Finite mixture models have a long history in statistics, having been used to model population heterogeneity, generalize distributional assumptions, and lately, for providing a convenient yet formal framework for clustering and classification. This paper provides a detailed review into mixture models and model-based clustering. Recent trends as well as open problems in the area are also discussed.
"Finite mixture models and model-based clustering." Statist. Surv. 4 80 - 116, 2010. https://doi.org/10.1214/09-SS053