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Double-sampling regression-cum-exponential estimator of the mean of a sensitive variable

Author

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  • Iram Saleem
  • Aamir Sanaullah
  • Muhammad Hanif

Abstract

A flexible scrambled response model using a randomization device for quantitative sensitive data is used to evaluate the protection of respondents’ privacy. A double-sampling regression-cum-exponential estimator is used to estimate the mean of a sensitive variable using the mean of a nonsensitive auxiliary variable under scrambled response. The expected bias, the expected mean square error, and the minimum mean square error of this exponential-type estimator are expressed. Simulations and empirical results show that the proposed estimator under scrambled response model has a lower mean square error and a lower bias than the ratio and the exponential estimators.

Suggested Citation

  • Iram Saleem & Aamir Sanaullah & Muhammad Hanif, 2019. "Double-sampling regression-cum-exponential estimator of the mean of a sensitive variable," Mathematical Population Studies, Taylor & Francis Journals, vol. 26(3), pages 163-182, July.
    • Handle: RePEc:taf:mpopst:v:26:y:2019:i:3:p:163-182
    DOI: 10.1080/08898480.2019.1565273
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    Cited by:

    1. Subhash Kumar Yadav & Tarushree Bari & Gajendra K. Vishwakarma, 2023. "Generalized Double Sampling Family of Estimators for Population mean of Sensitive Variable Harnessing Non-sensitive Auxiliary Variable and Attribute," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(1), pages 54-76, May.

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