Differential Geometry and Statistics

Discusses the application of differential geometry to statistics. The book commences with the simplest differential manifolds - affine spaces and their relevanc... » 

Discusses the application of differential geometry to statistics. The book commences with the simplest differential manifolds - affine spaces and their relevance to exponential families - and passes into the general theory, the Fisher information metric, the Amari connection and asymptotics. «