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Karlberg Forough (Luxembourg Statistical Services)
Small Area Estimation for Skewed Data in the Presence of Zeroes
Statistics in Transition, 2015, vol. 16, nr 4, s. 541-562, rys., tab., aneks, bibliogr. s. 557-559
Tytuł własny numeru
The Measurement of Subjective Well-Being in Survey Research
Słowa kluczowe
Statystyka małych obszarów, Metody estymacji, Estymatory
Small area estimates, Estimation methods, Estimators
summ., Materiały z międzynarodowej konferencji Small Area Estimation (SAE 2014), Poznań.
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). On the other hand, while a lognormal-logistic model has been proposed (to incorporate skewed distributions as well as zeroes), that model does not include any hierarchical aspects, and is therefore not explicitly adapted to small area prediction. In this paper, we consolidate the two approaches by extending one of the already established log-transformation mixed small area prediction models to incorporate a logistic component. This allows for the simultaneous, systematic treatment of domain effects, outliers and zero-valued observations in a single framework. We benchmark the resulting model-based predictors (against relevant alternatives) in applications to simulated data as well as empirical data from the Australian Agricultural and Grazing Industries Survey. (original abstract)
Dostępne w
Biblioteka Główna Uniwersytetu Ekonomicznego w Krakowie
Biblioteka Główna Uniwersytetu Ekonomicznego w Katowicach
Biblioteka Główna Uniwersytetu Ekonomicznego we Wrocławiu
Pełny tekst
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