Figure 2: Probability estimates and inferences for the Dirichlet -Poisson -Binomial with each α$_{i}$ = 1. The 20 genes with the largest tag counts are arranged in decreasing rank order along the X-axis. The observed tag proportions are marked in dark circles, the standard MLE in dark triangles. The analytically computed posterior mode α$_{i}$ = 1 coincides exactly with the MLE. Also included are the estimated posterior mean and upper and lower 95% Bayesian Credible bounds based on MCMC sampling. Gene Index: Decreasing Rank Estimates 0 5 10 15 20 0.000 0.005 0.010 0.015 0.020 0.025 0.030 Observed MLE , Post. Mode Post. Mean Lower 95% Cred. Set Upper 95% Cred. Set 32