B1207
Title: Statistical models and methods for data on the hyperboloid
Authors: Andrew Wood - Australian National University (Australia) [presenting]
Abstract: The hyperboloid is one of the classical non-Euclidean manifolds which has constant negative curvature. Although a few papers have considered statistical models and methods for data on the hyperboloid, overall, the literature is rather limited, especially in comparison with the extensive developments for data on the unit sphere. However, in recent years, there has been considerable interest in embedding data with hierarchical structures, such as phylogenetic trees, in the hyperboloid. Consequently, there is a clear need to develop statistical models and tools for data on the hyperboloid. A new distribution on the hyperboloid is presented, and some statistical methods suitable for such data are discussed.
