Bayesian Estimators of the parameter and Reliability Function of Inverse Rayleigh Distribution" A comparison study "

     In this paper, Bayesian estimator for the parameter and reliability function of inverse Rayleigh distribution (IRD) were obtained Under three types of loss function, namely, square error loss function (SELF), Modified Square error loss function (MSELF) and Precautionary loss function (PLF),tak...

Full description

Bibliographic Details
Main Authors: Masooma Ali Abod, Hazim Mansoor Gorgee
Format: Article
Language:English
Published: University of Baghdad 2020-04-01
Series:Ibn Al-Haitham Journal for Pure and Applied Sciences
Subjects:
Online Access:https://jih.uobaghdad.edu.iq/index.php/j/article/view/2434
_version_ 1817985092990009344
author Masooma Ali Abod
Hazim Mansoor Gorgee
author_facet Masooma Ali Abod
Hazim Mansoor Gorgee
author_sort Masooma Ali Abod
collection DOAJ
description      In this paper, Bayesian estimator for the parameter and reliability function of inverse Rayleigh distribution (IRD) were obtained Under three types of loss function, namely, square error loss function (SELF), Modified Square error loss function (MSELF) and Precautionary loss function (PLF),taking into consideration the  informative and non- informative  prior. The performance of such estimators was assessed on the basis of mean square error (MSE) criterion by performing a Monte Carlo simulation technique.
first_indexed 2024-04-13T23:53:52Z
format Article
id doaj.art-889209d629184808998999d3b38298e0
institution Directory Open Access Journal
issn 1609-4042
2521-3407
language English
last_indexed 2024-04-13T23:53:52Z
publishDate 2020-04-01
publisher University of Baghdad
record_format Article
series Ibn Al-Haitham Journal for Pure and Applied Sciences
spelling doaj.art-889209d629184808998999d3b38298e02022-12-22T02:24:00ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072020-04-0133210.30526/33.2.2434Bayesian Estimators of the parameter and Reliability Function of Inverse Rayleigh Distribution" A comparison study "Masooma Ali AbodHazim Mansoor Gorgee      In this paper, Bayesian estimator for the parameter and reliability function of inverse Rayleigh distribution (IRD) were obtained Under three types of loss function, namely, square error loss function (SELF), Modified Square error loss function (MSELF) and Precautionary loss function (PLF),taking into consideration the  informative and non- informative  prior. The performance of such estimators was assessed on the basis of mean square error (MSE) criterion by performing a Monte Carlo simulation technique. https://jih.uobaghdad.edu.iq/index.php/j/article/view/2434Inverse Rayleigh distribution, loss function, Risk function prior information, posterior distribution.
spellingShingle Masooma Ali Abod
Hazim Mansoor Gorgee
Bayesian Estimators of the parameter and Reliability Function of Inverse Rayleigh Distribution" A comparison study "
Ibn Al-Haitham Journal for Pure and Applied Sciences
Inverse Rayleigh distribution, loss function, Risk function prior information, posterior distribution.
title Bayesian Estimators of the parameter and Reliability Function of Inverse Rayleigh Distribution" A comparison study "
title_full Bayesian Estimators of the parameter and Reliability Function of Inverse Rayleigh Distribution" A comparison study "
title_fullStr Bayesian Estimators of the parameter and Reliability Function of Inverse Rayleigh Distribution" A comparison study "
title_full_unstemmed Bayesian Estimators of the parameter and Reliability Function of Inverse Rayleigh Distribution" A comparison study "
title_short Bayesian Estimators of the parameter and Reliability Function of Inverse Rayleigh Distribution" A comparison study "
title_sort bayesian estimators of the parameter and reliability function of inverse rayleigh distribution a comparison study
topic Inverse Rayleigh distribution, loss function, Risk function prior information, posterior distribution.
url https://jih.uobaghdad.edu.iq/index.php/j/article/view/2434
work_keys_str_mv AT masoomaaliabod bayesianestimatorsoftheparameterandreliabilityfunctionofinverserayleighdistributionacomparisonstudy
AT hazimmansoorgorgee bayesianestimatorsoftheparameterandreliabilityfunctionofinverserayleighdistributionacomparisonstudy