Prediction of Ordered Random Effects in a Simple Small Area Model

@inproceedings{Malinovsky2009PredictionOO,
  title={Prediction of Ordered Random Effects in a Simple Small Area Model},
  author={Yaakov Malinovsky and Yosef Rinott},
  year={2009}
}
Prediction of a vector of ordered parameters or part of it arises naturally in the context of Small Area Estimation (SAE). For example, one may want to estimate the parameters associated with the top ten areas, the best or worst area, or a certain percentile. We use a simple SAE model to show that estimation of ordered parameters by the corresponding ordered estimates of each area separately does not yield good results with respect to MSE. Shrinkage-type predictors, with an appropriate amount… CONTINUE READING

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