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     Research Journal of Applied Sciences, Engineering and Technology

    Abstract
2015(Vol.9, Issue:10)
Article Information:

Bayes Estimation of Shape Parameter of Minimax Distribution under Different Loss Functions

Lanping Li
Corresponding Author:  Lanping Li 
Submitted: ‎November ‎10, ‎2014
Accepted: January ‎8, ‎2015
Published: April 05, 2015
Abstract:
The object of this study is to study the Bayes estimation of the unknown shape parameter of Minimax distribution. The prior distribution used here is the non-informative quasi-prior of the parameter. Bayes estimators are derived under squared error loss function and three asymmetric loss functions, which are the LINEX loss, precaution loss and entropy loss functions. Monte Carlo simulations are performed to compare the performances of these Bayes estimates under different situations. Finally, we summarize the result and give the conclusion of this study.

Key words:  Bayes estimator, entropy loss, LINEX loss, minimax distribution, precautionary loss, squared error loss,
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Cite this Reference:
Lanping Li, . Bayes Estimation of Shape Parameter of Minimax Distribution under Different Loss Functions . Research Journal of Applied Sciences, Engineering and Technology, (10): 830-833.
ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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