Inference for Dispersion and Curvature of Random Objects
随机对象的离散程度与曲率推断
There are many open questions pertaining to the statistical analysis of random objects, which are increasingly encountered. A major challenge is the absence of linear operations in such spaces. A basic statistical task is to quantify statistical dispersion or spread. For two measures of dispersion for data objects in geodesic metric spaces, Fréchet variance and metric variance, we derive a central limit theorem (CLT) for their joint distribution. This analysis reveals that…