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


Article Information

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

Authors: Amjad Mahmood, Muhammad Hanif, Attique Hussain

Journal: Asian Journal of Academic Research (AJAR)

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30

Publisher: FAIRLIPS in collaboration with FAIR PUBLISHERS

Country: Pakistan

Year: 2023

Volume: 4

Issue: 1

Language: English

Categories

Abstract

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


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