Abstract
In the previous chapter, we presented the structure of predictors of population quantities for various superpopulation models (SM1-SM6). In particular, we considered unbiased predictors and introduced the criterion of minimum mean squared error predictors. In this chapter, we present the theory by which optimal predictors can be derived. This theory is an adaptation of optimal estimation theory for infinite populations to prediction theory for finite populations under the superpopulation model.
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© 1992 Springer-Verlag New York Inc.
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Bolfarine, H., Zacks, S. (1992). Optimal Predictors of Population Quantities. In: Prediction Theory for Finite Populations. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2904-9_3
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DOI: https://doi.org/10.1007/978-1-4612-2904-9_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7713-2
Online ISBN: 978-1-4612-2904-9
eBook Packages: Springer Book Archive