Use of some conventional and non-conventional parameters for improving the efficiency of ratio-type estimators

Abstract

In the extant calligraphy, we ponder the prominent estimation of population mean of peppermint yield by dint of a new class of estimators. We suggest class of estimators employing known non-traditional parameters of auxiliary variable along with some traditional as well. We study the sampling properties of the proposed class of estimators up to approximation of order one using Taylor’s series expansion. We compare the suggested class of estimators with the competing class of estimators using auxiliary variable. The conditions under which proposed class is more efficient then the competing estimators are obtained. These conditions of efficiency are verified using primary data collected from Siddhaur Block of Barabanki District of Uttar Pradesh State in INDIA. The mean squared errors of suggested and competing classes are calculated to compare them. We used a numerical example in environment engineering to support these theoretical results, thus enriching the sampling theory by the development of new estimators.