Small area estimation of expenditure means and ratios under a unit-level bivariate linear mixed model.

Content Provider	Europe PMC
Author	Esteban, María Dolores Lombardía, María José López-Vizcaíno, Esther Morales, Domingo Pérez, Agustín
Copyright Year	2020
Abstract	Under a unit-level bivariate linear mixed model, this paper introduces small area predictors of expenditure means and ratios, and derives approximations and estimators of the corresponding mean squared errors. For the considered model, the REML estimation method is implemented. Several simulation experiments, designed to analyze the behavior of the introduced fitting algorithm, predictors and mean squared error estimators, are carried out. An application to real data from the Spanish household budget survey illustrates the behavior of the proposed statistical methodology. The target is the estimation of means of food and non-food household annual expenditures and of ratios of food household expenditures by Spanish provinces.
Related Links	https://europepmc.org/backend/ptpmcrender.fcgi?accid=PMC9041861&blobtype=pdf
Page Count	26
ISSN	02664763
Volume Number	49
DOI	10.1080/02664763.2020.1803809
PubMed Central reference number	PMC9041861
Issue Number	1
PubMed reference number	35707801
Journal	Journal of Applied Statistics [J Appl Stat]
e-ISSN	13600532
Language	English
Publisher	Taylor & Francis
Publisher Date	2020-08-05
Access Restriction	Open
Rights License	© 2020 Informa UK Limited, trading as Taylor & Francis Group
Subject Keyword	Multivariate linear mixed models nested error regression models best linear unbiased predictors ratio estimators small area estimation household budget surveys 62E30 62J12
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Statistics, Probability and Uncertainty