Estimation of finite population variance under stratified random sampling

In this paper, we develop estimators of the finite population variance using the information on the study variable's first and second raw moments under stratified random sampling. In addition, both combined and separate estimators are also developed for estimating the population variance using...

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Bibliographic Details
Published in:Communications in statistics. Simulation and computation 2023-12, Vol.ahead-of-print (ahead-of-print), p.1-17
Main Authors: Haq, Abdul, Usman, Muhammad, Khan, Manzoor
Format: Article
Language:English
Subjects:
Absolute bias
Auxiliary information
Combined and separate estimators
Estimation
Estimators
Random sampling
Relative efficiency
Unbiased estimator
Variance
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Summary:In this paper, we develop estimators of the finite population variance using the information on the study variable's first and second raw moments under stratified random sampling. In addition, both combined and separate estimators are also developed for estimating the population variance using supplementary information on a study variable and one or two auxiliary variables. The proposed estimators are compared with the existing estimators in terms of absolute bias and relative efficiency. Based on simulated and empirical studies, it is found that the proposed estimators may outperform the existing estimators.
ISSN:0361-0918
1532-4141
DOI:10.1080/03610918.2021.2009866