Bayesian Decision Theory: Course Outline

• Utility theory. 
• The utility of money.
• Rewards, Consequences.
• The loss functions.
• Development of the loss function from the utility theory.
• Certain standard loss functions for inference and predictive problems. 
• Bayes estimators. 
• Bayes predictors.
• Bayesian hypothesis testing under the different loss functions.
• Decision function. 
• Multivariate loss function with Bayesian estimation. 
• Risk.
• Types of risk. 
• Choice of a sample size under posterior Bayes risk.

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