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Auxiliary variable is extensively used in survey sampling to improve theprecision of estimates. Whenever there is availability of auxiliaryinformation, we want to utilize it in the method of estimation to obtain themost efficient estimator. In this paper using multi-auxiliary information wehave proposed estimators based on arithmetic, geometric and harmonic mean. Itwas also shown that estimator based on harmonic and geometric means are morebiased than estimator based on arithmetic mean under certain conditions.However, the MSE of all three estimators are same up to the first order ofapproximation.

Multivariate dual to ratio type estimators using arithmetic, geometric and harmonic means in simple random sampling