Comparison analysis of myriad estimator calculation algorithms

Abstract

Task of myriad estimator application for estimating distribution location parameter is considered. It is known that there is a great number of numerical algorithms for its calculation such as bracketed search, polynomial-root-finding, fixed point search, algorithm based on the Newton method, sequential algorithm, the method proposed by T. Pander and so on. This paper briefly describes aforementioned calculation algorithms and its properties. Algorithms' comparative analysis is performed with respect to both the mean square error of obtained estimates of location parameter and operating speed as well.