Fréchet analysis of variance for random objects

Fréchet regression for random objects with Euclidean predictors

(2019) Alexander Petersen et al.   ANNALS OF STATISTICS

A New Graph-Based Two-Sample Test for Multivariate and Object Data

(2017) Hao Chen et al.   JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

The Energy of Data

(2017) Gábor J. Székely et al.   Annual Review of Statistics and Its Application

Functional data analysis for density functions by transformation to a Hilbert space

(2016) Alexander Petersen et al.   ANNALS OF STATISTICS

Omnibus CLTs for Fréchet means and nonparametric inference on non-Euclidean spaces

(2016) Rabi Bhattacharya et al.   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Functional Connectivity Hubs Could Serve as a Potential Biomarker in Alzheimer’s Disease: A Reproducible Study

(2015) Xiuchao Sui et al.   Current Alzheimer Research

Distance covariance in metric spaces

(2013) Russell Lyons   ANNALS OF PROBABILITY

Equivalence of distance-based and RKHS-based statistics in hypothesis testing

(2013) Dino Sejdinovic et al.   ANNALS OF STATISTICS

Central limit theorems for Fréchet means in the space of phylogenetic trees

(2013) Dennis Barden et al.   ELECTRONIC JOURNAL OF PROBABILITY

Extrinsic analysis on manifolds is computationally faster than intrinsic analysis with applications to quality control by machine vision

(2011) R. N. Bhattacharya et al.   APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY

Limit theorems for empirical Fréchet means of independent and non-identically distributed manifold-valued random variables

(2011) Wilfrid S. Kendall et al.   Brazilian Journal of Probability and Statistics

Cortical Hubs Revealed by Intrinsic Functional Connectivity: Mapping, Assessment of Stability, and Relation to Alzheimer's Disease

(2009) R. L. Buckner et al.   JOURNAL OF NEUROSCIENCE