Research Article | OPEN ACCESS
Bayes Estimation for Inverse Rayleigh Model under Different Loss Functions
Guobing Fan
Department of Basic Subjects, Hunan University of Finance and Economics, Changsha 410205,
P.R. China
Research Journal of Applied Sciences, Engineering and Technology 2015 12:1115-1118
Received: October 15, 2014 | Accepted: November 3, 2014 | Published: April 25, 2015
Abstract
The inverse Rayleigh distribution plays an important role in life test and reliability domain. The aim of this article is study the Bayes estimation of parameter of inverse Rayleigh distribution. Bayes estimators are obtained under squared error loss, LINEX loss and entropy loss functions on the basis of quasi-prior distribution. Comparisons in terms of risks with the estimators of parameter under three loss functions are also studied. Finally, a numerical example is used to illustrate the results.
Keywords:
Bayes estimator , entropy loss , LINEX loss , risk function , squared 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): 2040-7467
ISSN (Print): 2040-7459 |
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