Symmetry and Asymmetry in Multivariate Statistics and Data Science, Second Edition

Dear Colleagues,

Due to the great success of our Special Issue "Symmetry and Asymmetry in Multivariate Statistics and Data Science" we decided to set up a second volume.

Symmetry plays a fundamental role in both probability and statistics. In probability theory, the main measures of location, that is, the mean and the median, coincide if the underlying distribution is symmetric. In statistical inference, the sample mean and the sample variance are uncorrelated when the sampled distribution is symmetric. Multivariate symmetry and asymmetry pose several challenging research problems, which are of interest in their own right as well as for their practical implications. How do departures from multivariate symmetry affect well-known statistical methods, such as, for example, multivariate regression, robust statistical inference, and tests on mean vectors? Does skewness help in recovering data features such as outliers, clusters, and nonlinearity? How can we accurately measure, parsimoniously model, and efficiently test departures from multivariate symmetry? Which mathematical tools are best suited to deal with multivariate skewness and with the third-order moments that are often used to assess it? All these problems have been investigated in different research fields, with researchers in one field being apparently oblivious to the results obtained in other fields. This Special Issue aims at providing a unified perspective on multivariate symmetry and asymmetry by means of theoretical results, informed reviews, simulation experiments, data examples, and computational methods.

Welcome to read the publications in "Symmetry and Asymmetry in Multivariate Statistics and Data Science" at https://www.mdpi.com/journal/symmetry/special_issues/Multivariate_Statistics_Data.

Dr. Nicola Maria Rinaldo Loperfido
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

• asymmetry
• cumulants
• moments
• multilinear algebra
• skewness
• symmetry
• tensor

• Symmetry and Asymmetry in Multivariate Statistics and Data Science in Symmetry (10 articles)