Characterization of rankings generated by linear discriminant anlaysis

Authors:
Hidehiko Kamiya;Akimichi Takemura
Affiliations:
Faculty of Economics, Okayama University, 3-1-1 Naka, Tsushima, Okayama 700-8530, Japan;Department of Mathematical Informatics, Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1 Hongo, Bunkyo-Ku, Tokyo 113-0033, Japan
Venue:
Journal of Multivariate Analysis
Year:
2005

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Abstract

Pairwise linear discriminant analysis can be regarded as a process to generate rankings of the populations. But in general, not all rankings are generated. We give a characterization of generated rankings. We also derive some basic properties of this model.