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  "body": "\n## Summary\n\nA mixture model describes a population made of several subpopulations, each with its own distribution.\nThe density of an observation is a weighted average of the component densities, with weights equal to the subpopulation proportions.\nIt is a [[latent variable model|C63RVH96TF]] in which the hidden variable is the label of the subpopulation.\nMixture models are usually fitted by the [[expectation–maximization algorithm|11N1AXSXYK]] and are a basis of model-based [[cluster analysis|D9Y3A9RH6J]].\n\n## Explanations\n\n### L1 human\n\nThe heights of adults form a mixture of the heights of women and the heights of men.\nEach group alone gives a bell-shaped curve, and the population curve is a weighted sum of the two bells.\nIf the two groups are far apart, the population curve has two humps.\nA mixture model starts from such a sum and tries to recover the groups, their proportions and their shapes from the data.\n",
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