Bayesian Shrinkage Estimator of Burr XII Distribution
Joint Authors
Hassan, N. J.
Hadad, J. Mahdi
Nasar, A. Hawad
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-22
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
In this paper, we derive the generalized Bayesian shrinkage estimator of parameter of Burr XII distribution under three loss functions: squared error, LINEX, and weighted balance loss functions.
Therefore, we obtain three generalized Bayesian shrinkage estimators (GBSEs).
In this approach, we find the posterior risk function (PRF) of the generalized Bayesian shrinkage estimator (GBSE) with respect to each loss function.
The constant formula of GBSE is computed by minimizing the PRF.
In special cases, we derive two new GBSEs under the weighted loss function.
Finally, we give our conclusion.
American Psychological Association (APA)
Hassan, N. J.& Hadad, J. Mahdi& Nasar, A. Hawad. 2020. Bayesian Shrinkage Estimator of Burr XII Distribution. International Journal of Mathematics and Mathematical Sciences،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1172696
Modern Language Association (MLA)
Hassan, N. J.…[et al.]. Bayesian Shrinkage Estimator of Burr XII Distribution. International Journal of Mathematics and Mathematical Sciences No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1172696
American Medical Association (AMA)
Hassan, N. J.& Hadad, J. Mahdi& Nasar, A. Hawad. Bayesian Shrinkage Estimator of Burr XII Distribution. International Journal of Mathematics and Mathematical Sciences. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1172696
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1172696