Estimation of population mean of sensitive quantitative character using blank cards in randomized device

Abstract

This article presents the modified estimation procedures of population mean related to quantitative sensitive character with the help of a randomized device which makes the use of blank cards in the randomization process. Two different randomization techniques are used which consist the additive, multiplicative and combination of both scrambled models defined for sensitive characteristic. We also developed a privacy protection measure in situation where individuals are asked highly confidential questions concerning a quantitative sensitive character. The proposed techniques provide the unbiased estimation procedures of population mean along with enhanced privacy protection of the respondents. The comparisons of the proposed techniques have been made with respect to the Batool, Shabbir, and Hussain models. Numerical illustrations are presented to support the theoretical results.

Keywords:

• Blank card procedure
• Additive and multiplicative models
• Privacy
• Quantitative variable
• Unrelated question models

MATHEMATICS SUBJECT CLASSIFICATION:

• 62D05

Acknowledgments

The authors are thankful to the reviewer for their valuable suggestions which helped in improving the quality of this article. The authors are also grateful to the IIT(ISM), Dhanbad, for providing the financial assistance and necessary infrastructure to carry out the present work.