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Bayes Estimation and Prediction under Informative Sampling Design

On 03/06/2017, Dr.  Abdulhakeem Eideh published a new study in Pakistan Journal of Statistics and Operation Research(PJSOR),titled Bayes Estimation and Prediction under Informative Sampling Design. The articleaimed to study the problem of Bayes estimation of the parameter that characterise the superpopulation model, and Bayes prediction of finite population total, from a sample survey data selected from a finite population using informative probability sampling design.The results of this study demonstrated that, (http://www.pjsor.com/index.php/pjsor/article/view/1574/562), the new predictors take into account informative sampling design. Thus, provides new justification for the broad use of best linear unbiased predictors (model-based school) in predicting finite population parameters in case of not accounting of complex sampling design. Furthermore, we show that the behaviours of the present estimators and predictors depends on the informativeness parameters. Also the use of the Bayes estimators and predictors that ignore the informative sampling design yields biased Bayes estimators and predictors. One of the most important feature of this paper is, specifying prior distribution for the parameters of the sample distribution makes life easier than the population parameters.

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