Fig. 2

Estimated parameter values \(\alpha \) (blue) and \(\beta \) (red) from a dataset consisting of the ten observations \(0.01, \dots , 0.10\) and 10 observations of \(\varepsilon \) for varying values of \(\varepsilon \). Estimation was done using MLE (dotted lines) as implemented in the R package betareg and by our (moment-based) method (solid lines).