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Improvement in variance estimation using transformed auxiliary variable under simple random sampling.

Authors :
Ali, Hameed
Asim, Syed Muhammad
Ijaz, Muhammad
Zaman, Tolga
Iftikhar, Soofia
Source :
Scientific Reports. 9/3/2024, Vol. 14 Issue 1, p1-18. 18p.
Publication Year :
2024

Abstract

This paper offers a novel approach to formulate efficient ratio estimator of the population variance using a transformed auxiliary variable. The impact of transformation on auxiliary information has also been discussed. It is observed that incorporating a transformed auxiliary variable result in a high gain in efficiency. Theoretical properties of the newly developed estimators have been derived. The empirical and simulation studies show that the suggested estimators outperformed the existing estimators. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20452322
Volume :
14
Issue :
1
Database :
Academic Search Index
Journal :
Scientific Reports
Publication Type :
Academic Journal
Accession number :
179413921
Full Text :
https://doi.org/10.1038/s41598-024-58841-x