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Journal of the American Statistical Association Volume 68, 1973 - Issue 344
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Theory and Method

Robust Estimation in Finite Populations I

Richard M. Royall Department of Biostatistics, The Johns Hopkins University, Baltimore, Maryland, 21205, USA
&
Jay Herson Department of Community Health Practice, Howard University, Washington, D.C., 20001, USA
Pages 880-889 | Received 01 Apr 1972, Published online: 05 Apr 2012
 
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Abstract

This is an application of a least-squares prediction approach to finite population sampling theory. One way in which this approach differs from the conventional one is its focus on characteristics of particular samples rather than on plans for choosing samples. Here we study samples in which many superpopulation models lead to the same optimal (BLU) estimator. Random sampling is considered in the light of these results.

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