Using Composite Estimators to Improve Both Domain and Total Area Estimation

@article{CostaSaenzdeSanPedro2003UsingCE,
  title={Using Composite Estimators to Improve Both Domain and Total Area Estimation},
  author={Alex Costa Saenz de San Pedro and Albert Satorra and Eva M. Duka Ventura},
  journal={Econometrics eJournal},
  year={2003}
}
In this article we propose using small area estimators to improve the estimates of both the small and large area parameters. When the objective is to estimate parameters at both levels accurately, optimality is achieved by a mixed sample design of fixed and proportional allocations. In the mixed sample design, once a sample size has been determined, one fraction of it is distributed proportionally among the different small areas while the rest is evenly distributed among them. We use Monte… 
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