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Comparison of Bayes Estimators for Parameter and Relia-bility Function for Inverse Rayleigh Distribution by Using Generalized Square Error Loss Function


 
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1. Title Title of document Comparison of Bayes Estimators for Parameter and Relia-bility Function for Inverse Rayleigh Distribution by Using Generalized Square Error Loss Function
 
2. Creator Author's name, affiliation, country Huda A. Rasheed; Department of Mathmetics, College of Science, Mustansiriyah University, IRAQ.; Iraq
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Inverse Rayleigh distribution, Bayesian estimator, Generalized Squared error loss Function, Jefferys prior and Gamma prior
 
4. Description Abstract In the current study, we have been derived some Basyian estimators for the parameter and relia-bility function of the inverse Rayleigh distribution under Generalized squared error loss function. In order to get the best understanding of the behavior of Bayesian analysis, we consider non-informative prior for the scale parameter using Jefferys prior Information as well as informative prior density represented by Gamma distribution. Monte-Carlo simulation have been employed to compare the behavior of different estimates for the scale parameter and reliability function of in-verse Rayleigh distribution based on mean squared errors and Integrated mean squared errors, respectively. In the current study, we observed that more occurrence of Bayesian estimate using Generalized squared error loss function using Gamma prior is better than other estimates for all cases
 
5. Publisher Organizing agency, location Mustansiriyah University
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2018-04-11
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://mjs.uomustansiriyah.edu.iq/ojs1/index.php/MJS/article/view/512
 
10. Identifier Digital Object Identifier (DOI) http://dx.doi.org/10.23851/mjs.v28i2.512
 
11. Source Title; vol., no. (year) Al-Mustansiriyah Journal of Science; Vol 28, No 2 (2017)
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
15. Rights Copyright and permissions Copyright (c) 2018 Al-Mustansiriyah Journal of Science
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