Bayes Linear Statistics

Michael Goldstein, Professor of Statistics, Department of Mathematical Sciences, University of DurhamMichael Goldstein has worked on and researched the Bayes linear approach for around 30 years, his general interests being in the foundations, methodology and applications of Bayesian/subjectivist approaches to statistics. He has an outstanding reputation as one of the most original thinkers in the field, and was a contributing author to Wiley’s “Encyclopedia of Statistical Sciences”. David Wooff, Director of Statistics & Mathematics Consultancy Unit and Senior Lecturer in Statistics, Department of Mathematical Sciences, University of DurhamDavid Wooff has been involved in a long collaboration for over 20 years with Michael Goldstein and others on developing Bayes linear methods, his primary research interest being the general development and application of Bayes linear methodology.

• Preface. 1 The Bayes linear approach.2 Expectation.3 Adjusting beliefs.4 The observed adjustment.5 Partial Bayes linear analysis.6 Exchangeable beliefs.7 Co-exchangeable beliefs.8 Learning about population variances.9 Belief comparison.10 Bayes linear graphical models.11 Matrix algebra for implementing the theory.12 Implementing Bayes linear statistics.A Notation.B Index of examples.C Software for Bayes linear computation.C.1 [B/D].C.2 BAYES-LIN.References.Index.

“The book is an essential reading for all statisticians concerned with the theory and practice of Bayesian methods. There is an accompanying website hosting free software and guides to the calculations within the book.”  (Zentralblatt MATH, 2012)"Summarizing, the book is an interesting compendium of methods of updating beliefs." (Stat Papers, 2010)"The authors are to be congratulated for their pioneering effort in writing this book. Hopefully, more books and articles will follow, and the methodology will someday be part of mainstream statistics." (Technometrics, November 2008)"The authors are to be congratulated for their pioneering effort in writing this book.  Hopefully, more books and articles will follow, and the methodology will someday be part of mainstream statistics." (Technometrics, November 2008)"The book provides an extensive introduction and explanation of the subject and augments theory with numerous illustrative examples, including relevant considerations for specifying beliefs and diagnostics for assessing appropriateness." (Journal of the American Statistical Association, September 2008)