A New Exponential Approach for Reducing the Mean Squared Errors of the Estimators of Population Mean Using Conventional and Non-Conventional Location Parameters

Abstract

Classes of ratio-type estimators t (say) and ratio-type exponential estimators te (say) of the population mean are proposed, and their biases and mean squared errors under large sample approximation are presented. It is the class of ratio-type exponential estimators te provides estimators more efficient than the ratio-type estimators.

A new improved class of ratio-product type exponential estimators of the population variance

“…The ratio, product, regression, exponential and their different combinations are a popular choice, in practice, to enhance the efficiency of the estimators of population mean and variance in the presence of auxiliary information correlated with the study variable. The use of these estimators is expanding to a variety of fields such as yield estimation in agriculture, demographic studies, environmental Recently, ratio-type estimators for estimation of population mean have been developed which incorporate auxiliary information on nonconventional measures [28][29][30][31][32]. These non-conventional measures are somewhat robust and outlier resistant which aids in stabilizing the mean square error of the estimators in presence of outliers [8,33,34].…”