Generalized Double Sampling Family of Estimators for Population mean of Sensitive Variable Harnessing Non-sensitive Auxiliary Variable and Attribute

Subhash Kumar Yadav (), Tarushree Bari () and Gajendra K. Vishwakarma ()
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Subhash Kumar Yadav: Babasaheb Bhimrao Ambedkar University
Tarushree Bari: Babasaheb Bhimrao Ambedkar University
Gajendra K. Vishwakarma: Indian Institute of Technology Dhanbad

Sankhya B: The Indian Journal of Statistics, 2023, vol. 85, issue 1, No 3, 54-76

Abstract: Abstract We present an enhanced double sampling generalized type estimator for the population mean of a sensitive research variable using information gathered from non-sensitive auxiliary variables and attribute, using a two-phase sampling procedure. Some special cases of the suggested family of estimators are also discussed. The expressions for bias and mean squared error of the proposed generalized estimators are derived and theoretical comparisons are made with competing estimators. Theoretical results are supported by numerical evidence generated from real-world data. A simulation analysis is also carried out to compare the efficiencies of the proposed and competing family of esimators. Both data sets show that the proposed generalized class of estimators outperforms all other estimators currently in use.

Keywords: 62D05; Sensitive Variable; Scrambled Response; Randomized Response Technique; Double Sampling Ratio Estimator; Two Phase Sampling; Simulation (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13571-022-00299-w

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