Abstract
|
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, ,
|
Abstract
|
PDF
|
HTML |
|
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 |
|
Information |
|
|
|
Sales & Services |
|
|
|