Classifications with relations: A model for the description of distributions and their distances. (English) Zbl 0612.62091

Distributions on classifications are met wherever we work with categorical variables and in many practical situations. In this paper some methods for statistical analysis of nominal variables, ordinal variables (partially solved), and cardinal variables (a numerical or quantified classification) are suggested, and a general model to describe measures for distributions on various types of classifications with relations is proposed. The simple, ordered and quantitative classifications will be special cases of this general model. In this way, it is possible to deal with general decision and predictive models as well as with the analysis of generalized categorical variables.
Reviewer: Fang Kaitai


62H99 Multivariate analysis
62H30 Classification and discrimination; cluster analysis (statistical aspects)
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