Moment Varieties for Mixtures of Products

01/22/2023
by   Yulia Alexandr, et al.
0

The setting of this article is nonparametric algebraic statistics. We study moment varieties of conditionally independent mixture distributions on ℝ^n. These are the secant varieties of toric varieties that express independence in terms of univariate moments. Our results revolve around the dimensions and defining polynomials of these varieties.

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