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

Jingli Lu,Zaizai Yan,Xiuyun Peng,Gang Han

doi:10.1371/journal.pone.0116124

Jingli Lu, Zaizai Yan + Show 2 more

Open Access

https://doi.org/10.1371/journal.pone.0116124

Copy DOI

Journal: PloS one	Publication Date: Dec 26, 2014
Citations: 10	License type: CC BY 4.0

Affiliation: Inner Mongolia University of Technology

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.

Highlights

In the sampling theory, the use of supplementary information provided by auxiliary variables in survey sampling was extensively discussed
On base of the estimator of Singh et al, Ozgul and Cingi [7] suggested a class of exponential regression cum ratio estimator in two phase sampling, mean square error (MSE) of the proposed estimator were obtained
We find theoretical conditions that make proposed exponential ratio-type 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 We compared the traditional ratio estimator using information of two auxiliary variables, the estimator of Bahl and Tuteja, the estimator proposed by Abu-Dayeh et al and proposed exponential ratio-type estimator using two statistic data sets

Summary

Introduction

The use of supplementary information provided by auxiliary variables in survey sampling was extensively discussed. Such information is generally used in ratio, product and regression type estimators for the estimation of population mean of study variable. On base of the estimator of Singh et al, Ozgul and Cingi [7] suggested a class of exponential regression cum ratio estimator in two phase sampling, MSE of the proposed estimator were obtained. These estimators were considered using one auxiliary variate

Methods

Results

Conclusion