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

• 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: auxiliary variables; bias; efficiency; mean square error; two-stage sampling
• Online Access: View Fulltext in Publisher
• ISBN: 24736988 (ISSN)
• DOI: 10.3934/math.2022592

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.