Exponential Family Nonlinear Models (Lecture Notes in Statistics)

This book gives a comprehensive introduction to exponential family nonlinear models, which are the natural extension of generalized linear models and normal nonlinear regression models. The differential geometric framework is presented for these models and the geometric methods are widely used in this book. The author also pays more attention to regression diagnostics and influence analysis. The book is ideally suited for researchers who work in statistical inference and for graduate students with a basic knowledge of statistics.