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     Research Journal of Applied Sciences, Engineering and Technology

    Abstract
2015(Vol.10, Issue:1)
Article Information:

Bayesian Estimation of a Mixture Model

Ilhem Merah and Assia Chadli
Corresponding Author:  Ilhem Merah 
Submitted: ‎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.

Key words:  Approximations, bayes estimator, mixture distribution, reliability, weibull distribution, ,
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Cite this Reference:
Ilhem Merah and Assia Chadli, . Bayesian Estimation of a Mixture Model. Research Journal of Applied Sciences, Engineering and Technology, (1): 22-28.
ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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