Volume 59, Issue 328, April 2023

An enhanced variance estimator with power transformation

Awwal Adejumobi^1♦, Mojeed Abiodun Yunusa²

¹Department of Mathematics, Kebbi State University of Science and Technology, Aliero, Nigeria
²Department of Statistics, Usmanu Danfodiyo University, Sokoto, Nigeria

^♦Corresponding author
Department of Mathematics, Kebbi State University of Science and Technology, Aliero Nigeria

ABSTRACT

In this study, we propose an enhanced variance estimator with power transformation to estimate the population variance of the study variable. The properties (Bias and Mean Square Error) of the proposed estimator were derived up to the first order of approximation using the Taylor series technique. The conditions for the proposed estimator to be better than existing related estimators are established. The empirical study was conducted using two natural populations and the result revealed that the proposed estimator is more efficient.

Keywords: Population variance, Sampling, Auxiliary variable, Mean Square Error, Bias

Discovery, 2023, 59, e41d1042

PDF

Published: April 2023