The First and last display is a visual aid you can use to judge whether the MCMC sample has converged to the posterior distribution. The First and last display is a simultaneous display of two estimates of the distribution – one obtained from the first third of the accumulated samples and another obtained from the last third.
In the example above, the distributions of the first and last thirds of the analysis samples are almost identical, which suggests that Amos has successfully identified the important features of the posterior distribution.