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On a distribution‐free discriminant analysis
Author(s) -
Gupta A. K.,
Kim B. K.
Publication year - 1978
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.197800012
Subject(s) - mathematics , linear discriminant analysis , statistics , kernel density estimation , estimator , kernel (algebra) , kernel fisher discriminant analysis , upper and lower bounds , combinatorics , mathematical analysis , geometry , euclidean distance , facial recognition system
In this paper a distribution‐free classification procedure is studied when it is assumed that the characteristic in one population is stochastically larger than in the other. The procedure utilizes the kernel type density estimators. An upper bound for the failure rate is also derived and the classification rule is shown to be consistent.