Bayesian Estimation and Application of Shifted Exponential Mixture Distribution

  • Farzana Noor Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
  • Muhammad Aslam Department of Basic Sciences, Ripha International University, Islamabad, Pakistan
  • Tabasam Sultana Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan
Keywords: Heterogeneous data, informative prior, one sample prediction, two sample prediction


In this study, Bayesian parameter estimation for the shifted exponential mixture model is conducted by using informative priors under squared error loss function (SELF), weighted loss function (WLF) and quadratic loss function (QLF). Properties of the proposed Bayes estimators (BEs) are highlighted through simulation study. One and two sample prediction bounds are obtained. Proposed mixture model is applied to a real life example.


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