Moment Varieties for Mixtures of Products

Abstract

The setting of this article is nonparametric algebraic statistics. We study moment varieties of conditionally independent mixture distributions on ${\mathbb{R}}^n$. 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.

8 pages

Cited by in corpus (1)

• Moment varieties from inverse Gaussian and gamma distributions