An efficient variant of dual to product and ratio estimators in sample surveys

Authors : Sayed ZEESHAN, Gajendra K VİSHWAKARMA, Manish KUMAR

Pages : 997-1010

Doi:10.31801/cfsuasmas.808888

View : 12 | Download : 10

Publication Date : 2021-12-31

Article Type : Research Paper

Abstract :This manuscript considers a dual to product and ratio estimator for estimating the finite population mean of study variable on applying a simple transformation to the auxiliary variable by using its average values in the population that is generally available in practice. The mean square error insert ignore into journalissuearticles values(MSE); of the proposed estimator has been obtained to the first degree of approximation. The optimum values and range of suitably chosen scalar, under which the proposed estimator perform better, have been determined. A method to lower the MSE of the proposed estimator relative to that of the MSE of the linear regression estimator is developed for small sample sizes. Theoretical and empirical studies have been done to demonstrate the superiority of the proposed estimator over the other estimators.
Keywords : Study variable, auxilliary variable, population mean, Bias, MSE