A comparison of bayes estimators for the parameter of rayleigh distribution with simulation
Other Title(s)
مقارنة لمقدرات بيز لمعلمة توزيع رايلي باستعمال المحاكاة
Author
Source
Journal of Economics and Administrative Science
Issue
Vol. 24, Issue 106 (31 Oct. 2018), pp.49-77, 29 p.
Publisher
University of Baghdad College of Administration and Economics
Publication Date
2018-10-31
Country of Publication
Iraq
No. of Pages
29
Main Subjects
Economics & Business Administration
Abstract EN
A comparison of double informative and non- informative priors assumed for the parameter of Rayleigh distribution is considered.
Three different sets of double priors are included, for a single unknown parameter of Rayleigh distribution.
We have assumed three double priors: the square root inverted gamma (SRIG) - the natural conjugate family of priors distribution, the square root inverted gamma – the non-informative distribution, and the natural conjugate family of priors - the non-informative distribution as double priors .The data is generating form three cases from Rayleigh distribution for different samples sizes (small, medium, and large).
And Bayes estimators for the parameter is derived under a squared error loss function and weighted squared error loss function) in the cases of the three different sets of prior distributions .Simulations is employed to obtain results.
And determine the best estimator according to the smallest value of mean squared error and weighted mean squared error.
We found that the best estimation for the parameter ( θ) for all sample sizes (n) , when the double prior distribution for θ is SRIG - the natural conjugate family of priors distribution with values (a=5, b=0.5, α =8, β =0.5) and (a=8, b=1, α =5, β =1) for the true value of θ ( θ 0.5 and 1) respectively .Also ,we obtained the best estimation for θ when the double prior distribution for θ is the natural conjugate family of priors-non-informative distribution with values( α =0.5, β =5, c=1) for the true value of θ (θ 1.5).
American Psychological Association (APA)
al-Ubaydi, Janan Abbas Nasir. 2018. A comparison of bayes estimators for the parameter of rayleigh distribution with simulation. Journal of Economics and Administrative Science،Vol. 24, no. 106, pp.49-77.
https://search.emarefa.net/detail/BIM-833404
Modern Language Association (MLA)
al-Ubaydi, Janan Abbas Nasir. A comparison of bayes estimators for the parameter of rayleigh distribution with simulation. Journal of Economics and Administrative Science Vol. 24, no. 106 (2018), pp.49-77.
https://search.emarefa.net/detail/BIM-833404
American Medical Association (AMA)
al-Ubaydi, Janan Abbas Nasir. A comparison of bayes estimators for the parameter of rayleigh distribution with simulation. Journal of Economics and Administrative Science. 2018. Vol. 24, no. 106, pp.49-77.
https://search.emarefa.net/detail/BIM-833404
Data Type
Journal Articles
Language
English
Notes
Includes appendices : p. 63-76
Record ID
BIM-833404