Meshal Abuqrais

Central Limit Theorems for Sample Fr\'echet Means of Manifold-Valued Markov Chains

In this article, we establish central limit theorems for sample Fr\'echet means of stationary ergodic Markov chains taking values in manifolds, extending the asymptotic theory previously developed for independent observations to a class of dependent manifold-valued processes. Our results derive the asymptotic normality...