1. On Some Problem of Prediction of Domain Total under Fay-Herriot Model
- Author
-
Żądło, Tomasz, Uniwersytet Ekonomiczny w Katowicach, Wydział Zarządzania, and Katedra Statystyki
- Subjects
model Faya-Herriota ,estymatory MSE ,EBLUP ,BLUP - Abstract
In the paper BLUPs and EBLUPs, their MSEs and estimators of MSEs under Fay-Herrior model (Fay, Herrior (1979)) are presented. This model belongs to the class of general linear mixed model type A, what means that is assumed for direct estimates of domain characteristics. What is more, it is assumed that variances of direct estimates are known. In the paper the influence of replacing the variances by their unbiased estimates and by genereal variance function’s estimates on biases of predictors, MSEs and biases of estimators of MSEs is studied in the simulation based on the real data. The problem of nonormality of area specific random components is also included
- Published
- 2012