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A Class of Estimators for Population Ratio in Simple Random Sampling Using Variable Transformation
Department of Statistics, Federal University of Technology, Owerri, Nigeria
Department of Statistics, Federal University of Technology, Owerri, Nigeria
Department of Statistics, Federal University of Technology, Owerri, Nigeria
- 1 Department of Statistics, Federal University of Technology, Owerri, Nigeria
- 2 Department of Statistics, Federal University of Technology, Owerri, Nigeria
- 3 Department of Statistics, Federal University of Technology, Owerri, Nigeria
Open Journal of Statistics·Volume 04 (2014)·Pages 284–291·Published 20 June 2014·DOI10.4236/ojs.2014.44029
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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.
KeywordsVariable TransformationRatioProduct and Regression-Type EstimatorsMean Squared Error
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