Bayesian confidence interval: An interval of the posterior distribution which is so that the density of it at any point inside the interval is greater than that of the density at any point outside and that the area which comes under the curve for that interval is equal to the prespeci?ed probability level. For any probability level there is basically only one such interval, which is also often called as the highest posterior density area. Unlike the usual con?dence interval related with the frequentist inference, here the intervals state the range within which parameters lie with a certain probability.