Estimation of Population Ratio in Post-Stratified Sampling Using Variable Transformation

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Author(s)  

Aloy Chijioke Onyeka, Chinyeaka Hostensia Izunobi, Iheanyi Sylvester Iwueze

Affiliation(s)

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

ABSTRACT

Extending the work carried out by [1], this paper proposes six combined-type estimators of population ratio of two variables in post-stratified sampling scheme, using variable transformation. Properties of the proposed estimators were obtained up to first order approximations,(on<span "="">–¹), both for achieved sample configurations (conditional argument) and over repeated samples of fixed size n (unconditional argument). Efficiency conditions were obtained. Under these conditions the proposed combined-type estimators would perform better than the associated customary combined-type estimator. Furthermore, optimum estimators among the proposed combined-type estimators were obtained both under the conditional and unconditional arguments. An empirical work confirmed the theoretical results.

 

KEYWORDS

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

Cite this paper

Onyeka, A. , Izunobi, C. and Iwueze, I. (2015) Estimation of Population Ratio in Post-Stratified Sampling Using Variable Transformation. Open Journal of Statistics, 5, 1-9. doi: 10.4236/ojs.2015.51001.

 

References

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