Contents 1 Week 1- Bayesian inference. 1.1 Introduction 1.2 Conjugacy 1.3 Credibility and Confidence intervals 2 Bayesian statistics 331-Week 2 2.1 Summary 2.2 Conjugates for likelihoods from the exponential family 2.3 The evidence for the model 2.4 Objective priors 3 Week 3: Bayesian statistics: Prediction 3.1 Examples 3.2 The predictive for model checking 3.3 Using the predictive for model checking and evaluation 4 Bayesian statistics 331 Week 4 Multi-parameter models 4.1 The Multinomial dirichlet family 4.2 The Normal distribution 5 Week 5 Bayesian statistics: Decisions 5.1 Ingredients of a Decision problem 5.2 Bayes Rule and Risk 5.3 Decision theory for pomt estimation 5.4 Evaluating the cost or utility of an experiment