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

机译:使用变量变换估计后分层抽样中的人口比率

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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–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.
机译:扩展[1]所做的工作,本文提出了使用变量变换的后分层抽样方案中两个变量的人口比率的六个组合型估计器。对于已实现的样本配置(条件自变量)和固定大小为n的重复样本(无条件自变量),所获得的估计量的性质均达到一阶近似(on-1)。获得效率条件。在这些条件下,建议的组合类型估计器的性能将优于关联的常规组合类型估计器。此外,在有条件和无条件参数的情况下,都获得了建议的组合类型估计量中的最优估计量。一项实证研究证实了理论结果。

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