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Biometrika 1987 74(3):659-660; doi:10.1093/biomet/74.3.659
© 1987 by Biometrika Trust
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MISCELLANEA

Optimality of Royall's predictor under a Gaussian superpopulation model

S. M. TAM

Survey Design and Development Section, Bureau of Agricultural Economics Canberra, ACT 2601, Australia

This note shows that under the assumption of a Gaussian superpopulation model with a general symmetric and positive-definite covariance matrix, the model-based predictor of Royall (1976) is the unbiased minimum mean squared error predictor of the total of a given finite population. This somewhat anticipated result is a generalization of recent published work in which it was derived under more restrictive assumptions.

Key Words: Minimum mean squared error predictor • Model-based approach • Survey sampling


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