Improved family of estimators of population variance in simple random sampling

被引:29
作者
Yadav S.K. [1 ]
Kadilar C. [2 ]
Shabbir J. [3 ]
Gupta S. [4 ]
机构
[1] Department of Mathematics and Statistics (A Centre of Excellence), Dr. RML Avadh University, Faizabad, Uttar Pradesh
[2] Department of Statistics, Hacettepe University, Beytepe, Ankara
[3] Department of Statistics, Quaid-i-Azam University, Islamabad
[4] Department of Mathematics and Statistics, University of North Carolina at Greensboro, Greensboro, NC
关键词
Auxiliary variable; Bias; Efficiency; MSE;
D O I
10.1080/15598608.2013.856359
中图分类号
学科分类号
摘要
In this article, we suggest a general procedure for estimating the population variance through a class of estimators. The bias and mean square error (MSE) of the proposed class of estimators are obtained to the first degree of approximation. The proposed class of estimators is more efficient than many other estimators, such as the usual variance estimator, ratio estimator, the Bahal and Tuteja (1991) exponential estimator, the traditional regression estimator, the Rao (1991) estimator, the Upadhyaya and Singh (1999) estimator, and the Kadilar and Cingi (2006) estimators. Four data sets are used for numerical comparison. © Grace Scientific Publishing, LLC.
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页码:219 / 226
页数:7
相关论文
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