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## Comparison of mean squared error estimators under the Fay-Herriot model: application to poverty and percentage of food expenditure data

#### Yegnanew A SHİFERAW [1] , Jacqueline GALPİN [2]

Small area estimates have received much attention from both private and public sectors due to the growing demand for effective planning of health services, apportioning of government funds and policy and decision making. The uncertainty of empirical best linear unbiased predictor (EBLUP) estimates is widely assessed by mean squared error (MSE). MSEs are criticized as they are not area specific since they do not depend on the direct estimators from the survey. In this paper, we compare the performances of different MSE estimators with respect to the relative bias and relative risk using a Monte Carlo simulation study.  Simulation results suggest the superiority of the proposed MSEs over the existing methods in some situations. As a case study, the 2010/11 household consumption expenditure survey (HCES) and the 2007 housing and population census of Ethiopia have been used to study the performances of the MSE estimators.
Area-specific, EBLUP estimator, Fay-Herriot model, MSE estimator
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Primary Language en Statistics and Probability Statistics Orcid: 0000-0002-2422-4768Author: Yegnanew A SHİFERAW (Primary Author)Institution: University of JohannesburgCountry: South Africa Orcid: 0000-0002-4202-5033Author: Jacqueline GALPİN Institution: University of JohannesburgCountry: South Africa Publication Date : February 6, 2020
 Bibtex @research article { hujms516601, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2020}, volume = {49}, pages = {439 - 457}, doi = {10.15672/hujms.516601}, title = {Comparison of mean squared error estimators under the Fay-Herriot model: application to poverty and percentage of food expenditure data}, key = {cite}, author = {SHİFERAW, Yegnanew A and GALPİN, Jacqueline} } APA SHİFERAW, Y , GALPİN, J . (2020). Comparison of mean squared error estimators under the Fay-Herriot model: application to poverty and percentage of food expenditure data. Hacettepe Journal of Mathematics and Statistics , 49 (1) , 439-457 . DOI: 10.15672/hujms.516601 MLA SHİFERAW, Y , GALPİN, J . "Comparison of mean squared error estimators under the Fay-Herriot model: application to poverty and percentage of food expenditure data". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 439-457 Chicago SHİFERAW, Y , GALPİN, J . "Comparison of mean squared error estimators under the Fay-Herriot model: application to poverty and percentage of food expenditure data". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 439-457 RIS TY - JOUR T1 - Comparison of mean squared error estimators under the Fay-Herriot model: application to poverty and percentage of food expenditure data AU - Yegnanew A SHİFERAW , Jacqueline GALPİN Y1 - 2020 PY - 2020 N1 - doi: 10.15672/hujms.516601 DO - 10.15672/hujms.516601 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 439 EP - 457 VL - 49 IS - 1 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.516601 UR - https://doi.org/10.15672/hujms.516601 Y2 - 2020 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Comparison of mean squared error estimators under the Fay-Herriot model: application to poverty and percentage of food expenditure data %A Yegnanew A SHİFERAW , Jacqueline GALPİN %T Comparison of mean squared error estimators under the Fay-Herriot model: application to poverty and percentage of food expenditure data %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 1 %R doi: 10.15672/hujms.516601 %U 10.15672/hujms.516601 ISNAD SHİFERAW, Yegnanew A , GALPİN, Jacqueline . "Comparison of mean squared error estimators under the Fay-Herriot model: application to poverty and percentage of food expenditure data". Hacettepe Journal of Mathematics and Statistics 49 / 1 (February 2020): 439-457 . https://doi.org/10.15672/hujms.516601 AMA SHİFERAW Y , GALPİN J . Comparison of mean squared error estimators under the Fay-Herriot model: application to poverty and percentage of food expenditure data. Hacettepe Journal of Mathematics and Statistics. 2020; 49(1): 439-457. Vancouver SHİFERAW Y , GALPİN J . Comparison of mean squared error estimators under the Fay-Herriot model: application to poverty and percentage of food expenditure data. Hacettepe Journal of Mathematics and Statistics. 2020; 49(1): 457-439.

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