The task to write on data analysis on nonstandard spaces is quite substantial, with a huge
body of literature to cover, from parametric to nonparametrics, from shape spaces to …

The (CLT) central limit theorems for generalized Fréchet means (data descriptors assuming
values in manifolds, such as intrinsic means, geodesics, etc.) on manifolds from the literature …

Two central limit theorems for sample Fréchet means are derived, both significant for
nonparametric inference on non-Euclidean spaces. The first theorem encompasses and …

We are interested in measures of central tendency for a population on a network, which is
modeled by a metric tree. The location parameters that we study are generalized Fr\'echet …

Phylogenetic trees are the fundamental mathematical representation of evolutionary
processes in biology. They are also objects of interest in pure mathematics, such as …

Fr\'echet means on non-Euclidean spaces may exhibit nonstandard asymptotic rates
rendering quantile-based asymptotic inference inapplicable. We show here that this affects …

Evolutionary relationships between species are represented by phylogenetic trees, but
these relationships are subject to uncertainty due to the random nature of evolution. A …

Evolution sometimes results in discrete morphological differences among populations that
diverge from a common source. This “saltation” can occur with features quantified by …

To explore convex optimization on Hadamard spaces, we consider an iteration in the style of
a subgradient algorithm. Traditionally, such methods assume that the underlying spaces are …

Geometrical smeariness - a new phenomenon of Frechet means Page 1 Bernoulli 28(1), 2022,
239–254 https://doi.org/10.3150/21-BEJ1340 Geometrical smeariness – a new phenomenon …