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Estimation of Population Mean Using Exponential Ratio and Product Type Estimators Under Ranked Set Sampling in Presence of Measurement Error

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Abstract

Measurement errors may significantly impact the accuracy of estimates in sample surveys. Even a small presence of such errors may raise doubts among the stakeholders, especially when dealing with sensitive characteristics. In this paper, we have introduced improved ratio, product, and exponential type estimators of the population mean in ranked set sampling. We have examined the properties of the proposed estimators, such as bias and mean square error, and demonstrated their dominance over some contemporary estimators using real and simulated datasets. Finally, recommendations have been made to practitioners.

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Acknowledgements

We are thankful to the IIT (ISM) Dhanbad for providing the financial and infrastructural support to accomplish the present work. Additionally, we would also like to thank the reviewers for their insightful and helpful comments, which have made significant improvements and brought the paper into its current form.

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Authors and Affiliations

  1. Department of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, 826004, India

    M. K. Pandey & G. N. Singh

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  1. M. K. Pandey
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  2. G. N. Singh
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Correspondence to M. K. Pandey.

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Pandey, M.K., Singh, G.N. Estimation of Population Mean Using Exponential Ratio and Product Type Estimators Under Ranked Set Sampling in Presence of Measurement Error. J Stat Theory Pract 18, 26 (2024). https://doi.org/10.1007/s42519-024-00378-3

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