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AIMS Mathematics

2021, Volume 6, Issue 1: 737-753. doi: 10.3934/math.2021045
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Research article

Two-exponential estimators for estimating population mean

  • 1.
    Department of Statistics, COMSATS University Islamabad, Lahore Campus, Lahore, Pakistan
  • 2.
    National College of Business Administration and Economics Lahore, Pakistan
  • 3.
    Department of Statistics, Govt. College of Science, Wahdat Road, Lahore, Pakistan
  • Received: 29 July 2020 Accepted: 27 October 2020 Published: 30 October 2020

  • MSC : 26A33, 42A38

  • We introduce two-exponential shrinkage estimator using two stage two phase sampling for estimating population mean of study variable. Some properties of the proposed two-exponential shrinkage estimator are presented. The mathematical comparison in terms of the mean square error is done in order to demonstrate some conditions for which the proposed shrinkage estimators is more efficient than the already existing estimators in literature. A real life application is provided to show the performance of the proposed shrinkage estimator.

    Citation: Riffat Jabeen, Aamir Sanaullah, Muhammad Hanif, Azam Zaka. Two-exponential estimators for estimating population mean[J]. AIMS Mathematics, 2021, 6(1): 737-753. doi: 10.3934/math.2021045

    Related Papers:

  • We introduce two-exponential shrinkage estimator using two stage two phase sampling for estimating population mean of study variable. Some properties of the proposed two-exponential shrinkage estimator are presented. The mathematical comparison in terms of the mean square error is done in order to demonstrate some conditions for which the proposed shrinkage estimators is more efficient than the already existing estimators in literature. A real life application is provided to show the performance of the proposed shrinkage estimator.


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    [7] J. Shabbir, S. Gupta, Estimation of finite population mean using two auxiliary variables in stratified two-phase sampling, Commun. Stat. Simul. Comput., 46 (2017), 1238-1256. doi: 10.1080/03610918.2014.995817
    [8] H. Goldstein, Multilevel statistical models, New York: Halstead Press, 1995.
    [9] M. Q. Shahbaz, M. Hanif, A general shrinkage estimator in survey sampling, World Appl. Sci. J., 7 (2009), 593-596.
    [10] U. C. Su, K. Aditiya, H. Chandra, R. Parsad. Two phase sampling with two phases at the second stage of sampling for estimation of a finite population mean under random response mechanism, J. Indian Soc. Agric. Stat., 67 (2013), 305-317.
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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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