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AIMS Mathematics

2021, Volume 6, Issue 12: 13592-13607. doi: 10.3934/math.2021790
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Research article

A general class of estimators on estimating population mean using the auxiliary proportions under simple and two phase sampling

  • 1.
    Faculty of Economics, Taiyuan Normal University, Taiyuan, China
  • 2.
    Shanxi University of Finance and Economics, Taiyuan, China
  • Received: 27 May 2021 Accepted: 13 September 2021 Published: 24 September 2021

  • MSC : 62D99, 62F10

  • This article deals with estimation of finite population mean using the auxiliary proportion under simple and two phase sampling scheme utilizing two auxiliary variables. Mathematical expressions for the mean squared errors of the proposed estimators are derived under first order of approximation. We compare the proposed class of estimators "theoretically and numerically" with the usual mean estimator of Naik and Gupta [1]. The theoretical as well as numerical findings support the superiority of our proposed class of estimator as compared to estimators available in literature.

    Citation: Xuechen Liu, Muhammad Arslan. A general class of estimators on estimating population mean using the auxiliary proportions under simple and two phase sampling[J]. AIMS Mathematics, 2021, 6(12): 13592-13607. doi: 10.3934/math.2021790

    Related Papers:

  • This article deals with estimation of finite population mean using the auxiliary proportion under simple and two phase sampling scheme utilizing two auxiliary variables. Mathematical expressions for the mean squared errors of the proposed estimators are derived under first order of approximation. We compare the proposed class of estimators "theoretically and numerically" with the usual mean estimator of Naik and Gupta [1]. The theoretical as well as numerical findings support the superiority of our proposed class of estimator as compared to estimators available in literature.


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  • © 2021 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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