Abstract
In this paper the problem of estimating the population mean \(\bar{Y}\) of the study variable \(y\) using information on auxiliary variable \(x\) in systematic sampling has been considered. Taking motivation from Singh et al. (J Sci Res 56:177–182, 2012a; J Reliab Stat Stud 5(1):73–82, 2012b) we have proposed a class of estimators for the population mean \(\bar{Y}\). The bias and mean squared error (MSE) of the suggested class of estimators are obtained. Optimum condition is obtained in which the suggested class of estimators has minimum MSE. A numerical study is provided to show that the members of the proposed class of estimators are more efficient than the other existing estimators.
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Acknowledgements
The authors are thankful to the Editor-in-chief Dr. Amit Verma and both the anonymous learned referees for their variable suggestions regarding the improvement of the paper.
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Pal, S.K., Singh, H.P. Estimation of finite population mean using auxiliary information in systematic sampling. Int J Syst Assur Eng Manag 8 (Suppl 2), 1392–1398 (2017). https://doi.org/10.1007/s13198-017-0609-5
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DOI: https://doi.org/10.1007/s13198-017-0609-5