Abstract
The estimation of domain mean is being accelerated applied to draft program policy in the government and private sectors. The use of two auxiliary characters is better choice as compared to single auxiliary character. The main interest is to consist information about an additional auxiliary character z in auxiliary character x and utilize for interested domain. This paper has investigated conventional generalized synthetic estimator for domain mean using two auxiliary characters x and z, and also discussed its properties. A comparative study of the proposed estimator has been made with the conventional ratio and conventional generalized estimators in terms of absolute relative bias and simulated relative standard error. It has evaluated, the proposed estimator is more efficient than the relevant estimators.
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