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Simplified Method of GED Distribution Parameters Estimation Cover

Simplified Method of GED Distribution Parameters Estimation

By: Jan Purczyński  
Open Access
|Jun 2012

Abstract

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.

DOI: https://doi.org/10.2478/v10031-011-0043-9 | Journal eISSN: 1898-0198 | Journal ISSN: 1730-4237
Language: English
Page range: 35 - 49
Published on: Jun 28, 2012
Published by: University of Szczecin
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2012 Jan Purczyński, published by University of Szczecin
This work is licensed under the Creative Commons License.

Volume 10 (2011): Issue 2 (June 2011)