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An Improved Estimation Procedure of the Mean of a Sensitive Variable Using Auxiliary Information

Author

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  • Tanveer AT

    (Department of Computer Science and Engineering, Islamic University of Science and Technology, India)

  • Housila PS

    (School of Studies in Statistics, Vikram University Ujjain, India)

Abstract

This paper proposes new ratio and regression estimators for the mean of sensitive variable utilizing information on a non – sensitive auxiliary variable. Expressions for the Biases and mean square errors of the suggested estimators correct up to first order of approximation are derived. It has been shown that the suggested new ratio and regression estimators are better than conventional unbiased estimators which do not utilize the auxiliary information, Sousa et al. [1] ratio estimator and Gupta et al. [2] regression estimator under a very realistic condition. In support of the present study we have also given the numerical illustrations.

Suggested Citation

  • Tanveer AT & Housila PS, 2017. "An Improved Estimation Procedure of the Mean of a Sensitive Variable Using Auxiliary Information," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 3(2), pages 26-33, October.
    • Handle: RePEc:adp:jbboaj:v:3:y:2017:i:2:p:26-33
    DOI: 10.19080/BBOAJ.2017.03.555607
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    References listed on IDEAS

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    1. Christopher Gjestvang & Sarjinder Singh, 2009. "An improved randomized response model: estimation of mean," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(12), pages 1361-1367.
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