Research Article | OPEN ACCESS
Minimax Estimation of Parameter of Generalized Exponential Distribution under Square Log Error Loss and MLINEX Loss Functions
Lanping Li
Department of Basic Subjects, Hunan University of Finance and Economics, Changsha 410205, P.R. China
Research Journal of Mathematics and Statistics 2013 3:24-27
Received: July 25, 2013 | Accepted: August 06, 2013 | Published: August 30, 2013
Abstract
The aim of this paper is to study the minimax estimation of the generalized exponential distribution. Bayesian estimators and minimax estimators of the parameter of the generalized exponential distribution have been obtained under the well known weighted square error loss, square log error loss and Modified Linear Exponential (MLINEX) loss functions. Finally, Monte Carlo simulation is used to compare the efficiency of these minimax estimators by using mean square error.
Keywords:
Bayes estimator, generalized exponential distribution, MLINEX loss, squared log error loss,
Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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ISSN (Online): 2040-7505
ISSN (Print): 2042-2024 |
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