Abstract
The present manuscript deals with the enhanced estimation of population mean using the known negatively correlated auxiliary variable. We introduce a naïve class of product type estimators of population variance utilizing known auxiliary parameters. The expressions for the bias and the mean squared error (MSE) of the proposed family of estimators are retained up to the first order of approximation. The optimal values of the characterizing constants are obtained by the method of Maxima-Minima. The least value of MSE of the introduced class is obtained for these optimal values of the constants. The suggested family of estimators is compared with the competing product estimators of the population mean. The efficiency conditions are also obtained and these are verified through the real data set. The estimators with the lesser MSE are recommended for the practical utility in different areas of applications.
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