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

Esteban, Maria J.; Lombardía, María José; Vizcaíno, María Esther López; Morales, Domingo; Pérez, Agustín

doi:10.1080/02664763.2020.1803809

Cited by 4 publications

(2 citation statements)

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“…How to cite this article: Esteban, M. D., Lombardía, M. J., López-Vizcaíno, E., Morales, D., & Pérez, A. (2022).…”

Section: Supporting Informationunclassified

“…Concerning unit‐level multivariate models, Fuller and Harter (1987) introduced the multivariate nested error regression (NER) model and Datta et al (1998) applied this model to hierarchical Bayes prediction of small area mean vectors. For analyzing unit‐level multivariate data in SAE, Ngaruye et al (2017), Ito and Kubokawa (2021) and Esteban et al (2022) gave EBLUPs of domain means and totals to treat problems of repeated measures, posted land prices, and expenditure data, respectively. Furthermore, Erciulescu et al (2019) employed a bivariate hierarchical Bayesian unit‐level model for estimating cropland cash rental rates at the county level.…”

Section: Introductionmentioning

confidence: 99%

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Empirical best prediction of small area bivariate parameters

Esteban

Lombardía

López-Vizcaíno³

et al. 2022

Scandinavian J Statistics

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This paper introduces empirical best predictors of small area bivariate parameters, like ratios of sums or sums of ratios, by assuming that the target unit-level vector follows a bivariate nested error regression model. The corresponding means squared errors are estimated by parametric bootstrap. Several simulation experiments empirically study the behavior of the introduced statistical methodology. An application to real data from the Spanish household budget survey gives estimators of ratios of food household expenditures by provinces.

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“…How to cite this article: Esteban, M. D., Lombardía, M. J., López-Vizcaíno, E., Morales, D., & Pérez, A. (2022).…”

Section: Supporting Informationunclassified

Section: Introductionmentioning

confidence: 99%

Empirical best prediction of small area bivariate parameters

Esteban

Lombardía

López-Vizcaíno³

et al. 2022

Scandinavian J Statistics

Self Cite

View full text Add to dashboard Cite

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

Esteban

Lombardía

López-Vizcaíno³

et al. 2023

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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.

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Multivariate Small-Area Estimation for Mixed-type Response Variables with Item Nonresponse

Sun

Berg

Zhu

2023

Journal of Survey Statistics and Methodology

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Many surveys collect information on discrete characteristics and continuous variables, that is, mixed-type variables. Small-area statistics of interest include means or proportions of the response variables as well as their domain means, which are the mean values at each level of a different categorical variable. However, item nonresponse in survey data increases the complexity of small-area estimation. To address this issue, we propose a multivariate mixed-effects model for mixed-type response variables subject to item nonresponse. We apply this method to two data structures where the data are missing completely at random by design. We use empirical data from two separate studies: a survey of pet owners and a dataset from the National Resources Inventory. In these applications, our proposed method leads to improvements relative to a direct estimator and a predictor based on a univariate model.

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

Cited by 4 publications

References 30 publications

Empirical best prediction of small area bivariate parameters

Empirical best prediction of small area bivariate parameters

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

Multivariate Small-Area Estimation for Mixed-type Response Variables with Item Nonresponse

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