EBC-Estimator of Multidimensional Bayesian Threshold in Case of Two Classes

Abstract

Some threshold-based classification rules in case of two classes are defined. In assumption, that a learning sample is obtained from a mixture with varying concentration, the empirical-Bayesian classification (EBC)-estimator of multidimensional Bayesian threshold is constructed. The conditions of convergence in probability of estimator are found.

Keywords

• Estimator
• Multidimensional Bayesian threshold
• Mixture with varying concentrations