Linear Bayes Estimation in Finite Populations with a Categorical Auxiliary Variable

Cocchi, Daniela;Mouchart, Michel
(1990) Statistics : a journal of theoretical and applied statistics — Vol. 21, n° 3, p. 437-454 (1990)

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  • Cocchi, DanielaUniversity of Bologna
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  • Mouchart, MichelUCLouvain
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Abstract
Least squares approximations are given for both the structural expectation and the unsampled population values in a finite population model with an auxiliary variable which is categorical. An ANOVA model is used as a guideline and a motivation. The linear BAYES approach is shown to provide an easy and operational solution to the well known difficulty of integrating out the superpopulation parameters in a BAYESian framework.
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Cocchi, D., & Mouchart, M. (1990). Linear Bayes Estimation in Finite Populations with a Categorical Auxiliary Variable. Statistics : a journal of theoretical and applied statistics, 21(3), 437-454. https://doi.org/10.1080/02331889008802253 (Original work published 1990)