Underlying eccentricity distribution results from our HBM for all warm Jupiters. The blue curve displays the median inferred underlying e distributions modeled by the Beta distribution. Solid lines represent a truncated Gaussian hyperprior, while the dashed lines represent a log-uniform hyperprior. Thin lines in the background show randomly sampled distributions from the α and β hyperparameter posteriors. A summation of the eccentricity posteriors is plotted as a histogram in gray.