Equivariant prediction in finite populations

Abstract

A theory of equivariant prediction is developed for predicting the population total in finite populations. Minimum risk equivariant predictors (MREP) are derived under the location, scale and locationscale superpopulation models. Under the general linear model, it is shown that the best(linear) unbiased predictor (B(L)UP) is an MREP.

Keywords:

• equivariant predictors
• location
• scale and locationscale superpopulation models
• general linear models
• pitman predictors