Abstract

TAHIR, MUHAMMAD  and  ASLAM, MUHAMMAD. Bayesian Analysis of the 3-Component Mixture of Exponential Distribution Assuming the Non-Informative Priors. Rev.Colomb.Estad. [online]. 2015, vol.38, n.2, pp.431-452. ISSN 0120-1751.  https://doi.org/10.15446/rce.v38n2.51670.

Bayesian analysis of the 3-component mixture of an Exponential distribution under type-I right censoring scheme is considered in this paper. The Bayes estimators and posterior risks for the unknown parameters are derived under squared error loss function, precautionary loss function and DeGroot loss function assuming the non-informative (uniform and Jeffreys) priors. The Bayes estimators and posterior risks are viewed as a function of the test termination time. A simulation study is given to highlight and compare the properties of the Bayes estimates.

Keywords : Mixture Model; Bayes Estimators; Exponential Distribution; Loss Function; Posterior Risks.

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