Bayes Prediction for a Stratified Regression Superpopulation Model Using Balanced Loss Function |
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Authors: | Ashok K Bansal |
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Institution: | Department of Statistics , University of Delhi , Delhi, India |
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Abstract: | We consider the stratified regression superpopulation model and obtain Bayes predictor of the finite population mean under Zellner's two-criterion balanced loss function (BLF). BLF predictor simplifies to a linear combination of the sample and predictive means. Furthermore, it reduces to some of the well-known classical and Bayes predictors. Relative losses and relative savings loss are obtained to investigate loss robustness of the BLF predictor. It is found to perform better than the usual sample mean as well as the predictive mean in the minimal Bayes predictive expected loss sense. |
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Keywords: | Balanced loss function Balanced stratified sample Bayes predictive expected loss Loss robustness Relative loss Relative savings loss Stratified regression model |
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