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A Bayesian approach to estimate the reliability P (X > Y ) utilizing an initial guess


 
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1. Title Title of document A Bayesian approach to estimate the reliability P (X > Y ) utilizing an initial guess
 
2. Creator Author's name, affiliation, country Aymen Ibrahim Rawashdeh; Yarmouk University Shafiq Irshidat st, Irbid ZIP Code 21163 Jordan; Jordan
 
2. Creator Author's name, affiliation, country Mohammad Obidat; Yarmouk University Shafiq Irshidat st, Irbid ZIP Code 21163 Jordan; Jordan
 
3. Subject Discipline(s)
 
3. Subject Keyword(s)
 
4. Description Abstract This paper presents a Bayesian approach to estimate the probability that one random variable exceeds another based on two independent Weibull-distributed random variables. The proposed methodology utilizes an initial guess of the reliability through an informative prior, which constitutes the cornerstone of the model. A Monte Carlo simulation study is conducted to compare the performance of the new estimators with both the MaximumLikelihood Estimation (MLE) and the Shrinkage estimators. The comparison is conducted with respect to the Mean Squared Error (MSE) for different values of the scale and shape parameters of the Weibull distribution using small, moderate, and large sample sizes. The proposed method outperforms the two aforementioned alternative methods.
 
5. Publisher Organizing agency, location Coordinamento SIBA - Università del Salento
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2017-04-26
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format pdf
 
10. Identifier Uniform Resource Identifier http://siba-ese.unisalento.it/index.php/ejasa/article/view/17020
 
10. Identifier Digital Object Identifier 10.1285/i20705948v10n1p294
 
11. Source Publication/conference title; vol., no. (year) Electronic Journal of Applied Statistical Analysis; Vol 10, No 1 (2017): Electronic Journal of Applied Statistical Analysis
 
12. Language English=en en
 
13. Relation Supp. Files
 
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