Restructured searls family of estimators of population mean in the presence of nonresponse

Abstract

Nonresponse is a major problem encountered by surveyors when conducting sampling surveys. The present study suggested a naïve modified Searls method for the elevated estimation of the population mean of the primary variable under investigation by utilizing the known auxiliary parameters. The bias along with the mean squared error (MSE) of the introduced estimator is calculated up to the approximation of the first order. We compared the presented estimator with a competing usual unbiased estimator and other competing population mean estimators regarding the issue of nonresponse. The efficiency criteria of the introduced estimator outperforming the other estimators in the competition are determined and verified using five real data sets. The MSEs for the introduced estimator and the other estimators in the competition are calculated for the five considered populations. The estimator with the least MSE or highest percentage relative efficiency (PRE) is recommended for practical exercise in different areas of applications.

An Improvement in Estimating the Population Mean Based on Family of Estimators with Different Application Areas

“…),Anieting et al (2020);Ahmad et al (2022);Ahmadini et al (2022);Fatima et al (2022);Rehman and Shabbir (2022) andSharma et al (2022) recently proposed various type of estimators for the estimation of 𝑌 ̅ under both cases in the literature. Especially, there are also many proposed estimators using exponential function strategy in the literature under non-response scheme.…”