%0 Journal Article %A Zarei, Shaho %T Robust Empirical Bayes Small Area Estimation with Symmetric α-Stable Distribution for Error Components %J Journal of Statistical Sciences %V 15 %N 2 %U http://jss.irstat.ir/article-1-746-en.html %R 10.52547/jss.15.2.463 %D 2022 %K Small Area Estimation, Area Level Model, Empirical Bayes, α-Stable Distribution., %X The most widely used model in small area estimation is the area level or the Fay-Herriot model. In this model, it is typically assumed that both the area level random effects (model errors) and the sampling errors have a Gaussian distribution. However, considerable variations in error components (model errors and sampling errors) can cause poor performance in small area estimation. In this paper, to overcome this problem, the symmetric α-stable distribution is used to deal with outliers in the error components. The model parameters are estimated with the empirical Bayes method. The performance of the proposed model is investigated in different simulation scenarios and compared with the existing classic and robust empirical Bayes methods. The proposed model can improve estimation results, in particular when both error components are normal or have heavy-tailed distribution. %> http://jss.irstat.ir/article-1-746-en.pdf %P 463-480 %& 463 %! Robust Empirical Bayes Small Area Estimation with Symmetric α-Stable Distribution for Error Components %9 Applied %L A-10-1170-1 %+ Department of Statistics, University of Kurdistan, Sanandaj , Iran. %G eng %@ 1735-8183 %[ 2022