TITLE:
Statistical Classification Using the Maximum Function
AUTHORS:
T. Pham-Gia, Nguyen D. Nhat, Nguyen V. Phong
KEYWORDS:
Maximum, Discriminant Function, Pattern Classification, Normal Distribution, Bayes Error, L1-Norm, Linear, Quadratic, Space Curves
JOURNAL NAME:
Open Journal of Statistics,
Vol.5 No.7,
December
17,
2015
ABSTRACT: The maximum of k numerical functions defined on , , by , is used here in Statistical classification. Previously, it has been used in Statistical Discrimination [1] and in Clustering [2]. We present first some theoretical results on this function, and then its application in classification using a computer program we have developed. This approach leads to clear decisions, even in cases where the extension to several classes of Fisher’s linear discriminant function fails to be effective.