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Marginals or marginal distributions are obtained by collapsing a multivariate joint distribution over one or more of its variables. If X, Y, and Z are three discrete random variables with probability distribution πXYZ(x,y,z), the marginal distribution of X and Y is given by

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The marginal distribution of X is given by

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For continuous variables, summing over a variable is replaced by integrating over it.

Marcel A.Croon
10.4135/9781412950589.n528
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