Performance of High Breakdown Mixture Discriminant Analysis Under Different Biweight Functions

Abstract

This article addresses the use of different biweight functions in high breakdown mixture discriminant analysis approach of Bashir and Carter (2005). The translated biweight S function of Rocke (1996) is used in the robust estimation of the mixture distributions parameters. As in discriminant analysis, the main purpose is to classify the test observations with greater accuracy, so the estimators producing smaller errors of misclassification are preferred. In the simulation studies, the use of Tukey's biweight function was proved to be more effective in producing better classification results as compared to the translated biweight function.