Efficient ratio-type estimators of finite population mean based on correlation coefficient

被引:5
|
作者
Irfan, M. [1 ,2 ]
Javed, M. [1 ,2 ]
Lin, Zh [1 ]
机构
[1] Zhejiang Univ, Inst Stat, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China
[2] Govt Coll Univ, Dept Stat, Faisalabad, Pakistan
关键词
Auxiliary variable; Bias; Correlation coefficient; Efficiency; Mean squared error; Ratio-type estimators; IMPROVEMENT;
D O I
10.24200/sci.2017.4455
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We proposed efficient families of ratio-type estimators to estimate finite population mean using known correlation coefficient between study variable and auxiliary variable by adopting Singh and Tailor's [Singh, MP., and Tailor, R. "Use of known correlation coefficient in estimating the finite population means", Statistics in Transition, 6(4), pp. 555-560 (2003)] estimator and Kadilar and Cingi's [Kadilar, C., and Cingi, H. "An improvement in estimating the population mean by using the correlation coefficient", Hacettepe Journal of Mathematics and Statistics, 35(1) pp. 103-109 (2006a)] class of estimators in simple random sampling without replacement. The newly proposed estimators behaved efficiently as compared to the common unbiased estimator, traditional ratio estimator, and the other competing estimators. Bias, mean squared error, and minimum mean squared error of the proposed ratio-type estimators were derived. Moreover, theoretical findings were proven with cooperation of two real data sets. (C) 2018 Sharif University of Technology. All rights reserved.
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页码:2361 / 2372
页数:12
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