## The beta distribution

Definition Using the mean Using ranges for the prior Informative vs. uninformative priors Mean, median, variance Highest Density Interval References Addenda Definition The Beta distribution represents a probability distribution of probabilities. It is the conjugate prior of the binomial distribution (if the prior and the posterior distribution are in the same family, the prior and posterior…

## Likelihood and Probability

The difference between probability and likelihood is central, among others, to understanding MLE. Randy Gallistel has posted a succinct treatment of this topic: The distinction between probability and likelihood is fundamentally important: Probability attaches to possible results; likelihood attaches to hypotheses [my emphasis]. Explaining this distinction is the purpose of this first column. Possible results…