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Small Area Estimation of Average Compositions Under Multivariate Nested Error Regression Models by María Dolores Esteban; María José Lombardía; Esther López-Vizcaíno; Domingo Morales; Agustín Pérez is a Mathematics article available to read on EtoBox.
What is Small Area Estimation of Average Compositions Under Multivariate Nested Error Regression Models about?
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.
Who reads Small Area Estimation of Average Compositions Under Multivariate Nested Error Regression Models?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- María Dolores Esteban; María José Lombardía; Esther López-Vizcaíno; Domingo Morales; Agustín Pérez
- Publisher
- Springer Science and Business Media LLC
- Published
- 2023
- Language
- EN
- Field
- Mathematics (Physical Sciences)