30 citations · 68 across the 11 of their papers we have counts for
6 papers · 1 filter
Directional distributions and the half-angle principle
John T. Kent
Angle halving, or alternatively the reverse operation of angle doubling, is a useful tool when studying directional distributions. It is especially useful on the circle where, in p…
Mixture models for spherical data with applications to protein bioinformatics
Kanti V. Mardia, Stuart Barber, Philippa M. Burdett +2
Finite mixture models are fitted to spherical data. Kent distributions are used for the components of the mixture because they allow considerable flexibility. Previous work on such…
Score matching estimators for directional distributions
Kanti V Mardia, John T Kent, Arnab K Laha
One of the major problems for maximum likelihood estimation in the well-established directional models is that the normalising constants can be difficult to evaluate. A new general…
Manifolds of Projective Shapes
Thomas Hotz, Florian Kelma, John T. Kent
The projective shape of a configuration of k points or "landmarks" in RP(d) consists of the information that is invariant under projective transformations and hence is reconstructa…
A new method to simulate the Bingham and related distributions in directional data analysis with applications
John T. Kent, Asaad M. Ganeiber, Kanti V. Mardia
A new acceptance-rejection method is proposed and investigated for the Bingham distribution on the sphere using the angular central Gaussian distribution as an envelope. It is show…
Shrinkage estimation with a matrix loss function
Reman Abu-Shanab, John T. Kent, William E. Strawderman
Consider estimating the n by p matrix of means of an n by p matrix of independent normally distributed observations with constant variance, where the performance of an estimator is…