| Question 1. Normal mean, known variance |
Conjugate analysis for normal models |
✓ |
| Question 2. Normal variance, known mean |
Conjugate analysis for normal models |
✓ |
| Question 3. Normal mean and variance |
Conjugate analysis for normal models |
✓ |
| Question 4. Jointly conjugate normal–inverse-gamma |
Conjugate analysis for normal models |
✓ |
| Question 5. Normal–inverse-\chi^2 regression |
Bayesian linear regression |
✓ |
| Question 6. Geometric–beta Gibbs sampler |
Markov chains, Gibbs sampling, and Metropolis–Hastings |
✓ |
| Question 7. Lognormal variance |
Conjugate analysis for normal models |
✓ |
| Question 8. Exponential versus gamma lifetimes |
Bayesian hypotheses and model comparison |
✓ |
| Question 9. Gibbs and random-walk Metropolis–Hastings |
Markov chains, Gibbs sampling, and Metropolis–Hastings |
✓ |
| Question 10. Beta downtime |
Exponential families and conjugacy |
✓ |
| Question 11. Geometric success probability |
Exponential families and conjugacy |
✓ |
| Question 12. Improper prior for a normal sample |
Conjugate analysis for normal models |
✓ |
| Question 13. Binomial–beta Gibbs sampler |
Markov chains, Gibbs sampling, and Metropolis–Hastings |
✓ |
| Question 14. Inverse-gamma waiting time |
Exponential families and conjugacy |
✓ |
| Question 15. Battery lifetimes and a Bayes factor |
Bayesian hypotheses and model comparison |
✓ |
| Question 16. Mixed binomial–beta Gibbs sampler |
Markov chains, Gibbs sampling, and Metropolis–Hastings |
✓ |
| Question 17. Hierarchical Poisson model |
Hierarchical Bayes |
✓ |
| Question 18. Bayesian model selection |
Bayesian hypotheses and model comparison |
✓ |