Probability and random variables -- Functions of random variables -- An introduction to likelihood inference -- Future topics in likelihood inference -- An introduction to bayesian inference -- Bayesian analysis of linear models -- The prior distribution and bayesian analysis -- Bayesian assessment of hypotheses and models -- Approximate inference via the EM algorithm -- An overview of discrete markov chains -- Markov chain monte carlo -- Implementation and analysis of MCMC samples -- Gaussian and thick-tailed linear models -- Threshold models for categorical responses -- Bayesian analysis of longitudinal data -- Segregation and quantitative trait loci analysis

1. Genetics -- Statistical methods
2. Monte Carlo method
3. Markov processes
4. Bayesian statistical decision theory