Separate-Type Estimators for Estimating Population Ratio in Post-Stratified Sampling Using Variable Transformation
- 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
Abstract
The study proposes, along the line of [1], six separate-type estimators for estimating the population ratio of two variables in post-stratified sampling, using variable transformation. Properties of the proposed estimators were obtained up to first order approximations, both for achieved sample configurations (conditional argument) and over repeated samples of fixed size n (unconditional argument). Efficiency conditions, under which the proposed separate-type estimators would perform better than the associated customary separate-type estimators in terms of having smaller mean squared errors, were obtained. Furthermore, conditions under which some of the proposed separate-type estimators would perform better than other proposed separate-type estimators were also obtained. The optimum estimators among the proposed separate-type estimators were obtained and an empirical illustration confirmed the theoretical results.
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