Title: Estimators of the Parameters of Beta Distribution

Issue: Volume 81 Series B Part 2 Year 2019
Pages: 350 -- 373
The iteration algorithmof computation of effective estimators of the shape parameters of beta distributions using the unbiased estimators of the end point parameters of the random variable were obtained and investigated. For the cases when more accurate estimations of the parameters are required, one more step of computation, realized optimization of the obtained estimations, is necessary. The computation results, realized on the basis of the simulation of the appropriate random samples, demonstrate the correctness of the obtained theoretical outcomes.
Primary 62F10; Secondary 62F12.
Keywords and phrases: Beta distribution, Maximum likelihood estimator, Biased estimator, Unbiased estimator, Iteration algorithm, Optimization algorithm