A new exponential ratio-type estimator with linear combination of two auxiliary variables

Jingli Lu; Zaizai Yan; Xiuyun Peng

doi:10.1371/journal.pone.0116124

A new exponential ratio-type estimator with linear combination of two auxiliary variables

PLoS One. 2014 Dec 26;9(12):e116124. doi: 10.1371/journal.pone.0116124. eCollection 2014.

Authors

Jingli Lu¹, Zaizai Yan¹, Xiuyun Peng¹

Affiliation

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

Abstract

In sample surveys, it is usual to make use of auxiliary information to increase the precision of estimators. We propose a new exponential ratio-type estimator of a finite population mean using linear combination of two auxiliary variables and obtain mean square error (MSE) equation for proposed estimator. We find theoretical conditions that make proposed estimator more efficient than traditional multivariate ratio estimator using information of two auxiliary variables, the estimator of Bahl and Tuteja and the estimator proposed by Abu-Dayeh et al. In addition, we support these theoretical results with the aid of two numerical examples.

Publication types

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

MeSH terms

Algorithms
Computer Simulation*
Models, Statistical*
Surveys and Questionnaires

Grants and funding

This work was supported by the National Natural Science Foundation of China (No. 11361036 and No. 11461051). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.