Open AccessEstimation of Finite Population Mean Using an Improved Class of Mixed Estimators with Two Auxiliary Variables
Author(s) -
Priyaranjan Dash,
Kalyani Sunani
Publication year - 2022
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2022/v18i330365
Subject(s) - estimator , mathematics , efficiency , class (philosophy) , statistics , population , population mean , variance (accounting) , variable (mathematics) , variables , computer science , mathematical analysis , economics , artificial intelligence , demography , accounting , sociology
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.