Domain estimation under design-based models

نویسندگان

  • Viviana B. Lencina
  • Julio M. Singer
  • Heleno Bolfarine
  • Luz Mery González
چکیده

We obtain an optimal estimator for a domain (small area) total using a linear least-squares prediction approach under a design-based model. The optimal estimator is the same as that obtained under a super-population model approach, and reproduces the classical form of the synthetic estimator in an extreme case. Using the concept of M-optimality, we generalize a well known theorem (Royall, 1976) originally considered for super-population models and extend the results to include the estimation of the vector of the different domain totals.

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تاریخ انتشار 2006