样本调查中使用两个辅助变量的有限总体均值的广义估计

Pub Date : 2022-02-22 DOI:10.13052/jrss0974-8024.1514
H. P. Singh, P. Nigam
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引用次数: 3

摘要

本文提出了利用两个辅助变量x和z的信息估计研究变量Y的有限总体均值Y¯Y¯的广义估计量。我们研究了所提出的广义估计量在无替换方案的简单随机抽样和一阶逼近的分层随机抽样中的性质。结果表明,所建议的估计量比传统的无偏估计量、比率估计量、乘积估计量、传统的差分估计量、Srivastava(1967)估计量、Ray等人(1979)估计量、Vos(1980)估计量、Upadhyaya等人(1985)估计量、Rao(1991)估计量和Gupta和Shabbir(2008)估计量更有效。通过实证研究,理论结果得到了很好的支持。
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A Generalized Class of Estimators for Finite Population Mean Using Two Auxiliary Variables in Sample Surveys
In this paper we have suggested a generalized class of estimators for estimating the finite population mean Y¯Y¯ of the study variable y using information on two auxiliary variables x and z. We have studied the properties of the proposed generalized class of estimators in simple random sampling without replacement scheme and in stratified random sampling up to the first order of approximation. It is shown that the suggested class of estimators is more efficient than the conventional unbiased estimator, ratio estimator, product estimator, traditional difference estimator, Srivastava (1967) estimator, Ray et al. (1979) estimator, Vos (1980) estimator, Upadhyaya et al. (1985) estimator, Rao (1991) estimator and Gupta and Shabbir (2008) estimator. Theoretical results are well supported through an empirical study.
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