Case Studies in Bayesian Statistics: Volume III (Lecture Notes in Statistics 121) - Softcover

Gatsonis, Constantine

 
9780387949901: Case Studies in Bayesian Statistics: Volume III (Lecture Notes in Statistics 121)

Synopsis

Like the first two volumes, this third volume of case studies presents detailed applications of Bayesian statistical analysis, emphasizing the sci­ entific context. The papers were presented and discussed at a workshop at Carnegie Mellon University, October 5-7, 1995. In this volume, which is dedicated to the memory of Morris H. DeGroot, econometric applica­ tions are highlighted. There are six invited papers, each with accompany­ ing invited discussion, and eight contributed papers (which were selected following refereeing). In addition, we include prefatory recollections about Morrie DeGroot by James o. Berger and Richard M. Cyert. INVITED PAPERS In Probing Public Opinion: The State of Valencia Experience, Jose Bernardo, who was a scientific advisor to the President of the State of Valencia, Spain, summarizes procedures that were set up to probe public opinion, and were used as an input to the government's decision making process. At the outset, a sample survey had to be designed. The problem of finding an optimal Bayesian design, based on logarithmic divergence be­ tween probability distributions, involves minimization over 21483 points in the action space. To solve it, simulated annealing was used. The author describes the objective of obtaining the probability that an individual clas­ sified in a certain group will prefer one of several possible alternatives, and his approach using posterior distributions based on reference priors.

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From the Publisher

This third volume of case studies presents detailed applications of Bayesian statistical analysis. Although the applications are from a variety of areas, the emphasis in this volume is on econometrics. The first two volumes have proved to be valuable references for statistical instructors and data analysts.

Review

From the reviews:

TECHNOMETRICS

"...well written and can be appreciated by those with little biology background...In general, I found many of the papers collected in this book interesting...readers who are interested in applying Bayesian analysis in real case studies may find this book useful. One might consider using this book as supplementary material in graduate-level seminar courses on Bayesian data analysis."

Journal of the American Statistical Association, June 2004

"The volume as a whole illustrates the range of models that can now be fitted following the Markov chain Monte Carlo revolution, assess the behavior of posterior summaries under model misspecifications."

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