New Closed Form Estimators for the Beta Distribution

In this paper, we detail closed form estimators for beta distribution that are simpler than those proposed by Tamae, Irie and Kubokawa. The proposed estimators are shown to have smaller asymptotic variances and smaller asymptotic covariances compared to Tamae estimators and maximum likelihood estimators. The proposed estimators are also shown to perform better in real data applications.

Automated summary

This paper presents closed form estimators for the beta distribution that are simpler and perform better than those proposed by Tamae, Irie, and Kubokawa. The proposed estimators have smaller asymptotic variances and covariances compared to Tamae estimators and maximum likelihood estimators. They also exhibit better performance in real data applications.