Title of article :
Hartley-Ross type unbiased estimators of population mean using two auxiliary variables
Author/Authors :
Javed, M. Department of Mathematics - Institute of Statistics - Zhejiang University, Hangzhou, China , Irfan, M. Department of Mathematics - Institute of Statistics - Zhejiang University, Hangzhou, China , Pang, T. Department of Mathematics - Institute of Statistics - Zhejiang University, Hangzhou, China
Abstract :
In survey sampling, it is a well-established phenomenon that the eciency
of estimators increases with proper information on auxiliary variable(s). Keeping this
fact in mind, the information on two auxiliary variables was utilized to propose a family
of Hartley-Ross type unbiased estimators for estimating population mean under simple
random sampling without replacement. Minimum variance of the new estimators was
derived up to the rst degree of approximation. Three real datasets were used to verify the
ecient performance of the new family in comparison to the usual unbiased, Hartley and
Ross, and other competing estimators.
Keywords :
Auxiliary variable , Hartley-Ross type estimator , Unbiased , Variance
Journal title :
Scientia Iranica(Transactions E: Industrial Engineering)