@unpublished{pennec:hal-02157952, TITLE = {{Curvature effects on the empirical mean in Riemannian and affine Manifolds: a non-asymptotic high concentration expansion in the small-sample regime}}, AUTHOR = {Pennec, Xavier}, URL = {https://inria.hal.science/hal-02157952}, NOTE = {working paper or preprint}, YEAR = {2019}, MONTH = Jun, KEYWORDS = {empirical mean ; affine connection manifold ; Fr{\'e}chet means ; Riemannian manifold ; curvature ; non-asymptotic estimation}, PDF = {https://inria.hal.science/hal-02157952/file/CurvatureAndEmpiricalFrechetMean.pdf}, HAL_ID = {hal-02157952}, HAL_VERSION = {v1}, }