Characterization of rankings generated by linear discriminant analysis

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.Arrangement of hyperplanes Euclidean preferences Ideal point model Linear discriminant analysis Poincaré polynomial Polytope Ranking Social choice Stirling numbers Voronoi polyhedron