A Class of Estimators for Population Ratio in Simple Random Sampling Using Variable Transformation

A. C. Onyeka, V. U. Nlebedim, C. H. Izunobi

Department of Statistics, Federal University of Technology, Owerri, Nigeria.

DOI: 10.4236/ojs.2014.44029                

Abstract

This paper is an extension and generalization of the study carried out by [1] on the estimation of the population ratio (R) of the population means of two variables (y and x) under Simple Random Sampling (SRS) scheme, using a variable transformation of the auxiliary variable, x. All the six estimators proposed by [1] are easily identified as special cases of the proposed class of estimators. Asymptotic properties of the proposed class of estimators are derived theoretically and subsequently verified using empirical illustrations. Some of the proposed estimators are found to have relatively large gains in efficiency over the customary ratio estimator,  for the given data set.

Keywords

Variable Transformation, Ratio, Product and Regression-Type Estimators, Mean Squared Error

Conflicts of Interest

The authors declare no conflicts of interest.

References

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