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RAUL, C. A. Inference on mixture models via modified stochastic EM algorithm. 2017. 83 p. Dissertação (Mestrado em Estatística – Interinstitucional de Pós-Graduação em Estatística) – Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, São Carlos – SP, 2017. We present the topics and theory of Mixture Models in a context of maximum likelihood and Bayesian inferece. We approach clustering methods in both contexts, with emphasis on the stochastic EM algorithm and the Dirichlet Process Mixture Model. We propose a new method, a modified stochastic EM algorithm, which can be used to estimate the parameters of a mixture model and the number of components.

Inferência em modelos de mistura via algoritmo EM estocástico modificado