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AIMS Mathematics

2021, Volume 6, Issue 5: 4265-4279. doi: 10.3934/math.2021252
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Research article

Exponential ratio and product type estimators of the mean in stratified two-phase sampling

  • 1.
    Department of Statistics, Çankırı Karatekin University, Çankırı, Turkey
  • 2.
    Department of Statistics, Hacettepe University, Beytepe, Ankara, Turkey
  • Received: 31 December 2020 Accepted: 01 February 2021 Published: 07 February 2021

  • MSC : 62D05

  • In this study, we propose exponential ratio estimators in the stratified two-phase sampling utilizing an auxiliary attribute. The expressions for the mean squared error of these exponential-type estimators under two different cases are derived and theoretical comparisons are made with competing estimators. We show that the proposed estimators have a lower mean square error than the simple mean estimator, usual stratified two-phase sampling ratio, and product estimators, usual exponential ratio and product estimators for the stratified two-phase sampling under the obtained conditions in theory. In addition, these theoretical results are supported with the aid of a numerical example.

    Citation: Tolga Zaman, Cem Kadilar. Exponential ratio and product type estimators of the mean in stratified two-phase sampling[J]. AIMS Mathematics, 2021, 6(5): 4265-4279. doi: 10.3934/math.2021252

    Related Papers:

  • In this study, we propose exponential ratio estimators in the stratified two-phase sampling utilizing an auxiliary attribute. The expressions for the mean squared error of these exponential-type estimators under two different cases are derived and theoretical comparisons are made with competing estimators. We show that the proposed estimators have a lower mean square error than the simple mean estimator, usual stratified two-phase sampling ratio, and product estimators, usual exponential ratio and product estimators for the stratified two-phase sampling under the obtained conditions in theory. In addition, these theoretical results are supported with the aid of a numerical example.


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