An Efficient Class of Estimators for the Population Mean Using Auxiliary Information

被引:27
|
作者
Singh, Housila P. [1 ]
Solanki, Ramkrishna S. [1 ]
机构
[1] Vikram Univ, Sch Studies Stat, Ujjain 456010, Madhya Pradesh, India
关键词
Auxiliary variable; Bias; Mean squared error; Simple random sampling; Study variable; RATIO; IMPROVEMENT;
D O I
10.1080/03610926.2011.575519
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
This article addresses the problem of estimating the population mean in the presence of auxiliary information. A class of estimators for population mean is defined. Asymptotic expressions of the bias and mean squared error of the proposed class of estimators were obtained. Asymptotic optimum estimator (AOE) in the proposed class of estimators was identified along with its mean squared error formula. It has been shown that the proposed class of estimators is more efficient than the usual regression estimator and Khoshnevisan et al. (), Singh et al. (), and Koyuncu and Kadilar () classes of estimators.
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页码:145 / 163
页数:19
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