Overheads for L1,2 Exponential Families, Sufficient and Minimal Sufficient Statistics
Overheads for L3,4 Estimators, the Cramer-Rao Bound and the Rao-Blackwell Theorem
Overheads for L5,6 Complete Sufficient Statistics, Method of Moments; Likelihood principle, Bayesian Inference
and some revision material on Hypothesis testing.
Overheads for L7,8 Asymptotic Normality of posterior distribution, Conjugate priors, Marginals, Predictive Distributions
Overheads for L9,10 Hierarchical Models. Constructing Priors. Uniform, Jeffreys, MaxEnt. HPD intervals.
Overheads for L11,12 Bayesian Hypothesis tests. The Bayes factor.
Overheads for L13,14 Decision Theory. Hypothesis testing as decision problem.
Overheads for L15,16 and accompanying R-code. The Stein paradox. Empirical Bayes. Markov Chain Monte Carlo.
Week 3 classes - Problem Sheet 1
Week 4 classes - Problem Sheet 2
Week 5 classes - Problem Sheet 3
Week 6 classes - Problem Sheet 4
Week 7 classes - Problem Sheet 5
Week 8 classes - Problem Sheet 6 (due 12 midday Wednesday of Week 8 at SPR1).
(In Q2, time starts at 0, Q2b.i means 'calculate the Bayes risk for the new cost' and Q4b it is a1/(a0+a1) not a0/(a0+a1)).
Some material from MT10 can be found at Prof Griffiths' 10-11 BS2a page