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Estimation of the Shape Parameter of Ged Distribution for a Small Sample Size Cover

Estimation of the Shape Parameter of Ged Distribution for a Small Sample Size

Open Access
|Dec 2014

Abstract

In this paper a new method of estimating the shape parameter of generalized error distribution (GED), called ‘approximated moment method’, was proposed. The following estimators were considered: the one obtained through the maximum likelihood method (MLM), approximated fast estimator (AFE), and approximated moment method (AMM). The quality of estimator was evaluated on the basis of the value of the relative mean square error. Computer simulations were conducted using random number generators for the following shape parameters: s = 0.5, s = 1.0 (Laplace distribution) s = 2.0 (Gaussian distribution) and s = 3.0.

DOI: https://doi.org/10.2478/foli-2014-0103 | Journal eISSN: 1898-0198 | Journal ISSN: 1730-4237
Language: English
Page range: 35 - 46
Submitted on: Oct 28, 2013
Accepted on: Jul 1, 2014
Published on: Dec 11, 2014
Published by: University of Szczecin
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2014 Jan Purczyński, Kamila Bednarz-Okrzyńska, published by University of Szczecin
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.