TY - JOUR
ID - 4455
TI - Efficient ratio-type estimators of finite population mean based on correlation coefficient
JO - Scientia Iranica
JA - SCI
LA - en
SN - 1026-3098
AU - Irfan, Muhammad
AU - Javed, Maria
AU - Lin, Zhengyan
AD - Department of Mathematics, Institute of Statistics, Zhejiang University, Hangzhou 310027, China
AD - Department of Mathematics, Institute of Statistics, Zhejiang University, Hangzhou 310027 China
AD - Department of Mathematics, Institute of Statistics, Zhejiang University, Hangzhou 310027 China.
Y1 - 2018
PY - 2018
VL - 25
IS - 4
SP - 2361
EP - 2372
KW - Auxiliary variable
KW - Bias
KW - Correlation Coefficient
KW - Efficiency
KW - Mean squared error
KW - Ratio-type estimators
DO - 10.24200/sci.2017.4455
N2 - 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.
UR - http://scientiairanica.sharif.edu/article_4455.html
L1 - http://scientiairanica.sharif.edu/article_4455_e8c488486d6fffdaf17aa071e1ebec7f.pdf
ER -