Appendix A. Common Distributions

1. The Normal and Log-Normal Distributions

2. The Bernoulli and Binomial Distributions

3. The Chi Squared Distribution

4. Student’s t-Distribution

Appendix B. Results on Distributions and Priors

1. On Functional Differentiation and Lagrange Multipliers

2. The Maximum Entropy Distribution is Normal

3. Maximal Data Information Prior for Normal with Known Mean

4. Empirical Bayes for the Poisson Distribution With Gamma Prior

5. MAP for the Mean of a Gaussian Distribution with Known Variance

6. The MSE Bayes Estimator is the Posterior Mean