This is the second volume in the major two-volume set of advanced texts in econometrics. Christian Gourieroux and Alain Monfort's Statistics and Econometric Models Volume 2 aims to present as completely as possible the methods of statistical inference with special reference to their economic applications. The reader will find a description not only of the classical concepts and results of mathematical statistics, but also of concepts and methods recently developed for the specific needs of econometrics. The authors have sought to avoid an overly technical presentation and go to some lengths to encourage an intuitive understanding of the results by providing numerous examples throughout. The breadth of approaches and the extensive coverage of this volume and the preceding Statistics and Econometric Models Volume 1, General Concepts, Estimation, Prediction and Algorithms provide for a thorough and entirely self-contained course in modern econometrics. While Volume 1 provides an introduction to general concepts and methods in statistics and econometrics, and goes on to cover estimation and prediction. Volume 2 focuses on testing, confidence regions, model selection, and asymptotic theory.