The paper proposes Metropolis adjusted Langevin and Hamiltonian Monte Carlo sampling
methods defined on the Riemann manifold to resolve the shortcomings of existing Monte …

Geometry is a broad area that has applications to many areas of statistics. In this article the
focus will be on the role of dual information geometries to statistical inference. A great deal …

In this thesis, we study local mixture models with a Hilbert space structure. First, we consider
the fibre bundle structure of local mixture models in a Hilbert space. Next, the spectral …