Research Article | OPEN ACCESS
Bayesian Estimation of a Mixture Model
Ilhem Merah and Assia Chadli
Probability and Statistics Laboratory, Badji Mokhtar University, BP12, Annaba 23000, Algeria
Research Journal of Applied Sciences, Engineering and Technology 2015 1:22-28
Received: November ‎10, ‎2014 | Accepted: February ‎8, ‎2015 | Published: May 10, 2015
Abstract
We present the properties of a bathtub curve reliability model having both a sufficient adaptability and a minimal number of parameters introduced by Idée and Pierrat (2010). This one is a mixture of a Gamma distribution G(2, (1/θ)) and a new distribution L(θ). We are interesting by Bayesian estimation of the parameters and survival function of this model with a squared-error loss function and non-informative prior using the approximations of Lindley (1980) and Tierney and Kadane (1986). Using a statistical sample of 60 failure data relative to a technical device, we illustrate the results derived. Based on a simulation study, comparisons are made between these two methods and the maximum likelihood method of this two parameters model.
Keywords:
Approximations, bayes estimator, mixture distribution, reliability, weibull distribution,
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Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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