无响应情况下使用序和比辅助变量的两相比估计

IF 0.8 4区 综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2023-06-09 DOI:10.1007/s40010-023-00824-0
R. R. Sinha, Bharti Khanna
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引用次数: 0

摘要

本文讨论了在无响应情况下两总体均值之比的估计问题。在不完全数据无响应的情况下,提出了一种使用比率和序数辅助变量的广义两相估计器。推导了这类估计器的偏置和均方误差的表达式,得到了最优条件下均方误差的最小值。在固定预算和精度条件下,研究了这类估计量的性质。实际数据分析证明了所建议的估计器比相关估计器效率的提高。在理论和实证研究的基础上,说明了这类估计量比现有的常规估计量更有效。
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Two-Phase Ratio Estimation Using Ordinal and Ratio Auxiliary Variables in Non-response

In this paper, problem of estimation of ratio of two population means has been discussed in presence of non-response. A wider two-phase class of estimators has been suggested using ratio and ordinal auxiliary variables under incomplete data due to non-response. Expressions of bias and mean square error of the suggested class of estimators have been derived, and minimum value of mean square error has been obtained under optimum conditions. The properties of the suggested class of estimators have been studied under fixed budget as well as precision. The increase in efficiency of the suggested class of estimators over the relevant estimators has been demonstrated by real data analysis. On the ground of theoretical and empirical studies, it has been explained that suggested class of estimators is efficient than existing conventional estimators.

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来源期刊
CiteScore
2.60
自引率
0.00%
发文量
37
审稿时长
>12 weeks
期刊介绍: To promote research in all the branches of Science & Technology; and disseminate the knowledge and advancements in Science & Technology
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