Nonparametric Inference on Non-euclidean Spaces
Year: 2015
Type: preprint
Abstract: We derive a general central limit theorem from which many of the existing CLTs for Frechet means follow immediately. It also improves upon an earlier CLT for intrinsic sample means on Riemannian manifolds due to (12). Applications are provided to some stratified spaces of recent interest, and to the space of symmetric positive definite matrices arising in diffusion tensor imaging.
Source: arXiv (Cornell University)
Authors: Rabi Bhattacharya, Lizhen Lin
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2189548711