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Bayesian Estimation of Two-Parameter Weibull Distribution Using Extension of Jeffreys' Prior Information with Three Loss Functions
Joint Authors
Guure, Chris Bambey
Ahmed, Al Omari Mohammed
Ibrahim, Noor Akma
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-13
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The Weibull distribution has been observed as one of the most useful distribution, for modelling and analysing lifetime data in engineering, biology, and others.
Studies have been done vigorously in the literature to determine the best method in estimating its parameters.
Recently, much attention has been given to the Bayesian estimation approach for parameters estimation which is in contention with other estimation methods.
In this paper, we examine the performance of maximum likelihood estimator and Bayesian estimator using extension of Jeffreys prior information with three loss functions, namely, the linear exponential loss, general entropy loss, and the square error loss function for estimating the two-parameter Weibull failure time distribution.
These methods are compared using mean square error through simulation study with varying sample sizes.
The results show that Bayesian estimator using extension of Jeffreys' prior under linear exponential loss function in most cases gives the smallest mean square error and absolute bias for both the scale parameter α and the shape parameter β for the given values of extension of Jeffreys' prior.
American Psychological Association (APA)
Guure, Chris Bambey& Ibrahim, Noor Akma& Ahmed, Al Omari Mohammed. 2012. Bayesian Estimation of Two-Parameter Weibull Distribution Using Extension of Jeffreys' Prior Information with Three Loss Functions. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1029633
Modern Language Association (MLA)
Guure, Chris Bambey…[et al.]. Bayesian Estimation of Two-Parameter Weibull Distribution Using Extension of Jeffreys' Prior Information with Three Loss Functions. Mathematical Problems in Engineering No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-1029633
American Medical Association (AMA)
Guure, Chris Bambey& Ibrahim, Noor Akma& Ahmed, Al Omari Mohammed. Bayesian Estimation of Two-Parameter Weibull Distribution Using Extension of Jeffreys' Prior Information with Three Loss Functions. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1029633
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029633