30 citations · 68 across the 11 of their papers we have counts for
12 papers
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…
Revisiting the orbital tracking problem
John T. Kent, Shambo Bhattacharjee, Weston R. Faber +1
Consider a space object in an orbit about the earth. An uncertain initial state can be represented as a point cloud which can be propagated to later times by the laws of Newtonian…
Observation-centered Kalman filters
John T. Kent, Shambo Bhattacharjee, Weston R. Faber +1
Various methods have been proposed for the nonlinear filtering problem, including the extended Kalman filter (EKF), iterated extended Kalman filter (IEKF), unscented Kalman filter…
Helix modelling through the Mardia-Holmes model framework and an extension of the Mardia-Holmes model
Mai F Alfahad, John T Kent, Kanti V Mardia
For noisy two-dimensional data, which are approximately uniformly distributed near the circumference of an ellipse, Mardia and Holmes (1980) developed a model to fit the ellipse. I…
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…