Estimation of Finite Population Mean Using an Improved Class of Mixed Estimators with Two Auxiliary Variables
Priyaranjan Dash *
Department of Statistics, Utkal University, Vani Vihar, Bhubaneswar, Odisha, Pin-751004, India.
Kalyani Sunani
Department of Statistics, Utkal University, Vani Vihar, Bhubaneswar, Odisha, Pin-751004, India.
*Author to whom correspondence should be addressed.
Abstract
This paper deals with a class of estimators of finite population mean using a combination of two mixed classes of estimators by exploring the information on two auxiliary variables. We have assumed that the study variable y is highly correlated with both the auxiliary variables x and z. The optimum properties of the proposed class of estimators is studied both theoretically and empirically. The minimum variance bound(MVB) estimator of this class is also derived and compared with several other competing estimators in terms of its bias and percent relative efficiency.
Keywords: Population mean, class of estimators, ratio estimator, dual to product estimator, relative bias, minimum variance bound (MVB), percent relative efficiency (PRE)