Improved generalized class of estimators in estimating the finite population mean using two auxiliary variables under two-stage sampling

This article addresses the problem of estimating the finite population mean using two auxiliary variables under two-stage sampling scheme. Further the proposed improved class of estimators are provided their genralized form. Mathematical properties of the existing and proposed improved generalized c...

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Bibliographic Details
Main Authors: Aamir, M. (Author), Ahmad, S. (Author), Ahmad, Z. (Author), Alrajhi, S. (Author), El-Morshedy, M. (Author), Hussain, S. (Author), Shabbir, J. (Author)
Format: Article
Language:English
Published: American Institute of Mathematical Sciences 2022
Subjects:
Online Access:View Fulltext in Publisher
LEADER 01590nam a2200265Ia 4500
001 10.3934-math.2022592
008 220425s2022 CNT 000 0 und d
020 |a 24736988 (ISSN) 
245 1 0 |a Improved generalized class of estimators in estimating the finite population mean using two auxiliary variables under two-stage sampling 
260 0 |b American Institute of Mathematical Sciences  |c 2022 
856 |z View Fulltext in Publisher  |u https://doi.org/10.3934/math.2022592 
520 3 |a This article addresses the problem of estimating the finite population mean using two auxiliary variables under two-stage sampling scheme. Further the proposed improved class of estimators are provided their genralized form. Mathematical properties of the existing and proposed improved generalized class of estimators are derived up to first order of approximation. We identified 11 members of the improved generalized class of estimators which are more efficient than existing estimators in terms of the percentage relative efficiency. We use two real data sets under two-stage sampling to compare the performances of all of considered estimators. © 2022 the Author(s), licensee AIMS Press. 
650 0 4 |a auxiliary variables 
650 0 4 |a bias 
650 0 4 |a efficiency 
650 0 4 |a mean square error 
650 0 4 |a two-stage sampling 
700 1 |a Aamir, M.  |e author 
700 1 |a Ahmad, S.  |e author 
700 1 |a Ahmad, Z.  |e author 
700 1 |a Alrajhi, S.  |e author 
700 1 |a El-Morshedy, M.  |e author 
700 1 |a Hussain, S.  |e author 
700 1 |a Shabbir, J.  |e author 
773 |t AIMS Mathematics