25 citations · 56 across the 7 of their papers we have counts for
7 papers
Measures of goodness of fit obtained by canonical transformations on Riemannian manifolds
P. E. Jupp, A. Kume
The standard method of transforming a continuous distribution on the line to the uniform distribution on the unit interval is the probability integral transform. Analogous transfor…
Statistics of ambiguous rotations
R. Arnold, P. E. Jupp, H. Schaeben
The orientation of a rigid object can be described by a rotation that transforms it into a standard position. For a symmetrical object the rotation is known only up to multiplicati…
Data-driven Sobolev tests of uniformity on compact Riemannian manifolds
P. E. Jupp
Data-driven versions of Sobolev tests of uniformity on compact Riemannian manifolds are proposed. These tests are invariant under isometries and are consistent against all alternat…
Sobolev tests of goodness of fit of distributions on compact Riemannian manifolds
P. E. Jupp
Classes of coordinate-invariant omnibus goodness-of-fit tests on compact Riemannian manifolds are proposed. The tests are based on Giné's Sobolev tests of uniformity. A condition f…
On Quantum Statistical Inference, I
O. E. Barndorff-Nielsen, R. D. Gill, P. E. Jupp
Recent developments in the mathematical foundations of quantum mechanics have brought the theory closer to that of classical probability and statistics. On the other hand, the uniq…
On Quantum Statistical Inference, II
O. E. Barndorff-Nielsen, R. D. Gill, P. E. Jupp
Interest in problems of statistical inference connected to measurements of quantum systems has recently increased substantially, in step with dramatic new developments in experimen…