Determining the Number of Components in Mixture Models Using Williams' Statistical Test

摘要

This paper presents a new approach which can be used to determine the optimum number of components in mixture models. The approach is developed using Williams' statistical test for determining optimal drug doses. Three experimental examples demonstrate application of the proposed method to the number of components of the density functions using the Expectation Maximisation (EM) algorithm. It shown that the method can work but it is not perfect in all applications.