values, followed by application of a clustering…

Methodology · Statistics 2021-10-20 Emily M. Goren , Ranjan Maitra

In recent environmental studies extreme events have a great impact. The yearly and monthly maxima of environment related indices can be analysed by the tools of extreme value theory. For instance, the monthly maxima of the fire weather…

Methodology · Statistics 2020-03-20 László Németh , Zuzana Hübnerová , András Zempléni

While advances continue to be made in model-based clustering, challenges persist in modeling various data types such as panel data. Multivariate panel data present difficulties for clustering algorithms because they are often plagued by…

Methodology · Statistics 2024-08-26 Mackenzie R. Neal , Alexa A. Sochaniwsky , Paul D. McNicholas

Standard approaches for variable selection in linear models are not tailored to deal properly with high-dimensional and incomplete data. Currently, methods dedicated to high-dimensional data handle missing values by ad-hoc strategies, like…

Methodology · Statistics 2021-06-09 Avner Bar-Hen , Vincent Audigier

There is substantial empirical and climatological evidence that precipitation extremes have become more extreme during the twentieth century, and that this trend is likely to continue as global warming becomes more intense. However,…

Generating accurate extremes from an observational data set is crucial when seeking to estimate risks associated with the occurrence of future extremes which could be larger than those already observed. Applications range from the…

Machine Learning · Statistics 2026-02-02 Nicolas Lafon , Philippe Naveau , Ronan Fablet

The missing data issue often complicates the task of estimating generalized linear models (GLMs). We describe why the pseudo-marginal Metropolis-Hastings algorithm, used in this setting, is an effective strategy for parameter estimation.…

Methodology · Statistics 2019-07-23 Taylor R. Brown , Timothy L. McMurry , Alexander Langevin

In longitudinal data a response variable is measured over time, or under different conditions, for a cohort of individuals. In many situations all intended measurements are not available which results in missing values. If the missing value…

Methodology · Statistics 2022-08-10 Ahmed M. Gad , Nesma M. Darwish

Missing data can be informative. Ignoring this information can lead to misleading conclusions when the data model does not allow information to be extracted from the missing data. We propose a co-clustering model, based on the Latent Block…

Machine Learning · Computer Science 2020-10-26 Gabriel Frisch , Jean-Benoist Léger , Yves Grandvalet
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