Exponential Ratio Type Estimators In Stratified Random Sampling

Exponential Ratio Type Estimators In Stratified Random Sampling
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分层随机抽样中的指数比率类型估计器

DOI:
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发表时间:
2013
期刊:
arXiv: Statistics Theory
影响因子:
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通讯作者:
M. K. Chaudhry
M. K. Chaudhry
中科院分区:
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文献类型:
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作者:
Rajesh Singh;Mukesh Kumar;R. D. Singh;M. K. Chaudhry

文献摘要

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Kadilar和Cingi(2003)在分层随机抽样中引入了一类使用辅助信息的估计量。本文利用Bahl和Tuteja(1991)及Kadilar和Cingi(2003)的估计量,给出了分层随机抽样下总体均值估计的比估计.得到了估计量的均方误差(MSE)方程,得到了估计量比其它估计量更有效的理论条件。这些理论研究结果的数值例子支持。
Kadilar and Cingi (2003) have introduced a family of estimators using auxiliary information in stratified random sampling. In this paper, we propose the ratio estimator for the estimation of population mean in the stratified random sampling by using the estimators in Bahl and Tuteja (1991) and Kadilar and Cingi (2003). Obtaining the mean square error (MSE) equations of the proposed estimators, we find theoretical conditions that the proposed estimators are more efficient than the other estimators. These theoretical findings are supported by a numerical example.