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arXiv · 2010.06941

Discriminant Analysis of Distributional Data viaFractional Programming

S. Dias·P. Brito·P. Amaral
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Abstract

We address classification of distributional data, where units are described by histogram or interval-valued variables. The proposed approach uses a linear discriminant function where distributions or intervals are represented by quantile functions, under specific assumptions. This discriminant function allows defining a score for each unit, in the form of a quantile function, which is used to classify the units in two a priori groups, using the Mallows distance. There is a diversity of application areas for the proposed linear discriminant method. In this work we classify the airline companies operating in NY airports based on air time and arrival/departure delays, using a full year fights.

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BibTeXRIS

S. Dias, P. Brito, P. Amaral. 2020-10-14. Discriminant Analysis of Distributional Data viaFractional Programming. https://arxiv.org/abs/2010.06941

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