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Classification when the covariate vectors have unequal dimensions
Authors:Majid Mojirsheibani  Shojaeddin Chenouri
Affiliation:a School of Mathematics and Statistics, Carleton University, Ottawa, ON, Canada K1S 5B6
b Department of Statistics and Actuarial Science, University of Waterloo, Waterloo, ON, Canada N2L 3G1
Abstract:This article deals with the problem of statistical classification when the covariate vectors can have unequal dimensions. Representations of the theoretically best classifier are given. We also propose a number of procedures for constructing consistent classifiers. Both parametric and nonparametric situations are considered but the emphasis is on the latter case. Numerical examples are also given.
Keywords:Classification   Unequal dimensions   Optimal classifier   Consistency
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