56 citations · 112 across the 10 of their papers we have counts for
11 papers
Empirical likelihood for Fréchet means on open books
Karthik Bharath, Huiling Le, Andrew T A Wood +1
Empirical Likelihood (EL) is a type of nonparametric likelihood that is useful in many statistical inference problems, including confidence region construction and -sample probl…
Central limit theorem for intrinsic Frechet means in smooth compact Riemannian manifolds
Thomas Hotz, Huiling Le, Andrew T. A. Wood
We prove a central limit theorem (CLT) for the Frechet mean of independent and identically distributed observations in a compact Riemannian manifold assuming that the population Fr…
A diffusion approach to Stein's method on Riemannian manifolds
Huiling Le, Alexander Lewis, Karthik Bharath +1
We detail an approach to develop Stein's method for bounding integral metrics on probability measures defined on a Riemannian manifold . Our approach exploits the relati…
Principal nested shape space analysis of molecular dynamics data
Ian L. Dryden, Kwang-Rae Kim, Charles A. Laughton +1
Molecular dynamics simulations produce huge datasets of temporal sequences of molecules. It is of interest to summarize the shape evolution of the molecules in a succinct, low-dime…
Smoothing splines on Riemannian manifolds, with applications to 3D shape space
Kwang-Rae Kim, Ian L. Dryden, Huiling Le +1
There has been increasing interest in statistical analysis of data lying in manifolds. This paper generalizes a smoothing spline fitting method to Riemannian manifold data based on…
The Logarithm Map, its Limits and Frechet Means in Orthant Spaces
Dennis Barden, Huiling Le
The first part of the paper studies the expression for, and the properties of, the logarithm map on an orthant space, which is a simple stratified space, with the aim of analysing…