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     Research Journal of Mathematics and Statistics


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
http://dx.doi.org/10.19026/rjms.5.5801  |  © The Author(s) 2013
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,


References


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.

ISSN (Online):  2040-7505
ISSN (Print):   2042-2024
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