Statistical Classification Using the Maximum Function

• 作者: Nguyen D. Nhat Nguyen V. Phong T. Pham-Gia
• 来源期刊: 统计学期刊(英文)
• 学科: 医学
• 关键词: MAXIMUM DISCRIMINANT Function Pattern Classification Normal Distribution BAYES ERROR L1-Norm Linear QUADRATIC Space CURVES
• 年，卷（期）: 2015,（7）
• 页码范围: 665-679
• 页数: 15页
• 分类号: R73

摘要

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.