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

Document Type: Article

Authors

1 Department of Mathematics, Institute of Statistics, Zhejiang University, Hangzhou 310027, China

2 Department of Mathematics, Institute of Statistics, Zhejiang University, Hangzhou 310027 China

3 Department of Mathematics, Institute of Statistics, Zhejiang University, Hangzhou 310027 China.

Abstract

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 [Singh, H. P., 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 [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 behave 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 are derived. Moreover, theoretically findings are proved with cooperation of two real data sets.
 

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