TY - JOUR
T1 - Discriminant analysis of distributional data via fractional programming
AU - Dias, Sónia
AU - Brito, Paula
AU - Amaral, Paula
N1 - This work is financed by National Funds through the Portuguese funding agency, FCT -Fundacao para a Ciencia e a Tecnologia, within projects UIDB/50014/2020, UIDB/00297/2020 and PTDC/EEITEL/32454/2017.
PY - 2021/10/1
Y1 - 2021/10/1
N2 - 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.
AB - 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.
KW - Classification
KW - Data science
KW - Histogram data
KW - Multivariate statistics
KW - Symbolic data analysis
UR - http://www.scopus.com/inward/record.url?scp=85100974533&partnerID=8YFLogxK
U2 - 10.1016/j.ejor.2021.01.025
DO - 10.1016/j.ejor.2021.01.025
M3 - Article
AN - SCOPUS:85100974533
SN - 0377-2217
VL - 294
SP - 206
EP - 218
JO - European Journal of Operational Research
JF - European Journal of Operational Research
IS - 1
ER -