Variation of empirical Fr\'echet means on a metric space with curvature bounded above is encoded via random fields indexed by unit tangent vectors. A central limit theorem shows these random tangent fields converge to a Gaussian such field.

翻译：曲率有上界的度量空间上经验Fréchet均值的变异性通过由单位切向量索引的随机场来编码。一个中心极限定理表明这些随机切向量场收敛到一个高斯型随机场。