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The problem of prediction of subpopulation (domain) total is studied as in Rao
(2003). The problem is inspired by results obtained by Żądło (2012) who considered two predictors
– empirical best linear unbiased predictor (EBLUP) under some correct model and some
simpler misspecified predictor. In the simulation study he showed that the misspecified predictor
may be in some cases more accurate than...
In the paper properties of a predictor of the form of synthetic ratio estimator of domain
total, known from randomisation approach, are considered. The proof of its ξ-unbiasedness
for simple regression superpopulation model in strata is shown. For the model BLU predictor
is also presented. Equations of prediction variances of both predictors are derived. For considered
predictors the problem of...
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