... through the use of k-means clustering method. With the EMMIXprogram, the default stopping criterion is that the change in the log likelihood from the currentiteration andthe loglikelihoodfrom 10iterationspreviouslydiffersbylessthan ... models. These include the provision of starting values for the applicationof the EM algorithm, the provision of standard errors for the fitted parametersin the mixture model via variousmethods,andthe ... regularityconditions[7].Withprobabilitytendingtoone,theserootscorrespondtolocalmaximain the interiorofthe parameter space. For estimationmodelsin general, the likelihoodusually has a global maximum in the interior of the parameter space. Then...