 The use of a three‐level M‐quantile model to map poverty at local administrative unit 1 in PolandStefano Marchetti, Maciej Beręsewicz, Nicola Salvati, Marcin Szymkowiak and Łukasz Wawrowski Journal of the Royal Statistical Society Series A, 2018, vol. 181, issue 4, 1077-1104 Abstract: A three‐level M‐quantile model for small area estimation is proposed. The methodology represents an efficient alternative to prediction by using a three‐level linear mixed model in the presence of outliers and it is based on an extension of M‐quantile regression. A modified method of the traditional M‐quantile (two‐level) approach for poverty estimation is also proposed. In addition, an estimator of the mean‐squared prediction error is described, which is based on a bootstrap procedure. The methodology proposed, as well as the three‐level empirical best predictor, are applied to Polish European Union Survey on Income and Living Conditions and census data to estimate poverty at local administrative unit 1 level in Poland, i.e. the level for which the Central Statistical Office of Poland has not published any official estimates to date. Date: 2018 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:bla:jorssa:v:181:y:2018:i:4:p:1077-1104 Ordering information: This journal article can be ordered from Access Statistics for this article Journal of the Royal Statistical Society Series A is currently edited by A. Chevalier and L. Sharples More articles in Journal of the Royal Statistical Society Series A from Royal Statistical Society Contact information at EDIRC. |
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