Small area estimation of the mean using non-parametric M-quantile regression: a comparison when a linear mixed model does not hold

2011 ◽  
Vol 81 (8) ◽  
pp. 945-964 ◽  
Author(s):  
N. Salvati ◽  
M. G. Ranalli ◽  
M. Pratesi
Keyword(s):  
Quantile Regression ◽  
Small Area ◽  
Mixed Model ◽  
Linear Mixed Model ◽  
Small Area Estimation ◽  
Area Estimation ◽  
The Mean ◽  
Non Parametric

scholarly journals Small Area Estimation on Zero-Inflated Data Using Frequentist and Bayesian Approach

2020 ◽  
Vol 18 (1) ◽  
pp. 2-22
Author(s):  
Kusman Sadik ◽  
Rahma Anisa ◽  
Euis Aqmaliyah
Keyword(s):  
Bayesian Approach ◽  
Small Area ◽  
Mixed Model ◽  
Linear Mixed Model ◽  
Small Area Estimation ◽  
Prediction Method ◽  
Linear Unbiased Prediction ◽  
Area Estimation ◽  
Best Linear Unbiased ◽  
Sr Method

The most commonly used method of small area estimation (SAE) is the empirical best linear unbiased prediction method based on a linear mixed model. However, it is not appropriate in the case of the zero-inflated target variable with a mixture of zeros and continuously distributed positive values. Therefore, various model-based SAE methods for zero-inflated data are developed, such as the Frequentist approach and the Bayesian approach. Both approaches are compared with the survey regression (SR) method which ignores the presence of zero-inflation in the data. The results show that the two SAE approaches for zero-inflated data are capable to yield more accurate area mean estimates than the SR method.

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

2020 ◽  
pp. 1-26
Author(s):  
María Dolores Esteban ◽  
María José Lombardía ◽  
Esther López-Vizcaíno ◽  
Domingo Morales ◽  
Agustín Pérez
Keyword(s):  
Small Area ◽  
Mixed Model ◽  
Linear Mixed Model ◽  
Small Area Estimation ◽  
Area Estimation ◽  
Unit Level

A generalized mixed model for skewed distributions applied to small area estimation

Test ◽  
2018 ◽  
Vol 28 (2) ◽  
pp. 565-597 ◽  
Author(s):  
Monique Graf ◽  
J. Miguel Marín ◽  
Isabel Molina
Keyword(s):  
Small Area ◽  
Mixed Model ◽  
Small Area Estimation ◽  
Skewed Distributions ◽  
Area Estimation

scholarly journals Estimation and Testing in M-quantile Regression with Applications to Small Area Estimation

2018 ◽  
Vol 86 (3) ◽  
pp. 541-570 ◽  
Author(s):  
Annamaria Bianchi ◽  
Enrico Fabrizi ◽  
Nicola Salvati ◽  
Nikos Tzavidis
Keyword(s):  
Quantile Regression ◽  
Small Area ◽  
Small Area Estimation ◽  
Area Estimation

Small area estimation under Fay–Herriot models with non-parametric estimation of heteroscedasticity

2010 ◽  
Vol 10 (2) ◽  
pp. 215-239 ◽  
Author(s):  
W González-Manteiga ◽  
MJ Lombarda ◽  
I Molina ◽  
D Morales ◽  
L Santamaría
Keyword(s):  
Small Area ◽  
Small Area Estimation ◽  
Parametric Estimation ◽  
Area Estimation ◽  
Non Parametric Estimation ◽  
Non Parametric
Sign in / Sign up

Export Citation Format

Share Document