Advances in Multivariate Statistical Models: Approaches and Applications for Continuous Data

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "D1: Probability and Statistics".

Deadline for manuscript submissions: 31 March 2027 | Viewed by 769

Editors


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Guest Editor
Department of Statistics, State University of Campinas, Sao Paulo 13083-887, Brazil
Interests: probability and statistics; model with errors in variables; elliptical and skew-elliptical distribution; estimation; diagnosis; asymptotic distribution and estimation of maximum likelihood; lifetime models; Birnbaum–Saunders distribution

E-Mail Website
Guest Editor
Departamento de Estatística, Universidade Federal de Juiz de Fora, Juiz de Fora 36036-900, MG, Brazil
Interests: probability and statistics

Special Issue Information

Dear Colleagues,

Nowadays, multi-dimensional data are increasingly common, raising the need to fit data to multivariate models and justifying the use of multivariate methods. Therefore, we invite original research articles and reviews that address statistical models with multivariate continuous responses (symmetric or asymmetric), with applications to real datasets. Contributions involving their application to high-dimensional data will be especially welcome. Potential contributions can cover a wide range of topics, including parameter estimation and hypothesis testing, multivariate data adjustment techniques, residuals, and diagnostic analysis. The goal in this Special Issue is to bring together the most recent research and practical applications in these areas.

In other words, this Special Issue aims to promote the development of new approaches and fundamental research topics, with applications in various scientific areas, seeking to improve the practices of researchers and practitioners in statistics and related areas by offering more robust and accurate solutions for the analysis of complex data.

Dr. Filidor Edilfonso Vilca-Labra
Dr. Camila Zeller
Guest Editors

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Keywords

  • estimation
  • asymptotic properties
  • goodness of fit
  • multivariate data analysis
  • kurtosis
  • maximum likelihood
  • regression model
  • diagnostic analysis

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Published Papers (1 paper)

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Research

28 pages, 721 KB  
Article
Adaptive Wrapped Robust Canonical Correlation Analysis in High-Dimensional Data
by Hasan Bulut, Müjgan Zobu and Vedat Sağlam
Mathematics 2026, 14(15), 2698; https://doi.org/10.3390/math14152698 - 27 Jul 2026
Viewed by 272
Abstract
Classical canonical correlation analysis becomes numerically unstable when the number of variables is large relative to the sample size and is sensitive to contamination in observations or individual cells. This study develops an integrated robust and regularized procedure that combines bounded cellwise wrapping, [...] Read more.
Classical canonical correlation analysis becomes numerically unstable when the number of variables is large relative to the sample size and is sensitive to contamination in observations or individual cells. This study develops an integrated robust and regularized procedure that combines bounded cellwise wrapping, shrinkage estimation of the joint correlation matrix, and robust reweighting in a low-dimensional canonical score space. The resulting observation weights enter a second regularized canonical correlation fit, so the final estimator remains well defined when the combined number of variables exceeds the sample size. The simulation study shows that relative estimation accuracy depends on the signal strength, contamination mechanism, and dimensional configuration. The proposed estimator is competitive in several moderate-signal settings and has a clear computational advantage, whereas the minimum regularized covariance determinant plug-in estimator provides lower estimation error in many high-signal configurations. An additional ultra-high-dimensional experiment demonstrates numerical feasibility with modest memory use but also reveals substantial attenuation, identifying a limitation of the present dense estimator. The results therefore support a regime-dependent interpretation rather than a claim of uniform superiority. The complete reproducible simulation workflow is provided. Full article
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