Volume 17, Issue 3, September 2018, Pages 537 - 553
Estimating the Parameters of a Generalized Exponential Distribution
Authors
Syed Afzal Hossain
Department of Mathematics and Statistics, University of Nebraska at Kearney
Received 22 March 2017, Accepted 13 September 2018, Available Online 30 September 2018.
- DOI
- 10.2991/jsta.2018.17.3.9How to use a DOI?
- Keywords
- Generalized exponential distribution; Maximum Likelihood Estimation; Method of Moments; Moment generating function; Sufficient condition
- Abstract
A three-parameter generalized exponential distribution was suggested by Hossain and Ahsanullah [5]. Some important aspects of this distribution in the area of estimation remain unexplored in the earlier works. We discuss here the maximum likelihood (ML) method and the method of moments to estimate the parameters. The sufficient condition for the existence of a unique solution of the parameters obtained by the method of moments is derived. Finally, a popular real life numerical example is illustrated to investigate the application of both methods of estimation and the results obtained therein are compared with four similar well known three-parameter distributions.
- Copyright
- © 2018, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).
Download article (PDF)
View full text (HTML)
Cite this article
TY - JOUR AU - Syed Afzal Hossain PY - 2018 DA - 2018/09/30 TI - Estimating the Parameters of a Generalized Exponential Distribution JO - Journal of Statistical Theory and Applications SP - 537 EP - 553 VL - 17 IS - 3 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2018.17.3.9 DO - 10.2991/jsta.2018.17.3.9 ID - Hossain2018 ER -