Discriminant analysis of distributional data via fractional programming

Sónia Dias, Paula Brito and Paula Amaral

European Journal of Operational Research, 2021, vol. 294, issue 1, 206-218

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 flights.

Keywords: Classification; Data science; Histogram data; Multivariate statistics; Symbolic data analysis (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:294:y:2021:i:1:p:206-218

DOI: 10.1016/j.ejor.2021.01.025

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