Orthogeodesic Models
提出一组微分几何/统计条件来定义正交测地线模型，刻画了具有仿射对叶的指数模型的相似统计性质，并证明一些非指数模型也满足这些条件，导出了指数正交测地线模型的完整结构刻画。
A variety of exponential models with affine dual foliations have been noted to possess certain rather similar statistical properties. To give a precise meaning to what has been conceived as "similar," we here propose a set of five conditions, of a differential geometric/statistical nature, that specify the class of what we term orthogeodesic models. It is discussed how these conditions capture the properties in question, and it is shown that some important nonexponential models turn out to satisfy the conditions, too. The conditions imply, in particular, a higher-order asymptotic independence result. A complete characterization of the structure of exponential orthogeodesic models is derived.