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.

arXiv comment8 pages

References in corpus (3)

• Algebraic Factor Analysis: Tetrads, Pentads and Beyond
• Moment Varieties of Gaussian Mixtures
• Numerical Implicitization

Cited by in corpus (1)

• Moment varieties from inverse Gaussian and gamma distributions