3 papers
math.PR2026
Central Limit Theorems for Sample Fréchet Means of Manifold-Valued Markov Chains
Meshal Abuqrais
In this article, we establish central limit theorems for sample Fréchet means of stationary ergodic Markov chains taking values in manifolds, extending the asymptotic theory previo…
math.ST2026
Autoregressive Processes on Riemannian Manifolds
Meshal Abuqrais, Davide Pigoli
This paper introduces a Riemannian autoregressive (R-AR) model of order one for manifold-valued time series. The model is specified through an autoregressive process in the tangent…
math.ST2024
A Riemannian covariance for manifold-valued data
Meshal Abuqrais, Davide Pigoli
The extension of bivariate measures of dependence to non-Euclidean spaces is a challenging problem. The non-linear nature of these spaces makes the generalisation of classical meas…