Hartley-Ross Type Unbiased Estimators of Population Mean Using Two Auxiliary Variables

Document Type: Article


1 Institute of Statistics, School of Mathematical studies, Zhejiang University, Hangzhou, China.

2 Institute of Statistics, School of Mathematical Studies, Zhejiang University, Hangzhou, China.


In survey sampling, most of the research work based on the fact that utilizing the information of auxiliary variable(s) boosts the efficiency of estimators. Keeping this fact in mind we used the information of two auxiliary variables 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 family is derived up to first order of approximation. Three real data sets are used to verify that the new family acts efficiently than the usual unbiased, Hartley and Ross (1954), Grover and Kaur (2014), Singh et al. (2014), Cekim and Kadilar (2016), Muneer et al. (2017) and Shabbir and Gupta (2017) estimators.


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