Bayesian Modeling of 3-Component Mixture of Exponentiated Inverted Weibull Distribution under Noninformative Prior
Joint Authors
Almanjahie, Ibrahim M.
Ahmad, Ishfaq
Cheema, Ammara Nawaz
Aslam, Muhammad
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-29
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Bayesian study of 3-component mixture modeling of exponentiated inverted Weibull distribution under right type I censoring technique is conducted in this research work.
The posterior distribution of the parameters is obtained assuming the noninformative (Jeffreys and uniform) priors.
The different loss functions (squared error, quadratic, precautionary, and DeGroot loss function) are used to obtain the Bayes estimators and posterior risks.
The performance of the Bayes estimators through posterior risks under the said loss functions is investigated through simulation process.
Real data analysis of tensile strength of carbon fiber is also applied for 3 components to conclude the presentation of Bayes estimators.
The limiting expressions are also elaborated for Bayes estimators and posterior risks in this study.
The impact of some test termination times and sample sizes is reported on Bayes estimators.
American Psychological Association (APA)
Cheema, Ammara Nawaz& Aslam, Muhammad& Almanjahie, Ibrahim M.& Ahmad, Ishfaq. 2020. Bayesian Modeling of 3-Component Mixture of Exponentiated Inverted Weibull Distribution under Noninformative Prior. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1201559
Modern Language Association (MLA)
Cheema, Ammara Nawaz…[et al.]. Bayesian Modeling of 3-Component Mixture of Exponentiated Inverted Weibull Distribution under Noninformative Prior. Mathematical Problems in Engineering No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1201559
American Medical Association (AMA)
Cheema, Ammara Nawaz& Aslam, Muhammad& Almanjahie, Ibrahim M.& Ahmad, Ishfaq. Bayesian Modeling of 3-Component Mixture of Exponentiated Inverted Weibull Distribution under Noninformative Prior. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1201559
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1201559