Search

This paper introduces an area-level Poisson mixed model with SAR(1) spatially correlated random effects. Small area predictors of proportions and counts are derived from the new model and the corresponding mean squared errors are estimated by parametric bootstrap. The behaviour of the introduced predictors is empirically investigated by running model-based simulation experiments. An application to real data from the Spanish living conditions survey of Galicia (Spain) is given. The target is the estimation of domain proportions of women under the poverty line. [ABSTRACT FROM AUTHOR]

This paper investigates the small area estimation of population averages of unit-level compositional data. The new methodology transforms the compositions into vectors of R m and assumes that the vectors follow a multivariate nested error regression model. Empirical best predictors of domain indicators are derived from the fitted model, and their mean squared errors are estimated by parametric bootstrap. The empirical analysis of the behavior of the introduced predictors is investigated by means of simulation experiments. An application to real data from the Spanish household budget survey is given. The target is to estimate the average of proportions of annual household expenditures on food, housing and others, by Spanish provinces. [ABSTRACT FROM AUTHOR]

This paper introduces area-level compositional mixed models by applying transformations to a multivariate Fay–Herriot model. Small area estimators of the proportions of the categories of a classification variable are derived from the new model, and the corresponding mean squared errors are estimated by parametric bootstrap. Several simulation experiments designed to analyse the behaviour of the introduced estimators are carried out. An application to real data from the Spanish Labour Force Survey of Galicia (north-west of Spain), in the first quarter of 2017, is given. The target is the estimation of domain proportions of people in the four categories of the variable labour status: under 16 years, employed, unemployed and inactive. [ABSTRACT FROM AUTHOR]

The article Small area estimation of proportions under area-level compositional mixed models, written by María Dolores Esteban, María José Lombardía, Esther López-Vizcaíno, Domingo Morales & Agustín Pérez, was originally published Online First without Open Access. After publication in volume 29, issue 3, page 793–818, the author decided to opt for Open Choice and to make the article an Open Access publication. Therefore, the copyright of the article has been changed to © Authors 2021and the article is forthwith distributed under the terms of the Creative Commons Attribution. [ABSTRACT FROM AUTHOR]