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Communications in Mathematics and Statistics

, Volume 7, Issue 4, pp 401–415 | Cite as

An Efficient Scrambled Estimator of Population Mean of Quantitative Sensitive Variable Using General Linear Transformation of Non-sensitive Auxiliary Variable

  • Lovleen Kumar GroverEmail author
  • Amanpreet Kaur
Article
  • 136 Downloads

Abstract

In the present paper, we propose an efficient scrambled estimator of population mean of quantitative sensitive study variable, using general linear transformation of non-sensitive auxiliary variable. Efficiency comparisons with the existing estimators have been carried out both theoretically and numerically. It has been found that our optimal scrambled estimator is always more efficient than most of the existing scrambled estimators and also it is more efficient than few other scrambled estimators under some conditions.

Keywords

Bias Efficiency Non-sensitive auxiliary variable Randomized response technique Scrambled estimator Sensitive study variable Simple random sampling without replacement Percent relative efficiency 

Mathematics Subject Classification

62D05 

Notes

Acknowledgements

Authors are thankful to Editor/Associate editor and the three unknown learned referees for their useful and encouraging comments and suggestions, which lead to the present improved version of the paper.

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Copyright information

© School of Mathematical Sciences, University of Science and Technology of China and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsGuru Nanak Dev UniversityAmritsarIndia

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