We study logarithmic Voronoi cells for linear statistical models and partial linear models. The logarithmic Voronoi cells at points on such model are polytopes. To any $d$-dimensional linear model inside the probability simplex $\Delta_{n-1}$, we can associate an $n\times d$ matrix $B$. For interior points, we describe the vertices of these polytopes in terms of co-circuits of $B$. We also show that these polytopes are combinatorially isomorphic to the dual of a vector configuration with Gale diagram $B$. This means that logarithmic Voronoi cells at all interior points on a linear model have the same combinatorial type. We also describe logarithmic Voronoi cells at points on the boundary of the simplex. Finally, we study logarithmic Voronoi cells of partial linear models, where the points on the boundary of the model are especially of interest.

翻译：我们研究线性统计模型和部分线性模型的对数Voronoi胞腔。这类模型上的点对应的对数Voronoi胞腔是多胞体。对于概率单纯形$\Delta_{n-1}$内的任意$d$维线性模型，可关联一个$n\times d$矩阵$B$。针对内点，我们通过$B$的共回路描述了这些多胞体的顶点，并证明这些多胞体与具有Gale图$B$的向量配置的对偶组合同构。这意味着线性模型上所有内点的对数Voronoi胞腔具有相同的组合类型。我们还描述了单纯形边界点上对数Voronoi胞腔的特征。最后，我们研究了部分线性模型的对数Voronoi胞腔——其中模型边界上的点具有特殊研究价值。