A NEW FAMILY OF ESTIMATORS FOR MEAN ESTIMATION ALONG SIDE THE SENSITIVITY ISSUE

  • Usman Shahzad Department of Mathematics and Statistics, PMAS-Arid Agriculture University Rawalpindi, Pakistan
  • Muhammad Hanif Department of Mathematics and Statistics, PMAS-Arid Agriculture University Rawalpindi, Pakistan
  • Nursel Koyuncu Department of Statistics, Hacettepe University, Ankara, Turkey
  • Victoria Garcia Luengo Department of Mathematics, University of Almeria, Spain
Keywords: Mean Square Error, Scrambled Response, Simple Random Sampling

Abstract

In this article, we have envisaged a new family of estimators for finite population mean of the study variable Y under simple random sampling (SRS) utilizing one auxiliary variable. The work is also extended for the case when study variable has sensitive nature. Optimum properties such as bias and mean square error (MSE) of the proposed family of estimators have been determined for both cases. It has been shown that the proposed family of estimators is more efficient than existing estimators. In the support of the theoretical proposed work, we have given numerical illustration.

 

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Published
2017-10-12
Section
Articles