A class of ratio estimators of a finite population mean using two auxiliary variables

Jingli Lu; Zaizai Yan

doi:10.1371/journal.pone.0089538

A class of ratio estimators of a finite population mean using two auxiliary variables

PLoS One. 2014 Feb 24;9(2):e89538. doi: 10.1371/journal.pone.0089538. eCollection 2014.

Authors

Jingli Lu¹, Zaizai Yan¹

Affiliation

¹ College of Sciences, Inner Mongolia University of Technology, Hohhot, Inner Mongolia, China.

Abstract

In sample surveys, it is usual to increase the efficiency of the estimators by the use of the auxiliary information. We propose a class of ratio estimators of a finite population mean using two auxiliary variables and obtain mean square error (MSE) equations for the class of proposed estimators. We find theoretical conditions that make proposed family estimators more efficient than the traditional ratio estimator and the estimators proposed by Abu-Dayeh et al. using two auxiliary variables. In addition, we support these theoretical results with the aid of a numerical example.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Algorithms
Analysis of Variance*
Computer Simulation
Data Collection*
Humans
Models, Statistical*

Grants and funding

This work was supported by the National Natural Science Foundation of China No. 11361036. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.