Improved Product-type Estimator for Estimating Population Mean using Harmonic Mean

In this paper, we have developed a new product-type estimator using harmonic mean of known auxiliary variable. The bias and mean square error of proposed newly product -type estimator has been derived up to first order of approximation. An empirical study has been carried out to show the performance of proposed estimator along with existing estimators. It is observed that the proposed product-type estimator is more efficient than the competing estimators. For theoretical support a general study is also carried out using normal and Weibull distribution.. KEYWORDS :Bias, Mean square error, Product estimator, Auxiliary variable, Normal distribution, Weibull distribution.