Algebraic descriptions of nominal multivariate discrete data
type: Item
instance of: scholarly article
title: Algebraic descriptions of nominal multivariate discrete data
zbMATH Open document ID: 0922.62059
author: J. L. Teugels
author: J. Van Horebeek
published in: Journal of Multivariate Analysis
publication date: 1999-03-10T00:00:00Z
review text: It is well known that multivariate discrete data can be analyzed by means of log-linear models. This paper, however, proposed an algebraic approach. The authors defined algebraic operators that lead to a parametrization in terms of the moments and show how the operators transform the cell probabilities into new parameters that can be easily characterized. The authors also developed a complete characterization of all meaningful transformations of nominal data and show its impact on the parametrization by means of moments.
Mathematics Subject Classification ID: 62J99
Mathematics Subject Classification ID: 62H05
Mathematics Subject Classification ID: 62J12
Mathematics Subject Classification ID: 62H20
zbMATH DE Number: 1241222
zbMATH Keywords: log-linear models
reviewed by: Songgui Wang
MaRDI profile type: Publication
OpenAlex ID: W1997445025
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DOI: 10.1006/JMVA.1998.1764
description: scientific article; zbMATH DE number 1241222