Aspects of uncertainty: a tribute to D.V. Lindley
The biographical opening chapter of this book describes the impact that Dennis Lindley has made on the statistical and decision science communities, an impact that is reflected in the many contributions which follow. Friends and colleagues have contributed previously unpublished papers to show their respect and admiration for his influence in a number of areas of research.
Throughout his career Dennis Lindley has insisted on thinking things through from first principles and on basing developments on firm, logical foundations. Although his fundamental contributions to Bayesian statistics and decision theory are universally recognised, it is less well known that he arrived at the Bayesian position as a result of seeking to establish a rigorous axiomatic justification for classical statistical procedures.
There is no doubt that Dennis Lindley's influence will continue for many years, making this book essential reading for all those interested in Bayesian statistics and decision theory, whether practitioners or researchers.
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THE FIRST 70 YEARS
THE OPERATIONAL BAYESIAN APPROACH
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1994 John Wiley A. F. M. Smith action application approximation Aspects of Uncertainty assessment assumed Bayes estimator Bayesian approach Bayesian inference Bayesian Statistics beliefs Brown choice components consider contingency tables corresponding Dawid decision problem decision-making Dennis Dennis Lindley denote Dirichlet discussion edited by P. R. empirical Bayes equation evaluation example exchangeable expected utility Figure Finetti finite follows Freeman and A. F. M. gamma Gibbs sampling given hierarchical models Hill hyperparameters independent J. M. Bernardo James-Stein estimator judgement latent variables likelihood Lindley Lindley's linear model mathematics measure methods multivariate normal distribution observations obtain optimal outcomes outliers P. R. Freeman parameters posterior density posterior distribution posterior probability pr(Go predictive prior distribution random effects model random variables regression risk function sequence simulated specific Suppose theorem theory tion Uncertainty edited University urine sugar utility function variance vector Wiley & Sons zero