The new edition contains a new and comprehensive "teach-yourself" section on a simple but powerful approach, now well-known in parts of industry but less so in academia, to analysing and interpreting process data. This is a particularly valuable enabler to personnel who are not qualified in traditional statistical methods to actively contribute to quality-improvement projects. The second edition also includes a much-improved glossary of symbols and notation.
The book covers asymptotic efficiency in semiparametric models from the Le Cam and Fisherian points of view as well as some finite sample size optimality criteria based on Lehmann–Scheffé theory. It develops the theory of semiparametric maximum likelihood estimation with applications to areas such as survival analysis. It also discusses methods of inference based on sieve models and asymptotic testing theory. The remainder of the book is devoted to model and variable selection, Monte Carlo methods, nonparametric curve estimation, and prediction, classification, and machine learning topics. The necessary background material is included in an appendix.
Using the tools and methods developed in this textbook, students will be ready for advanced research in modern statistics. Numerous examples illustrate statistical modeling and inference concepts while end-of-chapter problems reinforce elementary concepts and introduce important new topics. As in Volume I, measure theory is not required for understanding.
The solutions to exercises for Volume II are included in the back of the book.
Check out Volume I for fundamental, classical statistical concepts leading to the material in this volume.
All the features of the first edition are retained including the full range of best-known standard statistical techniques, as well as some lesser-known methods that can be hard to track down elsewhere. The explanatory introductions to each section have been updated and the second edition benefits from the inclusion of a valuable and comprehensive new section on an approach to simple but powerful investigation of process data. This will help the book continue in its position as the prime statistical reference for all students of mathematics, engineering and the social sciences, and everyone who needs effective methods for analysing data.