The Estimation of the Variance of a Sensitive Variable in the Presence of Auxiliary Variable Using Randomized Response Technique

Abstract

This paper presents a universal class of estimators for broad-spectrum population
factors of the study variables via auxiliary information in example evaluation.
Estimators of diverse parameters of the study variables based on auxiliary information
can be examined as an associate of the class of estimators. It also investigates the issue
of variance estimate in the occurrence of sensitive variable, which will be measured,
and suggest a comprehensive variance estimator for a susceptible variable by the
application of a randomized tool. A conservative estimator t(a,b) is used to characterize
the population parameter, coefficient of variation (C.V), the population mean, and
variance. A second-order ballpark figure for the minimum mean square estimator
(MSE) has been analyzed. The competence of the suggested estimator with other
estimators has been evaluated by using numerical study and simulation inquiry. The
outcomes showed that the anticipated universal variance estimator is more competent
than the previously available estimators of variance and ratio variance.