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In this paper, we have proposed a two phase sampling estimator for domain mean using auxiliary character with unknown X a domain mean. Also discussed properties of the proposed estimator for domain mean ps a T ,γ , using auxiliary character. Simulation study of the proposed estimator ps a T ,γ , has been made with conventional ratio synthetic estimator for domain mean ps a T ,−1, using auxiliary character in terms of simulated relative standard error (SRSE) and absolute relative bias (ARB). Simulation study shows that under synthetic assumption proposed estimator is more efficient than conventional ratio synthetic estimator for domain mean using auxiliary character.

GENERALIZED SYNTHETIC ESTIMATOR FOR DOMAIN MEAN IN TWO PHASE SAMPLING USING SINGLE AUXILIARY CHARACTER