Bayesian estimation and experimental design in linear regression models

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J. Wiley, Jul 9, 1991 - Mathematics - 296 pages
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Presents a clear treatment of the design and analysis of linear regression experiments in the presence of prior knowledge about the model parameters. Develops a unified approach to estimation and design; provides a Bayesian alternative to the least squares estimator; and indicates methods for the construction of optimal designs for the Bayes estimator. Material is also applicable to some well-known estimators using prior knowledge that is not available in the form of a prior distribution for the model parameters; such as mixed linear, minimax linear and ridge-type estimators.

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Bayesian regression and prior distributions
Bayesian estimation
Bayesian experimental design

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