Bayes Analysis for the Scale Parameter of Gompertz Distribution
DOI:
https://doi.org/10.33095/jeas.v28i132.2274Keywords:
The Gompertz distribution, bayes estimation, the square error loss function, the exponential error loss function, توزيع Gompertz، معلمة القياس ، تقدير بيز ، دالة الخسارة التربيعية، ودالة الخسارة الاسيةAbstract
In this paper, we investigate the behavior of the bayes estimators, for the scale parameter of the Gompertz distribution under two different loss functions such as, the squared error loss function, the exponential loss function (proposed), based different double prior distributions represented as erlang with inverse levy prior, erlang with non-informative prior, inverse levy with non-informative prior and erlang with chi-square prior.
The simulation method was fulfilled to obtain the results, including the estimated values and the mean square error (MSE) for the scale parameter of the Gompertz distribution, for different cases for the scale parameter of the Gompertz distribution, with different samples sizes. The estimates have been compared in terms of their mean-squared error (MSE).
The results of this paper show that bayes estimators of the scale parameter of the Gompertz distribution, under the exponential loss function (proposed) are superior to the bayes estimators under the squared error loss function , based on erlang-chi-square double prior with for all samples sizes and for all the true values of , in terms of their mean-squared error (MSE)
Downloads
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Articles submitted to the journal should not have been published before in their current or substantially similar form or be under consideration for publication with another journal. Please see JEAS originality guidelines for details. Use this in conjunction with the points below about references, before submission i.e. always attribute clearly using either indented text or quote marks as well as making use of the preferred Harvard style of formatting. Authors submitting articles for publication warrant that the work is not an infringement of any existing copyright and will indemnify the publisher against any breach of such warranty. For ease of dissemination and to ensure proper policing of use, papers and contributions become the legal copyright of the publisher unless otherwise agreed.
The editor may make use of Turnitin software for checking the originality of submissions received.
How to Cite
