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.

翻译：本文的研究背景是非参数代数统计学。我们研究$\mathbb{R}^n$上条件独立混合分布的矩簇。这些簇是环面簇的分割簇，而环面簇通过单变量矩表达了独立性。我们的结果围绕这些簇的维数和定义多项式展开。