Small area estimation of average compositions under multivariate nested error regression models

María Dolores Esteban, María José Lombardía (), Esther López-Vizcaíno, Domingo Morales and Agustín Pérez
Additional contact information
María Dolores Esteban: Universidad Miguel Hernández de Elche
María José Lombardía: Universidade da Coruña, CITIC
Esther López-Vizcaíno: Instituto Galego de Estatística
Domingo Morales: Universidad Miguel Hernández de Elche
Agustín Pérez: Universidad Miguel Hernández de Elche

TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, 2023, vol. 32, issue 2, No 12, 676 pages

Abstract: Abstract This paper investigates the small area estimation of population averages of unit-level compositional data. The new methodology transforms the compositions into vectors of $$R^m$$ 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.

Keywords: Household budget survey; Small area estimation; Multivariate nested error regression model; Compositional data; Bootstrap; Household expenditures; 62E30; 62J12 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s11749-023-00847-0 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:testjl:v:32:y:2023:i:2:d:10.1007_s11749-023-00847-0

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/11749/PS2

DOI: 10.1007/s11749-023-00847-0

Access Statistics for this article

TEST: An Official Journal of the Spanish Society of Statistics and Operations Research is currently edited by Alfonso Gordaliza and Ana F. Militino

More articles in TEST: An Official Journal of the Spanish Society of Statistics and Operations Research from Springer, Sociedad de Estadística e Investigación Operativa
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().