Volume 178, Issue 3
Original Article

Small area estimation of labour force indicators under a multinomial model with correlated time and area effects

Esther López‐Vizcaíno

Instituto Galego de Estatística, Santiage de Compostela, Spain

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María José Lombardía

Corresponding Author

Universidade da Coruña, La Coruña, Spain

Address for correspondence: María José Lombardía, Departamento de Matemáticas, Universidade de Caruña, Campus Elviña, La Coruña 15071, Spain. E‐mail: maria.jose.lombardia@udc.esSearch for more papers by this author
Domingo Morales

Universidad Miguel Hernández de Elche, Spain

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First published: 30 September 2014
Citations: 14

Summary

The aim of the paper is the estimation of small area labour force indicators like totals of employed and unemployed people and unemployment rates. Small area estimators of these quantities are derived from four multinomial logit mixed models, including a model with correlated time and area random effects. Mean‐squared errors are used to measure the accuracy of the estimators proposed and they are estimated by analytic and bootstrap methods. The methodology introduced is applied to real data from the Spanish Labour Force Survey of Galicia.

Number of times cited according to CrossRef: 14

  • Small area estimation under a measurement error bivariate Fay–Herriot model, Statistical Methods & Applications, 10.1007/s10260-020-00515-9, (2020).
  • Small area estimation under a temporal bivariate area-level linear mixed model with independent time effects, Statistical Methods & Applications, 10.1007/s10260-020-00521-x, (2020).
  • Small area estimation of expenditure means and ratios under a unit-level bivariate linear mixed model, Journal of Applied Statistics, 10.1080/02664763.2020.1803809, (1-26), (2020).
  • Estimation of proportions in small areas: application to the labour force using the Swiss Census Structural Survey, Journal of the Royal Statistical Society: Series A (Statistics in Society), 10.1111/rssa.12498, 183, 1, (281-310), (2019).
  • Unemployment estimation: Spatial point referenced methods and models, Spatial Statistics, 10.1016/j.spasta.2019.01.004, (2019).
  • Small area estimation of proportions under area-level compositional mixed models, TEST, 10.1007/s11749-019-00688-w, (2019).
  • Small Area Estimation of Proportions with Constraint for National Resources Inventory Survey, Journal of Agricultural, Biological and Environmental Statistics, 10.1007/s13253-018-0329-6, 23, 4, (509-528), (2018).
  • Small area estimation under a spatially non-linear model, Computational Statistics & Data Analysis, 10.1016/j.csda.2018.04.002, 126, (19-38), (2018).
  • Small area estimation of poverty proportions under unit-level temporal binomial-logit mixed models, TEST, 10.1007/s11749-017-0545-3, 27, 2, (270-294), (2017).
  • Constructing sociodemographic indicators for national statistical institutes by using mobile phone data: estimating literacy rates in Senegal, Journal of the Royal Statistical Society: Series A (Statistics in Society), 10.1111/rssa.12305, 180, 4, (1163-1190), (2017).
  • Poisson mixed models for studying the poverty in small areas, Computational Statistics & Data Analysis, 10.1016/j.csda.2016.10.014, 107, (32-47), (2017).
  • Model-Assisted Estimation of Small Area Poverty Measures: An Application within the Valencia Region in Spain, Social Indicators Research, 10.1007/s11205-017-1678-1, (2017).
  • Semiparametric small area estimation for binary outcomes with application to unemployment estimation for local authorities in the UK, Journal of the Royal Statistical Society: Series A (Statistics in Society), 10.1111/rssa.12123, 179, 2, (453-479), (2015).
  • Empirical best prediction under area-level Poisson mixed models, TEST, 10.1007/s11749-015-0469-8, 25, 3, (548-569), (2015).