Small Area Estimation for Skewed Data in the Presence of Zeroes

Karlberg Forough ()

Statistics in Transition New Series, 2015, vol. 16, issue 4, 541-562

Abstract: Skewed distributions with representative outliers pose a problem in many surveys. Various small area prediction approaches for skewed data based on transformation models have been proposed. However, in certain applications of those predictors, the fact that the survey data also contain a non-negligible number of zero-valued observations is sometimes dealt with rather crudely, for instance by arbitrarily adding a constant to each value (to allow zeroes to be considered as “positive observations, only smaller”, instead of acknowledging their qualitatively different nature).

Keywords: small area estimation; representative outliers; zero-valued observations; lognormal-logistic mixture model (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:16:y:2015:i:4:p:541-562:n:10

DOI: 10.21307/stattrans-2015-032

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