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Bayesian Estimations from the Two-Parameter Bathtub-Shaped Lifetime Distribution Based on Record Values

Pakistan Journal of Statistics and Operation Research

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Title Bayesian Estimations from the Two-Parameter Bathtub-Shaped Lifetime Distribution Based on Record Values
 
Creator Selim, Mahmoud Ali; Department of Statistics, Commerce Faculty, Al-Azhar University, Cairo
 
Subject Statistics
Bayesian; Upper record values; Maximum likelihood; Soland's method

 
Description This article discusses Bayesian and non-Bayesian estimations problems of the unknown parameters for the two-parameter bathtub-shaped lifetime distribution based on upper record values. The ML and the Bayes estimates based on record values are derived for the two unknown parameters as well as hazard function. When the Bayesian approach is considered, under the assumption that both parameters are unknown, the Bayes estimators cannot be obtained in explicit forms. An approximation form due to Soland (Soland (1969)) is used for obtaining the Bayes estimates based on a conjugate prior for the first shape parameter and a discrete prior for the second shape parameter of this model. This is done with respect to the squared error loss and LINEX loss functions. The estimation procedure is then applied to real data set and simulation data.
 
Publisher College of Statistical and Actuarial Sciences
 
Contributor
 
Date 2012-03-28
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Peer-reviewed Article
 
Format application/pdf
 
Identifier http://www.pjsor.com/index.php/pjsor/article/view/328
10.18187/pjsor.v8i2.328
 
Source Pakistan Journal of Statistics and Operation Research; Vol 8. No. 2, 2012; 155-165
2220-5810
1816-2711
 
Language eng
 
Relation http://www.pjsor.com/index.php/pjsor/article/view/328/209