The complex Watson distribution and shape analysis
Journal of the Royal Statistical Society: Series B (Statistical Methodology) · 1999 · Volume 61 · Issue 4
Abstract
The complex Watson distribution is an important simple distribution on the complex sphere which is used in statistical shape analysis. We describe the density, obtain the integrating constant and provide large sample approximations. Maximum likelihood estimation and hypothesis testing procedures for one and two samples are described. The particular connection with shape analysis is discussed and we consider an application examining shape differences between normal and schizophrenic brains. We make some observations about Bayesian shape inference and finally we describe a more general rotationally symmetric family of distributions.
Keywords
Complex Bingham distribution, Complex sphere, Complex Watson distribution, Distribution, G. S. Watson, Landmarks, Maximum likelihood, Shape, Shape analysis
Enable JavaScript for citation tools and additional paper interactions.