<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The problem of small area prediction is considered under a Linear Mixed Model. The article presents a proposal of an empirical best linear unbiased predictor under a model with two correlated random effects. The main aim of the simulation analyses is a study of an influence of the occurrence of a correlation between random effects on properties of the predictor. In the article, an increase of the accuracy due to the correlation between random effects and an influence of model misspecification in cases of the lack of correlation between random effects are analyzed. The problem of the estimation of the Mean Squared Error of the proposed predictor is also considered. The Monte Carlo simulation analyses and the application were prepared in R language.</p></abstract>

The problem of small area prediction is considered under a Linear Mixed Model. The article presents a proposal of an empirical best linear unbiased predictor under a model with two correlated random effects. The main aim of the simulation analyses is a study of an influence of the occurrence of a correlation between random effects on properties of the predictor. In the article, an increase of the accuracy due to the correlation between random effects and an influence of model misspecification in cases of the lack of correlation between random effects are analyzed. The problem of the estimation of the Mean Squared Error of the proposed predictor is also considered. The Monte Carlo simulation analyses and the application were prepared in R language.

On Empirical Best Linear Unbiased Predictor Under a Linear Mixed Model with Correlated Random Effects

Econometrics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The problem of small area prediction is considered under a Linear Mixed Model. The article presents a proposal of an empirical best linear unbiased predictor...

On Empirical Best Linear Unbiased Predictor Under a Linear Mixed Model with Correlated Random Effects

Published Online: Jul 31, 2020

Page range: 17 - 29

DOI: https://doi.org/10.15611/eada.2020.2.02

Keywords
Empirical Best Linear Unbiased Predictor, small area estimation, Monte Carlo simulation analyses

© 2020 Małgorzata K. Krzciuk, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On Empirical Best Linear Unbiased Predictor Under a Linear Mixed Model with Correlated Random Effects

Published Online: Jul 31, 2020

Page range: 17 - 29

DOI: https://doi.org/10.15611/eada.2020.2.02

KeywordsEmpirical Best Linear Unbiased Predictor, small area estimation, Monte Carlo simulation analyses

© 2020 Małgorzata K. Krzciuk, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Empirical Best Linear Unbiased Predictor, small area estimation, Monte Carlo simulation analyses