Abstract
AbstractThis paper is focussed on agriculture small area models for predicting minor crops. In the application considered here, the study domain is often poor in the crop of interest leading to irregular and sparsely distributed plots, usually smaller than the segments used in the sampling design. Hence, the variability among the sampled units becomes large in those areas with a high number of segments. To date, models including weights to account for heteroscedasticity, as well as models considering sampling weights to achieve design‐consistency have been proposed to derive estimators of small area means or totals. In this work, we discuss extensions of these models and the convenience of using both types of weighting. The models performance is illustrated for predicting the total area occupied by olive trees in a region of Navarra, Spain. Copyright © 2006 John Wiley & Sons, Ltd.
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