A Modified Ratio Estimator in the Presence of Tri-Mean and Interquartile Range for the Estimation of Population Variance

In this paper, a modified ratio estimator in the presence of tri-mean and interquartile range, for estimating the population variance is suggested. Studied the estimator proposed by Yadav et al. (2017) where they made use of information on the tri-mean and inter-quartile range of the auxiliary variable to improve the estimate and efficiency of the variance estimator for estimating the population variance. The bias and mean squared error of the presented estimator were derived up to the first order of approximation and conditions for which the proposed estimator was more efficient than other estimators considered in the study were also established. The numerical illustration was conducted using Murthy (1967) and Singh and Chaudhary (1986) datasets. It was shown that the proposed revised ratio estimator performs better than some existing related ratio estimators