Visualization of generalized mean estimators using auxiliary information in survey sampling

Abstract

The mean estimators with ratio depend on multiple auxiliary variables and unknown parameters in a finite population setting. We propose a new generalized approach with matrices for modeling the mutivariate mean estimators with two auxiliary variables. Our approach brings naturally a graphical analysis for comparing mean estimators.

Keywords:

• Auxiliary variable
• bias
• mean squared error
• ratio estimator
• visualization

Acknowledgment

The author would like to thanks the Editor-In-Chief and an anonymous Reviewer for suggesting to revise the previous shorter version of the document and for suggesting to add more generalized estimators.