Simplified Method of GED Distribution Parameters Estimation

In this paper a simplified method of estimating GED distribution parameters has been proposed. The method uses first, second and 0.5-th order absolute moments. Unlike in maximum likelihood method, which involves solving a set of equations including special mathematical functions, the solution is given in the form of a simple relation. Application of three different approximations of Euler's gamma function value results in three different sets of results for which the χ² test is conducted. As a final solution (estimation of distribution parameters) the set is chosen which yields the smallest value of the χ² test statistic. The method proposed in this paper yields the χ² test statistic value which does not exceed the value of statistic for a distribution with parameters obtained with the maximum likelihood method.