Highest Posterior Density Region and Central Credible Region
问题 Given a posterior p(Θ|D) over some parameters Θ, one can define the following: Highest Posterior Density Region: The Highest Posterior Density Region is the set of most probable values of Θ that, in total, constitute 100(1-α) % of the posterior mass. In other words, for a given α, we look for a p * that satisfies: and then obtain the Highest Posterior Density Region as the set: Central Credible Region: Using the same notation as above, a Credible Region (or interval) is defined as: Depending