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
AbstractA 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.
|Journal series||Journal of the Royal Statistical Society Series A-Statistics in Society, ISSN 0964-1998, (A 40 pkt)|
|Publication size in sheets||1.35|
|Keywords in English||small area estimation, Polish Census of Population and Housing 2011, European Survey on Income and Living Conditions, bootstrap method, poverty indicators|
|ASJC Classification||; ; ;|
|Score||= 40.0, 12-03-2020, ArticleFromJournal|
|Publication indicators||= 0; : 2018 = 1.937; : 2018 = 1.785 (2) - 2018=2.467 (5)|
|Citation count*||7 (2020-09-23)|
|Uwagi||First online 08 January 2018|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.