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Estimation of Ratio of Two Means Using Regression-Cum-Exponential Estimators in the Presence of Non-response

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Abstract

In the present paper, we study the regression-cum-exponential estimators for estimating ratio of two population means under two different situations. The bias and mean square errors (MSE) are obtained up to the first order of approximation and the conditions for attaining the minimum mean square error of suggested estimators are derived. Theoretical comparisons of suggested estimators with relevant estimators are given. Using real census data sets published by Government of India, an empirical study is carried out to justify the efficiency of the proposed estimators with the conventional as well as the estimators used in practice.

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Authors and Affiliations

  1. Department of Mathematics, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, India

    R. R. Sinha, Himani Dhingra & Priya Thakur

Authors
  1. R. R. Sinha
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  2. Himani Dhingra
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  3. Priya Thakur
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Correspondence to R. R. Sinha.

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Significance Statement of the Work

It has been observed in various studies that the auxiliary information is useful in enhancing the efficiency of the estimate of parameters in sample surveys. Non-response until now is a matter of concern in collection of information on the units selected in the sample. Estimation of ratio of two population means using auxiliary character is an eternal issue in the field of agriculture, socio-economic, engineering and medical, forest surveys, etc. Therefore, in this manuscript, two different efficient estimators are proposed to estimate the ratio of two population means using auxiliary character in the presence of non-response, and their properties are studied.

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Sinha, R.R., Dhingra, H. & Thakur, P. Estimation of Ratio of Two Means Using Regression-Cum-Exponential Estimators in the Presence of Non-response. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 92, 57–64 (2022). https://doi.org/10.1007/s40010-020-00690-0

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  • DOI: https://doi.org/10.1007/s40010-020-00690-0

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