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The use of auxiliary information usually improves the precision of estimation of finite population total in survey sampling. In this paper, we put forward a two-step calibration estimator of finite population total when multiple auxiliary variables are available. We study the statistical properties of the proposed estimator, suggest a method to select its parameters and carry out a simulation study to assess its performance. Results show that the proposed estimator outperforms others in terms of precision for different population distributions. We then apply the estimator to a set of real data, showing that it improves the precision in the estimation of finite population total.

Two-step calibration estimation under multiple auxiliary variables in survey sampling