Ratio and Product Type Exponential Estimators

Abstract

This paper proposes new ratio and product type estimators for estimating the mean of the finite population using information on single auxiliary variable. The bias and mean square error of these estimators have been obtained. These estimators are compared fer their precision with usual mean per unit, ratio and product estimators and are found to be more efficient in many practical situations. Further, it is shown that these estimators reduce to regression estimator.

A New Exponential Type Estimator for the Population Mean in Simple Random Sampling

“…It is shown that proposed exponential type estimator is always more efficient than estimators considered by Bahl and Tuteja (1991) and Singh, Chauhan, Sawan, and Smarandache (2009). From numerical examples it is also observed that proposed modified ratio estimator performs better than existing estimators.…”

Estimation of Population Mean under Non-Response using Various Imputation Methods for Stratified Population

“…Motivated by Bahl and Tuteja (1991) the imputation techniques utilizing the exponential-type estimator are defined as: …”

Some estimator types for population mean using linear transformation with the help of the minimum and maximum values of the auxiliary variable

“…Thus, we compare the product type estimators with each other. Finally, we compare the MSE of our new product type exponential estimators with the MSE of the classical product estimator, the product type exponential estimator given by Bahl and Tuteja [1] and our new product estimators. We obtain…”