Efficient Estimation for Ratio of Means Using Dual Auxiliary Information under Non-Response

Authors

  • Raghaw Raman Sinha Department of Mathematics and Computing, Dr B R Ambedkar National Institute of Technology, Jalandhar, India
  • Bharti Khanna Department of Mathematics and Computing, Dr B R Ambedkar National Institute of Technology, Jalandhar, India

Keywords:

Ratio estimation, bias, mean square error, incomplete data

Abstract

The present research article deals with the problem of estimating the ratio of two populations with incomplete information due to the phenomenon of non-response. The main objective of this research is to develop new extensive classes of estimators for efficient estimation of the ratio of two population means, by introducing ranks of auxiliary character under both complete and incomplete information. To study the properties of the suggested classes of estimators, the first-order approximate bias and mean square error are obtained. The expressions of the minimum mean square error of the proposed estimators under specified conditions are derived. The efficiency in terms of mean square error of the proposed classes of estimators has been theoretically compared with conventional ratio, product, generalized, Khare and Sinha (2012a), and Sinha et al. (2022) estimators. An empirical study based on factual data sets has been carried out to analyze the efficiency of the estimators, and it has been observed that the proposed estimator outperforms all the existing relevant estimators, including the most efficient Sinha et al. (2022) estimator to the best of our knowledge so far.

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Published

2024-06-29

How to Cite

Raman Sinha, R. ., & Khanna, B. . (2024). Efficient Estimation for Ratio of Means Using Dual Auxiliary Information under Non-Response. Thailand Statistician, 22(2), 736–749. Retrieved from https://ph02.tci-thaijo.org/index.php/thaistat/article/view/254785

Issue

Vol. 22 No. 2 (2024): April

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Articles

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