The use of a three‐level M‐quantile model to map poverty at local administrative unit 1 in Poland

Stefano Marchetti , Maciej Beręsewicz , Nicola Salvati , Marcin Szymkowiak , Łukasz Wawrowski


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.
Author Stefano Marchetti - University of Pisa, Italy
Stefano Marchetti,,
, Maciej Beręsewicz (WIiGE / KS)
Maciej Beręsewicz,,
- Department of Statistics
, Nicola Salvati - University of Pisa, Italy
Nicola Salvati,,
, Marcin Szymkowiak (WIiGE / KS)
Marcin Szymkowiak,,
- Department of Statistics
, Łukasz Wawrowski (WIiGE / KS)
Łukasz Wawrowski,,
- Department of Statistics
Journal seriesJournal of the Royal Statistical Society Series A-Statistics in Society, ISSN 0964-1998, (A 40 pkt)
Issue year2018
Publication size in sheets1.35
Keywords in Englishsmall area estimation, Polish Census of Population and Housing 2011, European Survey on Income and Living Conditions, bootstrap method, poverty indicators
ASJC Classification1804 Statistics, Probability and Uncertainty; 2002 Economics and Econometrics; 3301 Social Sciences (miscellaneous); 2613 Statistics and Probability
Languageen angielski
Score (nominal)40
Score sourcejournalList
ScoreMinisterial score = 40.0, 12-03-2020, ArticleFromJournal
Publication indicators WoS Citations = 0; Scopus SNIP (Source Normalised Impact per Paper): 2018 = 1.937; WoS Impact Factor: 2018 = 1.785 (2) - 2018=2.467 (5)
Citation count*7 (2020-09-23)
Additional fields
UwagiFirst online 08 January 2018
Share Share

Get link to the record

* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
Are you sure?