ROBUSTNESS OF THE LINEAR DISCRIMINANT FUNCTION TO NON-NORMALITY - JOHNSONS SYSTEM

被引：22

作者：

CHINGANDA, EF

SUBRAHMANIAM, K

机构：

[1] Department of Statistics, University of Manitoba, Winnipeg, Man.

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 1979年 / 3卷 / 01期

关键词：

Logitnormal and Inverse Hyperbolic Sine Normal; Lognormal; Misclassification Errors;

D O I：

10.1016/0378-3758(79)90042-9

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The asymptotic distribution of the Errors of Misclassification in using the Linear Discriminant Function is investigated here. The purpose is to study the effects of nonnormality on these errors. The class of distributions considered is the Johnson's system. Each of the three random variables can be transformed to normality. In one particular case numerical evaluations are made, based on which it is possible to recommend whether or not it is necessary to make the transformation prior to classification. In a parallel study, we present similar results for the Edgeworth Series distribution, where the random variables cannot be transformed to normality. © 1979.

引用

页码：69 / 77

页数：9

共 9 条

[1]

CHINGANDA EF, 1976, 74 U MAN DEP STAT TE

[2] ERRORS IN DISCRIMINATION [J].