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

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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.

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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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Authors and Affiliations

  1. Department of Mathematics, Guru Nanak Dev University, Amritsar, Punjab, 143005, India

    Lovleen Kumar Grover & Amanpreet Kaur

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  1. Lovleen Kumar Grover
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  2. Amanpreet Kaur
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Correspondence to Lovleen Kumar Grover.

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Grover, L.K., Kaur, A. An Efficient Scrambled Estimator of Population Mean of Quantitative Sensitive Variable Using General Linear Transformation of Non-sensitive Auxiliary Variable. Commun. Math. Stat. 7, 401–415 (2019). https://doi.org/10.1007/s40304-018-0146-9

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  • DOI: https://doi.org/10.1007/s40304-018-0146-9

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