Learning Probabilistic Graphical Models in R

Beta-Binomial

The Beta-Binomial prior is another example and a well-known model where we set a prior distribution on the parameter of the distribution of interest. Here we are going to use a binomial distribution with a θ parameter. The θ parameter can be seen as a probability that an event will occur or not, or a proportion of the positive events in a sequence of experiments. Therefore, the parameter θ takes values in [0,1].

Let's first review the Binomial distribution with a simple example: let's say we have a coin and we want to know if the coin is impartial or not when we play the heads or tails game. The game is to toss the coin N times and try to estimate what is the probability θ of obtaining a head. This problem is very important because ...